%-------------------------------------------------------------------------
%new

@inproceedings{andriushchenko2025small,
  title={Small Decision Trees for {MDPs} with Deductive Synthesis},
  author={Andriushchenko, Roman and {\v{C}}e{\v{s}}ka, Milan and Junges, Sebastian and Mac{\'a}k, Filip},
   booktitle= {{CAV} (to appear)},
  year={2025}
}


@article{bertsekas1996neuro,
  title={Neuro-dynamic programming},
  author={Bertsekas, DP},
  journal={Athena Scientific},
  year={1996}
}


@inproceedings{DBLP:journals/corr/abs-2308-16210,
  author       = {Andreas C. Bueff and
                  Vaishak Belle},
  title        = {Deep Inductive Logic Programming meets Reinforcement Learning},
  booktitle    = {{ICLP}},
  series       = {{EPTCS}},
  volume       = {385},
  pages        = {339--352},
  year         = {2023}
}

@inproceedings{vos2023optimal,
  title={Optimal decision tree policies for {M}arkov decision processes},
  author={Vos, Dani{\"e}l and Verwer, Sicco},
  booktitle={IJCAI},
  @pages={5457--5465},
  year={2023}
}

@inproceedings{DBLP:conf/aips/ChatterjeeCT18,
  author       = {Krishnendu Chatterjee and
                  Martin Chmelik and
                  Ufuk Topcu},
  title        = {Sensor Synthesis for POMDPs with Reachability Objectives},
  booktitle    = {{ICAPS}},
  pages        = {47--55},
  publisher    = {{AAAI} Press},
  year         = {2018}
}

@inproceedings{ashok2021dtcontrol,
  title={dt{C}ontrol 2.0: Explainable strategy representation via decision tree learning steered by experts},
  author={Ashok, Pranav and Jackermeier, Mathias and K{\v{r}}et{\'\i}nsk{\'y}, Jan and Weinhuber, Christoph and Weininger, Maximilian and Yadav, Mayank},
  booktitle={TACAS},
  @pages={326--345},
@series       = {{LNCS}},
  @volume       = {12652},
  year={2021},
  @organization={Springer}
}


@inproceedings{david2015uppaal,
  title={Uppaal stratego},
  author={David, Alexandre and Jensen, Peter Gj{\o}l and Larsen, Kim Guldstrand and Miku{\v{c}}ionis, Marius and Taankvist, Jakob Haahr},
  booktitle={TACAS},
  @pages={206--211},
  year={2015},
  @organization={Springer}
}

@Incollection{Hansen2019,
author="Hansen, Pierre
and Mladenovi{\'{c}}, Nenad
and Brimberg, Jack
and P{\'e}rez, Jos{\'e} A. Moreno",
@editor="Gendreau, Michel
and Potvin, Jean-Yves",
title="Variable Neighborhood Search",
bookTitle="Handbook of Metaheuristics",
year="2019",
@publisher="Springer International Publishing",
@address="Cham",
@pages="57--97",
@abstract="Variable neighborhood search (VNS) is a metaheuristic for solving combinatorial and global optimization problems whose basic idea is a systematic change of neighborhood both within a descent phase to find a local optimum and in a perturbation phase to get out of the corresponding valley. In this chapter we present the basic schemes of VNS and some of its extensions. We then describe recent developments, i.e., formulation space search and variable formulation search. We then present some families of applications in which VNS has proven to be very successful: (1) exact solution of large scale location problems by primal-dual VNS; (2) generation of solutions to large mixed integer linear programs, by hybridization of VNS and local branching; (3) generation of solutions to very large mixed integer programs using VNS decomposition and exact solvers (4) generation of good feasible solutions to continuous nonlinear programs; (5) adaptation of VNS for solving automatic programming problems from the Artificial Intelligence field and (6) exploration of graph theory to find conjectures, refutations and proofs or ideas of proofs.",
@isbn="978-3-319-91086-4",
@doi="10.1007/978-3-319-91086-4_3",
@url="https://doi.org/10.1007/978-3-319-91086-4_3"
}

------

% main

@article{DBLP:journals/fmsd/KattenbeltKNP10,
  author       = {Mark Kattenbelt and
                  Marta Z. Kwiatkowska and
                  Gethin Norman and
                  David Parker},
  title        = {A game-based abstraction-refinement framework for {M}arkov decision
                  processes},
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}

@inproceedings{DBLP:conf/hase/RodriguesANLCSS15,
  author       = {Gena{\'{\i}}na Nunes Rodrigues and
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                  Vinicius Nunes and
                  Andr{\'{e}} Lanna and
                  Maxime Cordy and
                  Pierre{-}Yves Schobbens and
                  Amir Molzam Sharifloo and
                  Axel Legay},
  title        = {Modeling and Verification for Probabilistic Properties in Software
                  Product Lines},
  booktitle    = {{HASE}},
  pages        = {173--180},
  publisher    = {{IEEE} Computer Society},
  year         = {2015}
}

@article{DBLP:journals/infsof/GhezziS13,
  author       = {Carlo Ghezzi and
                  Amir Molzam Sharifloo},
  title        = {Model-based verification of quantitative non-functional properties
                  for software product lines},
  journal      = {Inf. Softw. Technol.},
  volume       = {55},
  number       = {3},
  pages        = {508--524},
  year         = {2013}
}

@inproceedings{DBLP:conf/tacas/HahnHWZ10,
  author       = {Ernst Moritz Hahn and
                  Holger Hermanns and
                  Bj{\"{o}}rn Wachter and
                  Lijun Zhang},
  title        = {{PASS:} Abstraction Refinement for Infinite Probabilistic Models},
  booktitle    = {{TACAS}},
  series       = {{LNCS}},
  volume       = {6015},
  pages        = {353--357},
  publisher    = {Springer},
  year         = {2010}
}

@article{DBLP:journals/jmlr/NarvekarPLSTS20,
  author       = {Sanmit Narvekar and
                  Bei Peng and
                  Matteo Leonetti and
                  Jivko Sinapov and
                  Matthew E. Taylor and
                  Peter Stone},
  title        = {Curriculum Learning for Reinforcement Learning Domains: {A} Framework
                  and Survey},
  journal      = {J. Mach. Learn. Res.},
  volume       = {21},
  pages        = {181:1--181:50},
  year         = {2020}
}

@inproceedings{DBLP:conf/qest/HahnNPWZ11,
  author       = {Ernst Moritz Hahn and
                  Gethin Norman and
                  David Parker and
                  Bj{\"{o}}rn Wachter and
                  Lijun Zhang},
  title        = {Game-based Abstraction and Controller Synthesis for Probabilistic
                  Hybrid Systems},
  booktitle    = {{QEST}},
  pages        = {69--78},
  publisher    = {{IEEE} Computer Society},
  year         = {2011}
}

@article{DBLP:journals/tac/WintererJWJTKB21,
  author       = {Leonore Winterer and
                  Sebastian Junges and
                  Ralf Wimmer and
                  Nils Jansen and
                  Ufuk Topcu and
                  Joost{-}Pieter Katoen and
                  Bernd Becker},
  title        = {Strategy Synthesis for {POMDP}s in Robot Planning via Game-Based Abstractions},
  journal      = {{IEEE} Trans. Autom. Control.},
  volume       = {66},
  number       = {3},
  pages        = {1040--1054},
  year         = {2021}
}

@article{DBLP:journals/corr/abs-2111-09794,
  author    = {Robert Kirk and
               Amy Zhang and
               Edward Grefenstette and
               Tim Rockt{\"{a}}schel},
  title     = {A Survey of Generalisation in Deep Reinforcement Learning},
  journal   = {CoRR},
  volume    = {abs/2111.09794},
  year      = {2021}
}

@inproceedings{DBLP:journals/corr/abs-2004-13287,
  author       = {Clemens Dubslaff and
                  Andrey Morozov and
                  Christel Baier and
                  Klaus Janschek},
  title        = {Iterative Variable Reordering: Taming Huge System Families},
  booktitle    = {MARS},
  series       = {{EPTCS}},
  volume       = {316},
  pages        = {121--133},
  year         = {2020}
}

@inproceedings{DBLP:conf/cdc/WeiningerMK19,
  author       = {Maximilian Weininger and
                  Tobias Meggendorfer and
                  Jan Kret{\'{\i}}nsk{\'{y}}},
  title        = {Satisfiability Bounds for {\(\omega\)}-Regular Properties in Bounded-Parameter {Markov} Decision Processes},
  booktitle    = {{CDC}},
  pages        = {2284--2291},
  publisher    = {{IEEE}},
  year         = {2019}
}

@inproceedings{DBLP:conf/tacas/VegtJJ23,
  author       = {Marck van der Vegt and
                  Nils Jansen and
                  Sebastian Junges},
  title        = {Robust Almost-Sure Reachability in Multi-Environment {MDP}s},
  booktitle    = {{TACAS} {(1)}},
  series       = {{LNCS}},
  volume       = {13993},
  pages        = {508--526},
  publisher    = {Springer},
  year         = {2023}
}

@inproceedings{DBLP:conf/qest/AshokKLCTW19,
  author       = {Pranav Ashok and
                  Jan K{\v{r}}et{\'{\i}}nsk{\'{y}} and
                  Kim Guldstrand Larsen and
                  Adrien Le Co{\"{e}}nt and
                  Jakob Haahr Taankvist and
                  Maximilian Weininger},
  title        = {{SOS:} Safe, Optimal and Small Strategies for Hybrid {Markov} Decision
                  Processes},
  booktitle    = {{QEST}},
  @series       = {{LNCS}},
  @volume       = {11785},
  @pages        = {147--164},
  @publisher    = {Springer},
  year         = {2019}
}

@inproceedings{DBLP:conf/tacas/AshokJKWWY21,
  author       = {Pranav Ashok and
                  Mathias Jackermeier and
                  Jan K{\v{r}}et{\'{\i}}nsk{\'{y}} and
                  Christoph Weinhuber and
                  Maximilian Weininger and
                  Mayank Yadav},
  title        = {{dtControl} 2.0: Explainable Strategy Representation via Decision Tree
                  Learning Steered by Experts},
  booktitle    = {{TACAS}},
  @series       = {{LNCS}},
  @volume       = {12652},
  @pages        = {326--345},
  @publisher    = {Springer},
  year         = {2021}
}

@phdthesis{DBLP:phd/dnb/Junges20,
  author       = {Sebastian Junges},
  title        = {Parameter synthesis in Markov models},
  school       = {{RWTH} Aachen University, Germany},
  year         = {2020}
}

@inproceedings{DBLP:conf/ijcai/VosV23,
  author       = {Dani{\"{e}}l Vos and
                  Sicco Verwer},
  title        = {Optimal Decision Tree Policies for {M}arkov Decision Processes},
  booktitle    = {{IJCAI}},
  pages        = {5457--5465},
  @@publisher    = {ijcai.org},
  year         = {2023}
}

@inproceedings{DBLP:conf/aips/ChatterjeeCK0R20,
  author    = {Krishnendu Chatterjee and
               Martin Chmel{\'{\i}}k and
               Deep Karkhanis and
               Petr Novotn{\'{y}} and
               Am{\'{e}}lie Royer},
  title     = {Multiple-Environment {Markov} Decision Processes: Efficient Analysis
               and Applications},
  booktitle = {{ICAPS}},
  pages     = {48--56},
  publisher = {{AAAI} Press},
  year      = {2020}
}

@inproceedings{DBLP:conf/concur/WinklerJPK19,
  author    = {Tobias Winkler and
               Sebastian Junges and
               Guillermo A. P{\'{e}}rez and
               Joost{-}Pieter Katoen},
  title     = {On the Complexity of Reachability in Parametric {M}arkov Decision Processes},
  booktitle = {{CONCUR}},
  @@series    = {LIPIcs},
  volume    = {140},
  pages     = {14:1--14:17},
  publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
  year      = {2019}
}

@inproceedings{arming2018parameter,
  author    = {Sebastian Arming and
               Ezio Bartocci and
               Krishnendu Chatterjee and
               Joost{-}Pieter Katoen and
               Ana Sokolova},
  title     = {Parameter-Independent Strategies for p{MDP}s via {POMDPs}},
  booktitle = {{QEST}},
  series    = {{LNCS}},
  volume    = {11024},
  pages     = {53--70},
  publisher = {Springer},
  year      = {2018}
}

@phdthesis{thesis,
 author = {Sebastian Junges},
 title = {Parameter Synthesis in {M}arkov Models},
 school = {{RWTH} Aachen University, Germany},
 year = {2020},
 note = {to appear}
 }

@article{cegis-journal,
author = {\v{C}e\v{s}ka, Milan and Hensel, Christian and Junges, Sebastian and Katoen, Joost-Pieter},
title = {Counterexample-Guided Inductive Synthesis for Probabilistic Systems},
year = {2021},
publisher = {Springer-Verlag},
volume = {33},
number = {4–5},
journal = {Form. Asp. Comput.},
pages = {637–667}
}

@inproceedings{DBLP:conf/cav/AndriushchenkoC21,
  title={{PAYNT}: a tool for inductive synthesis of probabilistic programs},
  author={Andriushchenko, Roman and {\v{C}}e{\v{s}}ka, Milan and Junges, Sebastian and Katoen, Joost-Pieter and Stupinsk{\'y}, {\v{S}}imon},
  booktitle={CAV},
  @pages={856--869},
  @series = {LNCS},
  @volume = {12759},
  year={2021},
  @organization={Springer}
}

@inproceedings{kumar2016dual,
  title={Dual formulations for optimizing {Dec-POMDP} controllers},
  author={Kumar, Akshat and Mostafa, Hala and Zilberstein, Shlomo},
  booktitle={Proceedings of the International Conference on Automated Planning and Scheduling},
  volume={26},
  pages={202--210},
  year={2016}
}

@inproceedings{you2021solving,
  title={Solving infinite-horizon Dec-POMDPs using finite state controllers within JESP},
  author={You, Yang and Thomas, Vincent and Colas, Francis and Buffet, Olivier},
  booktitle={2021 IEEE 33rd International Conference on Tools with Artificial Intelligence (ICTAI)},
  pages={427--434},
  year={2021},
  organization={IEEE}
}

@article{winterer2020strategy,
  title={Strategy synthesis for {POMDP}s in robot planning via game-based abstractions},
  author={Winterer, Leonore and Junges, Sebastian and Wimmer, Ralf and Jansen, Nils and Topcu, Ufuk and Katoen, Joost-Pieter and Becker, Bernd},
  journal={IEEE Transactions on Automatic Control},
  volume={66},
  number={3},
  pages={1040--1054},
  year={2020},
  publisher={IEEE}
}


@inproceedings{andriushchenko2021inductive,
  title={Inductive synthesis for probabilistic programs reaches new horizons},
  author={Andriushchenko, Roman and {\v{C}}e{\v{s}}ka, Milan and Junges, Sebastian and Katoen, Joost-Pieter},
  booktitle={TACAS},
  @series = {LNCS},
  @volume = {12651},
  @pages={191--209},
  year={2021},
  @organization={Springer}
}


@article{DBLP:journals/iiset/SteimleKD21,
  author    = {Lauren N. Steimle and
               David L. Kaufman and
               Brian T. Denton},
  title     = {Multi-model {Markov} decision processes},
  journal   = {{IISE} Trans.},
  volume    = {53},
  number    = {10},
  pages     = {1124--1139},
  year      = {2021}
}


@inproceedings{DBLP:conf/fsttcs/RaskinS14,
  author    = {Jean{-}Fran{\c{c}}ois Raskin and
               Ocan Sankur},
  title     = {Multiple-Environment {Markov} Decision Processes},
  booktitle = {{FSTTCS}},
  @@series    = {LIPIcs},
  volume    = {29},
  pages     = {531--543},
  publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
  year      = {2014}
}

@inproceedings{DBLP:conf/aaai/ChadesCMNSB12,
  author    = {Iadine Chades and
               Josie Carwardine and
               Tara G. Martin and
               Samuel Nicol and
               R{\'{e}}gis Sabbadin and
               Olivier Buffet},
  title     = {{MOMDPs}: {A} Solution for Modelling Adaptive Management Problems},
  booktitle = {{AAAI}},
  publisher = {{AAAI} Press},
  year      = {2012}
}

@article{DBLP:journals/sttt/BadingsCJJKT22,
  author       = {Thom S. Badings and
                  Murat Cubuktepe and
                  Nils Jansen and
                  Sebastian Junges and
                  Joost{-}Pieter Katoen and
                  Ufuk Topcu},
  title        = {Scenario-based verification of uncertain parametric {MDP}s},
  journal      = {Int. J. Softw. Tools Technol. Transf.},
  volume       = {24},
  number       = {5},
  pages        = {803--819},
  year         = {2022}
}

@article{DBLP:journals/sttt/HahnHZ11,
  author       = {Ernst Moritz Hahn and
                  Holger Hermanns and
                  Lijun Zhang},
  title        = {Probabilistic reachability for parametric {Markov} models},
  journal      = {Int. J. Softw. Tools Technol. Transf.},
  volume       = {13},
  number       = {1},
  pages        = {3--19},
  year         = {2011}
}

@article{DBLP:journals/corr/abs-1903-07993,
  author       = {Sebastian Junges and
                  Erika {\'{A}}brah{\'{a}}m and
                  Christian Hensel and
                  Nils Jansen and
                  Joost{-}Pieter Katoen and
                  Tim Quatmann and
                  Matthias Volk},
  title        = {Parameter Synthesis for {Markov} Models},
  journal      = {CoRR},
  volume       = {abs/1903.07993},
  year         = {2019}
}

@inproceedings{DBLP:conf/nips/AzarLB13,
  author    = {Mohammad Gheshlaghi Azar and
               Alessandro Lazaric and
               Emma Brunskill},
  title     = {Sequential Transfer in Multi-armed Bandit with Finite Set of Models},
  booktitle = {{NIPS}},
  pages     = {2220--2228},
  year      = {2013}
}

@article{DBLP:journals/ior/NilimG05,
  author    = {Arnab Nilim and
               Laurent El Ghaoui},
  title     = {Robust Control of {Markov} Decision Processes with Uncertain Transition
               Matrices},
  journal   = {Oper. Res.},
  volume    = {53},
  number    = {5},
  pages     = {780--798},
  year      = {2005}
}

@article{DBLP:journals/ai/GivanLD00,
  author    = {Robert Givan and
               Sonia M. Leach and
               Thomas L. Dean},
  title     = {Bounded-parameter {Markov} decision processes},
  journal   = {Artif. Intell.},
  volume    = {122},
  number    = {1-2},
  pages     = {71--109},
  year      = {2000}
}

@article{DBLP:journals/mor/Iyengar05,
  author       = {Garud N. Iyengar},
  title        = {Robust Dynamic Programming},
  journal      = {Math. Oper. Res.},
  volume       = {30},
  number       = {2},
  pages        = {257--280},
  year         = {2005}
}

@inproceedings{DBLP:conf/cav/PuggelliLSS13,
  author       = {Alberto Puggelli and
                  Wenchao Li and
                  Alberto L. Sangiovanni{-}Vincentelli and
                  Sanjit A. Seshia},
  title        = {Polynomial-Time Verification of {PCTL} Properties of {MDP}s with Convex
                  Uncertainties},
  booktitle    = {{CAV}},
  series       = {{LNCS}},
  volume       = {8044},
  pages        = {527--542},
  publisher    = {Springer},
  year         = {2013}
}

@article{DBLP:journals/mmor/BuchholzS19,
  author    = {Peter Buchholz and
               Dimitri Scheftelowitsch},
  title     = {Computation of weighted sums of rewards for concurrent {MDP}s},
  journal   = {Math. Methods Oper. Res.},
  volume    = {89},
  number    = {1},
  pages     = {1--42},
  year      = {2019}
}

@inproceedings{DBLP:conf/tacas/Junges0DTK16,
  author       = {Sebastian Junges and
                  Nils Jansen and
                  Christian Dehnert and
                  Ufuk Topcu and
                  Joost{-}Pieter Katoen},
  title        = {Safety-Constrained Reinforcement Learning for {MDP}s},
  booktitle    = {{TACAS}},
  series       = {{LNCS}},
  volume       = {9636},
  pages        = {130--146},
  publisher    = {Springer},
  year         = {2016}
}

@article{DBLP:journals/fmsd/KonighoferABHKT17,
  author       = {Bettina K{\"{o}}nighofer and
                  Mohammed Alshiekh and
                  Roderick Bloem and
                  Laura R. Humphrey and
                  Robert K{\"{o}}nighofer and
                  Ufuk Topcu and
                  Chao Wang},
  title        = {Shield synthesis},
  journal      = {Formal Methods Syst. Des.},
  volume       = {51},
  number       = {2},
  pages        = {332--361},
  year         = {2017}
}

@article{DBLP:journals/corr/DragerFK0U15,
  author       = {Klaus Dr{\"{a}}ger and
                  Vojtech Forejt and
                  Marta Z. Kwiatkowska and
                  David Parker and
                  Mateusz Ujma},
  title        = {Permissive Controller Synthesis for Probabilistic Systems},
  journal      = {Log. Methods Comput. Sci.},
  volume       = {11},
  number       = {2},
  year         = {2015}
}

@inproceedings{borktacas24,
  author       = {Alexander Bork and
                  Debraj Chakraborty and
                  Kush Grover and
                  Jan K{\v{r}}et{\'{\i}}nsk{\'{y}} and
                  Stefanie Mohr},
  title        = {Learning Explainable and Better Performing Representations of {POMDP} Strategies},
  booktitle    = {{TACAS}},
  year         = {2024},
note = {to appear}
}

@inproceedings{dubslaff2024template,
  title={Template Decision Diagrams for Meta Control and Explainability},
  author={Dubslaff, Clemens and Kl{\"o}s, Verena and P{\"a}{\ss}ler, Juliane},
  booktitle={XAI},
  pages={219--242},
  year={2024},
  organization={Springer}
}


@inproceedings{kumar2015history,
  title={History-based controller design and optimization for partially observable {MDP}s},
  author={Kumar, Akshat and Zilberstein, Shlomo},
  booktitle={ICAPS},
  @volume={25},
  pages={156-164},
  publisher= {{AAAI} Press},
  year={2015}
}

@article{DBLP:journals/jair/Carr0T21,
  author       = {Steven Carr and
                  Nils Jansen and
                  Ufuk Topcu},
  title        = {Task-Aware Verifiable {RNN}-Based Policies for Partially Observable
                  {Markov} Decision Processes},
  journal      = {J. Artif. Intell. Res.},
  volume       = {72},
  pages        = {819--847},
  year         = {2021}
}

@article{li2011finding,
  title={Finding optimal memoryless policies of POMDPs under the expected average reward criterion},
  author={Li, Yanjie and Yin, Baoqun and Xi, Hongsheng},
  journal={European Journal of Operational Research},
  volume={211},
  number={3},
  pages={556--567},
  year={2011},
  publisher={Elsevier}
}

@inproceedings{konsta2024should,
  title={What should be observed for optimal reward in POMDPs?},
  author={Konsta, Alyzia-Maria and Lluch Lafuente, Alberto and Matheja, Christoph},
  booktitle={CAV},
  pages={373--394},
  year={2024},
  organization={Springer}
}


@inproceedings{andriushchenko2022inductive,
title={Inductive Synthesis of Finite-State Controllers for {POMDP}s},
author={Roman Andriushchenko and Milan {\v{C}}e{\v{s}}ka and Sebastian Junges and Joost-Pieter Katoen},
booktitle={{UAI}},
publisher={PMRL},
volume = {180},
pages = {85-95},
year={2022}
}

@InProceedings{cegis,
author="{\v{C}}e{\v{s}}ka, Milan
and Hensel, Christian
and Junges, Sebastian
and Katoen, Joost-Pieter",
title="Counterexample-Driven Synthesis for Probabilistic Program Sketches",
booktitle = {{FM}},
  series    = {LNCS},
  volume    = {11800},
  pages     = {101--120},
  publisher = {Springer},
  year      = {2019}
}

@InProceedings{cegar,
author="{\v{C}}e{\v{s}}ka, Milan
and Jansen, Nils
and Junges, Sebastian
and Katoen, Joost-Pieter",
title="Shepherding Hordes of {M}arkov Chains",
booktitle = {TACAS} ,
  series    = {LNCS},
  volume    = {11428},
  pages     = {172--190},
  publisher = {Springer},
  year      = {2019}
}

@inproceedings{Koops2023recursive,
  author = {Koops, Wietze and Jansen, Nils and Junges, Sebastian and Sim{\~a}o, Thiago D.},
  title = {Recursive Small-Step Multi-Agent A* for Dec-POMDPs},
  booktitle = {IJCAI},
  year = {2023},
  pages = {5402--5410}
}

%-------------------------------------------------------------------------------

% theory

@article {SilEtAl:18:alphazero-science,
	author = {Silver, David and Hubert, Thomas and Schrittwieser, Julian and Antonoglou, Ioannis and Lai, Matthew and Guez, Arthur and Lanctot, Marc and Sifre, Laurent and Kumaran, Dharshan and Graepel, Thore and Lillicrap, Timothy and Simonyan, Karen and Hassabis, Demis},
	title = {A General Reinforcement Learning Algorithm that Masters Chess, Shogi, and {G}o through Self-Play},
	volume = {362},
	number = {6419},
	pages = {1140--1144},
	year = {2018},
	doi = {10.1126/science.aar6404},
	journal = {Science}
}


@article{SchEtAl:2020:muzero,
  title={Mastering Atari, Go, Chess and Shogi by planning with a Learned Model},
  author={Schrittwieser, Julian and Antonoglou, Ioannis and Hubert, Thomas and Simonyan, Karen and Sifre, Laurent and Schmitt, Simon and Guez, Arthur and Lockhart, Edward and Hassabis, Demis and Graepel, Thore and Lillicrap, Timothy and Silver, David},
  journal={Nature},
  volume={588},
  number={7839},
  pages={604--609},
  year={2020},
  publisher={Nature Publishing Group}
}

@inproceedings{KS06,
	author = {Kocsis, Levente and Szepesv{\'a}ri, Csaba},
	booktitle = {ECML},
	@pages = {282--293},
	@@publisher = {Springer},
	@series = {LNCS},
	title = {Bandit Based Monte-Carlo Planning},
	year = {2006}
}

@book{SuttonB:rlbook,
  title={Reinforcement Learning: An Introduction},
  author={Sutton, Richard S and Barto, Andrew G},
  year={2018},
  publisher={MIT Press}
}

@article{givan2003equivalence,
  title={Equivalence notions and model minimization in Markov decision processes},
  author={Givan, Robert and Dean, Thomas and Greig, Matthew},
  journal={Artificial Intelligence},
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  number={1-2},
  @pages={163--223},
  year={2003},
  @publisher={Elsevier}
}

@inproceedings{koller2000policy,
  title={Policy iteration for factored MDPs},
  author={Koller, Daphne and Parr, Ronald},
  booktitle={UAI},
  @pages={326--334},
  year={2000}
}

@inproceedings{gerasimou2021evolutionary,
  title={Evolutionary-guided synthesis of verified pareto-optimal MDP policies},
  author={Gerasimou, Simos and C{\'a}mara, Javier and Calinescu, Radu and Alasmari, Naif and Alhwikem, Faisal and Fang, Xinwei},
  booktitle={{ASE}},
  @pages={842--853},
  year={2021},
  @organization={IEEE}
}

@article{abate2021adaptive,
  title={Adaptive formal approximations of Markov chains},
  author={Abate, Alessandro and Andriushchenko, Roman and {\v{C}}e{\v{s}}ka, Milan and Kwiatkowska, Marta},
  journal={Performance Evaluation},
  volume={148},
  @pages={102207},
  year={2021},
  @publisher={Elsevier}
}

@inproceedings{soh2011evolving,
  title={Evolving policies for multi-reward partially observable Markov decision processes ({MR-POMDPs})},
  author={Soh, Harold and Demiris, Yiannis},
  booktitle={GECCO},
  @pages={713--720},
  year={2011}
}

@inproceedings{pineau2003point,
  title={Point-based value iteration: An anytime algorithm for POMDPs},
  author={Pineau, Joelle and Gordon, Geoff and Thrun, Sebastian and others},
  booktitle={IJCAI},
  @volume={3},
  @pages={1025--1032},
  year={2003},
  @organization={Citeseer}
}

@inproceedings{vcevska2016prism,
  title={PRISM-PSY: precise GPU-accelerated parameter synthesis for stochastic systems},
  author={{\v{C}}e{\v{s}}ka, Milan and Pila{\v{r}}, Petr and Paoletti, Nicola and Brim, Lubo{\v{s}} and Kwiatkowska, Marta},
  booktitle={TACAS},
  @pages={367--384},
  year={2016},
  @organization={Springer}
}

@inproceedings{castro2009equivalence,
  title={Equivalence relations in fully and partially observable Markov decision processes},
  author={Castro, Pablo Samuel and others},
  booktitle={IJCAI},
  @pages={1653--1658},
  year={2009}
}

@article{bernstein2002complexity,
  title={The complexity of decentralized control of Markov decision processes},
  author={Bernstein, Daniel S and Givan, Robert and Immerman, Neil and Zilberstein, Shlomo},
  journal={Mathematics of operations research},
  volume={27},
  number={4},
  @pages={819--840},
  year={2002},
  @publisher={INFORMS}
}
@article{shapley1953stochastic,
  title={Stochastic games},
  author={Shapley, Lloyd S},
  journal={Proceedings of the national academy of sciences},
  volume={39},
  number={10},
  @pages={1095--1100},
  year={1953},
  @publisher={National Acad Sciences}
}


@inproceedings{brechtel2014probabilistic,
  title={Probabilistic decision-making under uncertainty for autonomous driving using continuous {POMDP}s},
  author={Brechtel, Sebastian and Gindele, Tobias and Dillmann, R{\"u}diger},
  booktitle={ITSC},
  @pages={392--399},
  year={2014},
  @organization={IEEE}
}

@article{pajarinen2017robotic,
  title={Robotic manipulation of multiple objects as a {POMDP}},
  author={Pajarinen, Joni and Kyrki, Ville},
  journal={Artif. Intell.},
  volume={247},
  @pages={213--228},
  year={2017},
  @publisher={Elsevier}
}

@book{dixit2012investment,
  title={Investment under uncertainty},
  author={Dixit, Robert K and Pindyck, Robert S},
  year={2012},
  publisher={Princeton university press}
}

@inproceedings{balasubramanian2007dtn,
  title={DTN routing as a resource allocation problem},
  author={Balasubramanian, Aruna and others},
  booktitle={SIGCOMM},
  @pages={373--384},
  year={2007}
}

@Article{ChatterjeeCGK16,
	author  = {Krishnendu Chatterjee and Martin Chmel{\'\i}k and Raghav Gupta and Ayush Kanodia},
	title   = {Optimal cost almost-sure reachability in {POMDPs}},
	journal = {Artif. Intell.},
	year    = {2016},
	volume  = {234},
	pages   = {26--48},
}

@inproceedings{delgrange2020simple,
  title={Simple strategies in multi-objective MDPs},
  author={Delgrange, Florent and Katoen, Joost-Pieter and Quatmann, Tim and Randour, Mickael},
  booktitle={TACAS},
  pages={346--364},
  year={2020},
  organization={Springer}
}

@article{drager2015permissive,
  title={Permissive controller synthesis for probabilistic systems},
  author={Drager, Klaus and Forejt, Vojtech and Kwiatkowska, Marta and Parker, David and Ujma, Mateusz},
  journal={Logical Methods in Computer Science},
  volume={11},
  year={2015},
  publisher={Episciences. org}
}

@inproceedings{DBLP:conf/tacas/FunkeJB20,
  author    = {Florian Funke and
               Simon Jantsch and
               Christel Baier},
  title     = {Farkas Certificates and Minimal Witnesses for Probabilistic Reachability
               Constraints},
  booktitle = {{TACAS} {(1)}},
  series    = {LNCS},
  volume    = {12078},
  pages     = {324--345},
  publisher = {Springer},
  year      = {2020}
}

@inproceedings{DBLP:conf/sfm/AbrahamBDJKW14,
  author    = {Erika {\'{A}}brah{\'{a}}m and
               Bernd Becker and
               Christian Dehnert and
               Nils Jansen and
               Joost-Pieter Katoen and
               Ralf Wimmer},
  title     = {Counterexample Generation for Discrete-Time {M}arkov Models: An Introductory
               Survey},
  booktitle = {{SFM}},
  series    = {LNCS},
  volume    = {8483},
  pages     = {65--121},
  publisher = {Springer},
  year      = {2014}
}

@inproceedings{uav,
author = {Feng, Lu and Wiltsche, Clemens and Humphrey, Laura and Topcu, Ufuk},
title = {Controller synthesis for autonomous systems interacting with human operators},
year = {2015},
@isbn = {9781450334556},
publisher = {Association for Computing Machinery},
@address = {New York, NY, USA},
@url = {https://doi.org/10.1145/2735960.2735973},
@doi = {10.1145/2735960.2735973},
booktitle = {ICCPS},
pages = {70–79},
@numpages = {10},
@location = {Seattle, Washington},
@series = {ICCPS '15}
}


@inproceedings{rover,
  author       = {John L. Bresina and
                  Ari K. J{\'{o}}nsson and
                  Paul H. Morris and
                  Kanna Rajan},
  @editor       = {Susanne Biundo and
                  Karen L. Myers and
                  Kanna Rajan},
  title        = {Activity Planning for the Mars Exploration Rovers},
  booktitle    = {ICAPS},
  pages        = {40--49},
  publisher    = {{AAAI}},
  year         = {2005},
  @url          = {http://www.aaai.org/Library/ICAPS/2005/icaps05-005.php},
  @timestamp    = {Fri, 05 Feb 2021 17:14:58 +0100},
  @biburl       = {https://dblp.org/rec/conf/aips/BresinaJMR05.bib},
  @bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@inproceedings{grids,
  author       = {Sebastian Junges and
                  Nils Jansen and
                  Sanjit A. Seshia},
  @editor       = {Alexandra Silva and
                  K. Rustan M. Leino},
  title        = {Enforcing Almost-Sure Reachability in POMDPs},
  booktitle    = {CAV},
  series       = {LNCS},
  volume       = {12760},
  pages        = {602--625},
  publisher    = {Springer},
  year         = {2021},
  @url          = {https://doi.org/10.1007/978-3-030-81688-9\_28},
  @doi          = {10.1007/978-3-030-81688-9\_28},
  @timestamp    = {Thu, 29 Jul 2021 13:41:58 +0200},
  @biburl       = {https://dblp.org/rec/conf/cav/JungesJS20.bib},
  @bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{batz2024programmatic,
  title={Programmatic strategy synthesis: Resolving nondeterminism in probabilistic programs},
  author={Batz, Kevin and Biskup, Tom Jannik and Katoen, Joost-Pieter and Winkler, Tobias},
  journal={Proceedings of the ACM on Programming Languages},
  volume={8},
  number={POPL},
  @pages={2792--2820},
  year={2024},
  @publisher={ACM New York, NY, USA}
}

@article{kohler2024interpretable,
  title={Interpretable and Editable Programmatic Tree Policies for Reinforcement Learning},
  author={Kohler, Hector and Delfosse, Quentin and Akrour, Riad and Kersting, Kristian and Preux, Philippe},
  journal={Preprint arXiv:2405.14956},
  year={2024}
}

@inproceedings{DBLP:conf/icml/VermaMSKC18,
  author    = {Abhinav Verma and
               Vijayaraghavan Murali and
               Rishabh Singh and
               Pushmeet Kohli and
               Swarat Chaudhuri},
  title     = {Programmatically Interpretable Reinforcement Learning},
  booktitle = {{ICML}},
  @volume    = {80},
  @pages     = {5052--5061},
  @publisher = {{PMLR}},
  year      = {2018}
}


@inproceedings{narodytska2018learning,
  title={Learning optimal decision trees with {SAT}},
  author={Narodytska, Nina and Ignatiev, Alexey and Pereira, Filipe and Marques-Silva, Joao},
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  pages={1362--1368},
  year={2018},
  organization={AAAI Press}
}

@book{DBLP:series/sbis/OliehoekA16,
  author    = {Frans A. Oliehoek and
               Christopher Amato},
  title     = {A Concise Introduction to Decentralized POMDPs},
  series    = {Springer Briefs in Intelligent Systems},
  publisher = {Springer},
  year      = {2016}
}

@inproceedings{DBLP:conf/aaai/MadaniHC99,
  author    = {Omid Madani and
               Steve Hanks and
               Anne Condon},
  title     = {On the Undecidability of Probabilistic Planning and Infinite-Horizon
               Partially Observable {M}arkov Decision Problems},
  booktitle = {{AAAI/IAAI}},
  pages     = {541--548},
  publisher = {{AAAI} Press / The {MIT} Press},
  year      = {1999}
}

@book{Put94,
  author    = {Martin L. Puterman},
  title     = {Markov Decision Processes: Discrete Stochastic Dynamic Programming},
  series    = {Wiley Series in Probability and Statistics},
  @publisher = {Wiley},
  year      = {1994}
}


@Incollection{Baier2018,
author="Baier, Christel
and de Alfaro, Luca
and Forejt, Vojt{\v{e}}ch
and Kwiatkowska, Marta",
title="Model Checking Probabilistic Systems",
booktitle="Handbook of Model Checking",
year="2018",
@publisher="Springer",
@pages="963--999",
@isbn="978-3-319-10575-8",
}

@article{DBLP:journals/iandc/Chatzieleftheriou18,
  author    = {George Chatzieleftheriou and
               Panagiotis Katsaros},
  title     = {Abstract model repair for probabilistic systems},
  journal   = {Inf. Comput.},
  volume    = {259},
  number    = {1},
  pages     = {142--160},
  year      = {2018}
}

@article{DBLP:journals/iandc/BaierHHJKK20,
  author    = {Christel Baier and
               Christian Hensel and
               Lisa Hutschenreiter and
               Sebastian Junges and
               Joost{-}Pieter Katoen and
               Joachim Klein},
  title     = {Parametric Markov chains: {PCTL} complexity and fraction-free Gaussian
               elimination},
  journal   = {Inf. Comput.},
  volume    = {272},
  pages     = {104504},
  year      = {2020}
}

@article{
doi:10.1073/pnas.39.10.1095,
author = {L. S. Shapley },
title = {Stochastic Games*},
journal = {Proc. Natl. Acad. Sci. U.S.A.},
volume = {39},
number = {10},
pages = {1095-1100},
year = {1953}
}


@Article{SK16,
author={M. Svorenova and M. Kwiatkowska},
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year={2016},
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number={},
pages={15--30},
publisher={Elsevier}
}


@inproceedings{dtmc-mc,
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@article{ce-bfs,
  author={H. {Aljazzar} and S. {Leue}},
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  year={2010},
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  pages={37-60},
}

@inproceedings{ce-xbfs,
  author="Aljazzar, Husain
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  year="2011",
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  address="Berlin, Heidelberg",
  pages="183--187",
  isbn="978-3-642-22306-8"
}

@inbook{mdp-mc,
  author="Forejt, Vojt{\v{e}}ch
  and Kwiatkowska, Marta
  and Norman, Gethin
  and Parker, David",
  title="Automated Verification Techniques for Probabilistic Systems",
  bookTitle="Formal Methods for Eternal Networked Software Systems: 11th International School on Formal Methods for the Design of Computer, Communication and Software Systems, SFM 2011, Bertinoro, Italy, June 13-18, 2011. Advanced Lectures",
  year="2011",
  publisher="Springer Berlin Heidelberg",
  address="Berlin, Heidelberg",
  pages="53--113",
  isbn="978-3-642-21455-4",
}

@InProceedings{ce-rewards,
author="Quatmann, Tim
and Jansen, Nils
and Dehnert, Christian
and Wimmer, Ralf
and {\'A}brah{\'a}m, Erika
and Katoen, Joost-Pieter
and Becker, Bernd",
title="Counterexamples for Expected Rewards",
booktitle="FM",
year="2015",
publisher="Springer",
pages="435--452",
isbn="978-3-319-19249-9"
}



%-------------------------------------------------------------------------------

@InProceedings{10.1145/1806799.1806833, 
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@inproceedings{Solar-LezamaPLDI2005,
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@incollection{sygus,
  author    = {Rajeev Alur and
               Rastislav Bod{\'{\i}}k and
               Eric Dallal and
               Dana Fisman and
               Pranav Garg and
               Garvit Juniwal and
               Hadas Kress{-}Gazit and
               P. Madhusudan and
               Milo M. K. Martin and
               Mukund Raghothaman and
               Shambwaditya Saha and
               Sanjit A. Seshia and
               Rishabh Singh and
               Armando Solar{-}Lezama and
               Emina Torlak and
               Abhishek Udupa},
  title     = {Syntax-Guided Synthesis},
  booktitle = {Dependable Software Systems Engineering},
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  year      = {2015}
}

@article{lanna2018feature,
  title={Feature-family-based reliability analysis of software product lines},
  author={Lanna, Andr{\'e} and Castro, Thiago and Alves, Vander and Rodrigues, Genaina and Schobbens, Pierre-Yves and Apel, Sven},
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  year={2018},
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@inproceedings{DBLP:conf/fm/VandinBLL18,
  author    = {Andrea Vandin and
               Maurice H. ter Beek and
               Axel Legay and
               Alberto Lluch{-}Lafuente},
  title     = {QFLan: {A} Tool for the Quantitative Analysis of Highly Reconfigurable
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  booktitle = {{FM}},
  series    = {LNCS},
  volume    = {10951},
  pages     = {329--337},
  publisher = {Springer},
  year      = {2018}
}


@InProceedings{Martens:2010:AIS:1712605.1712624,
  author =        {Martens, Anne and Koziolek, Heiko and Becker, Steffen and Reussner, Ralf},
  title =         {Automatically Improve Software Architecture Models for Performance, Reliability, and Cost Using Evolutionary Algorithms},
  booktitle =     {WOSP/SIPEW},
  year =          {2010},
  publisher = {ACM},
  pages =         {105--116}
}

@article{DBLP:journals/ase/GerasimouCT18,
  author    = {Simos Gerasimou and
               Radu Calinescu and
               Giordano Tamburrelli},
  title     = {Synthesis of probabilistic models for quality-of-service software
               engineering},
  journal   = {Autom. Softw. Eng.},
  volume    = {25},
  number    = {4},
  pages     = {785--831},
  year      = {2018}
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@article{CALINESCU2018140,
title = "Efficient synthesis of robust models for stochastic systems",
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year = "2018",
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}

@Article{Harman2012,
  author =        {Harman, Mark and Mansouri, S. Afshin and Zhang, Yuanyuan},
  title =         {Search-based Software Engineering: Trends, Techniques and Applications},
  journal =       {ACM Comp. Surveys},
  year =          {2012},
  volume =        {45},
  number =        {1},
  pages =         {11:1--11:61},
  __markedentry = {[sgerasimou:2]},
  acmid =         {2379787},
  address =       {New York, NY, USA},
  articleno =     {11},
  issue_date =    {November 2012},
  keywords =      {Software engineering, search-based techniques, survey},
  numpages =      {61},
  publisher =     {ACM}
}

@inproceedings{NoriPLDI2015,
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@article{saad2019bayesian,
  title={Bayesian synthesis of probabilistic programs for automatic data modeling},
  author={Saad, Feras A and Cusumano-Towner, Marco F and Schaechtle, Ulrich and Rinard, Martin C and Mansinghka, Vikash K},
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@phdthesis{sketch-1,
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  isbn = {9781109097450},
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@inproceedings{sketch-2,
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@article{spl3,
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@inproceedings{DBLP:conf/nfm/0001HTT19,
  author       = {Nils Jansen and
                  Laura R. Humphrey and
                  Jana Tumova and
                  Ufuk Topcu},
  title        = {Structured Synthesis for Probabilistic Systems},
  booktitle    = {{NFM}},
  series       = {{LNCS}},
  volume       = {11460},
  pages        = {237--254},
  publisher    = {Springer},
  year         = {2019}
}

@article{onebyone,
  title={Model checking software product lines with {SNIP}},
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@article{ssa1,
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@article{ssa2,
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@inproceedings{fau1, 
    author={F. Didier and T. A. Henzinger and M. Mateescu and V. Wolf}, 
    booktitle={2009 International Workshop on High Performance Computational Systems Biology}, 
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    year={2009}, 
    pages={118-127}, 
    month={Oct},
}
%-------------------------------------------------------------------------------

@inproceedings{spl2,
  author={S. {Gerasimou} and G. {Tamburrelli} and R. {Calinescu}},
  booktitle={2015 30th IEEE/ACM International Conference on Automated Software Engineering (ASE)},
  title={Search-Based Synthesis of Probabilistic Models for Quality-of-Service Software Engineering (T)},
  year={2015},
  volume={},
  number={},
  pages={319-330},
  keywords={genetic algorithms;probability;program testing;program verification;quality of service;search-based synthesis;probabilistic models;quality-of-service software engineering;formal verification;finite-state probabilistic models;quality-of-service requirements;software design;suboptimal models;EvoChecker search-based software engineering approach;multiobjective optimisation genetic algorithms;dynamic power management;foreign exchange trading;design parameters;QoS requirements;design space;Probabilistic logic;Quality of service;Software systems;Markov processes;Optimization;Software engineering;Probabilistic Model Checking;Model Synthesis;Genetic Algorithms;Search-Based Software Engineering;Model Repair},
  ISSN={null},
  month={Nov},
}


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title={{PRISM}-games 3.0: Stochastic Game Verification with Concurrency, Equilibria and Time},
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year={2020},

editors={},
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@article{dpm-2,
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@inproceedings{DBLP:conf/aaai/AmatoBZ10,
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@Article{herman-2,
author={M. Kwiatkowska and G. Norman and D. Parker},
title={Probabilistic Verification of {H}erman’s Self-Stabilisation Algorithm},
journal={Formal Aspects of Computing},
year={2012},

volume={24},
number={4},
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month={},
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@InProceedings{10.1007/978-3-030-30806-3_7,
author="Chonev, Ventsislav",
title="Reachability in Augmented Interval {M}arkov Chains",
booktitle="RP'2019",
year="2019",
publisher="Springer",
pages="79--92",
  series    = {LNCS},
  volume    = {11674}


}

@article{DBLP:journals/fac/ChrszonDKB18,
  author    = {Philipp Chrszon and
               Clemens Dubslaff and
               Sascha Kl{\"{u}}ppelholz and
               Christel Baier},
  title     = {{ProFeat}: feature-oriented engineering for family-based probabilistic
               model checking},
  journal   = {Formal Asp. Comput.},
  volume    = {30},
  number    = {1},
  pages     = {45--75},
  year      = {2018}
}

@InProceedings{Quatmann2016,
  author    = {Tim Quatmann and
               Christian Dehnert and
               Nils Jansen and
               Sebastian Junges and
               Joost-Pieter Katoen},
  title     = {Parameter Synthesis for {M}arkov Models: Faster Than Ever},
  booktitle = {{ATVA'16}},
  series    = {LNCS},
  volume    = {9938},
  pages     = {50--67},
  year      = {2016}
}

@inproceedings{silva2020optimization,
  title={Optimization methods for interpretable differentiable decision trees applied to reinforcement learning},
  author={Silva, Andrew and Gombolay, Matthew and Killian, Taylor and Jimenez, Ivan and Son, Sung-Hyun},
  booktitle={(AISTATS},
  pages={1855--1865},
  year={2020},
  organization={PMLR}
}

@article{likmeta2020combining,
  title={Combining reinforcement learning with rule-based controllers for transparent and general decision-making in autonomous driving},
  author={Likmeta, Amarildo and Metelli, Alberto Maria and Tirinzoni, Andrea and Giol, Riccardo and Restelli, Marcello and Romano, Danilo},
  journal={Robotics and Autonomous Systems},
  volume={131},
  pages={103568},
  year={2020},
  publisher={Elsevier}
}

@inproceedings{gupta2015policy,
  title={Policy tree: Adaptive representation for policy gradient},
  author={Gupta, Ujjwal Das and Talvitie, Erik and Bowling, Michael},
  booktitle={AAAI},
  volume={29},
  number={1},
  year={2015}
}

@inproceedings{model-repair-1,
  title={Model Repair for Probabilistic Systems},
  author={Ezio Bartocci and Radu Grosu and Panagiotis Katsaros and C. R. Ramakrishnan and Scott A. Smolka},
  booktitle={{TACAS'11}},
  pages="326--340",
  year={2011},
    series    = {LNCS},
  volume    = {6605}
}



@article{gillespie1977exact,
  author={Gillespie, Daniel T},
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@incollection{abate2015adaptive,
  author={Abate, Alessandro and Brim, Lubo{\v{s}} and {\v{C}}e{\v{s}}ka, Milan and Kwiatkowska, Marta},
  title={Adaptive aggregation of {M}arkov chains: Quantitative analysis of chemical reaction networks},
  booktitle={Computer Aided Verification (CAV)},
  pages={195--213},
  year={2015},
  publisher={Springer},
}


@article{rabin1982n,
  title={n-process mutual exclusion with bounded waiting by 4{\textperiodcentered} log2 N-valued shared variable},
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@inproceedings{brazdil2015counterexample,
  title={Counterexample explanation by learning small strategies in {M}arkov decision processes},
  author={Br{\'a}zdil, Tom{\'a}{\v{s}} and Chatterjee, Krishnendu and Chmel{\'\i}k, Martin and Fellner, Andreas and K{\v{r}}et{\'\i}nsk{\`y}, Jan},
  booktitle={CAV},
  pages={158--177},
  year={2015},
  organization={Springer}
}

@article{ceska2014robustness,
  author={{\v{C}}e{\v{s}}ka, Milan and \v{S}afr{\'{a}}nek, David and Dra{\v{z}}an, Sven and Brim, Lubo{\v{s}}},
  journal={PLOS ONE},
  publisher={Public Library of Science},
  title={Robustness Analysis of Stochastic Biochemical Systems},
  year={2014},
  month={04},
  volume={9},
  pages={1-23},
  number={4},
}

@book{biere2009handbook,
  title={Handbook of satisfiability},
  author={Biere, Armin and Heule, Marijn and van Maaren, Hans},
  volume={185},
  year={2009},
  publisher={IOS press}
}

@article{kierzek2001,
  author={Kierzek, A. M.  and Zaim, J.  and Zielenkiewicz, P. },
  title={The Effect of Transcription and Translation Initiation Frequencies on the Stochastic Fluctuations in Prokaryotic Gene Expression},
  journal={The Journal of Biological Chemistry},
  year={2001},
  volume={276},
  number={11},
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}

@inproceedings{haverkoft2000,
  author={B. Haverkort and H. Hermanns and J.-P. Katoen},
  title={On the Use of Model Checking Techniques for Dependability Evaluation},
  booktitle={ Reliable Distributed Systems},
  year={2000},
  pages={228--237},
  publisher={IEEE}
}

@Article{acta,
author="{\v{C}}e{\v{s}}ka, Milan
and Dannenberg, Frits
and Paoletti, Nicola
and Kwiatkowska, Marta
and Brim, Lubo{\v{s}}",
title="Precise parameter synthesis for stochastic biochemical systems",
journal="Acta Inf.",
year="2017",
volume="54",
number="6",
pages="589--623"
}

@article{STORM,
  author       = {Christian Hensel and
                  Sebastian Junges and
                  Joost{-}Pieter Katoen and
                  Tim Quatmann and
                  Matthias Volk},
  title        = {The probabilistic model checker {Storm}},
  journal      = {Int. J. Softw. Tools Technol. Transf.},
  @volume       = {24},
  @number       = {4},
  @pages        = {589--610},
  year         = {2022}
}

@inproceedings{budde2020correctness,
  title={On correctness, precision, and performance in quantitative verification: {QComp} 2020 competition report},
  author={Budde, Carlos E and Hartmanns, Arnd and Klauck, Michaela and K{\v{r}}et{\'\i}nsk{\'y}, Jan and Parker, David and Quatmann, Tim and Turrini, Andrea and Zhang, Zhen},
  booktitle={ISoLA},
  @pages={216--241},
  year={2020},
  @organization={Springer}
}


@article{lindemann98petrinets,
  author = {Lindemann, Christoph},
  title = {Performance Modelling with Deterministic and Stochastic {P}etri Nets},
  year = {1998},
  issue_date = {August 1998},
  publisher = {Association for Computing Machinery},
  address = {New York, NY, USA},
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  number = {2},
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  journal = {SIGMETRICS Perform. Eval. Rev.},
  pages = {3}
}

@InProceedings{z3,
author="de Moura, Leonardo
and Bj{\o}rner, Nikolaj",
@editor="Ramakrishnan, C. R.
and Rehof, Jakob",
title="Z3: An Efficient {SMT} Solver",
booktitle="TACAS",
year="2008",
publisher="Springer",
@address="Berlin, Heidelberg",
pages="337-340",
isbn="978-3-540-78800-3"
}

@inproceedings{pathak-et-al-nfm-2015,
  author    = {Shashank Pathak and
               Erika {\'{A}}brah{\'{a}}m and
               Nils Jansen and
               Armando Tacchella and
               Joost-Pieter Katoen},
  title     = {A Greedy Approach for the Efficient Repair of Stochastic Models},
  booktitle = {{NFM'15}},
  series    = {LNCS},
  volume    = {9058},
  pages     = {295--309},
  publisher = {Springer},
  year      = {2015}
}

@inproceedings{dehnert2015prophesy,
  title={{PROPhESY: A PRObabilistic ParamEter SYNnthesis Tool}},
  author={Dehnert, Christian and Junges, Sebastian and Jansen, Nils and Corzilius, Florian and Volk, Matthias and Bruintjes, Harold and Katoen, Joost-Pieter and {\'A}brah{\'a}m, Erika},
  booktitle={CAV'15},
  series = {LNCS},
  volume = {9206},
  pages={214--231},
  year={2015},
  publisher={Springer}
}
 
 @article{hahn2011probabilistic,
  title={Probabilistic reachability for parametric {M}arkov models},
  author={Hahn, Ernst Moritz and Hermanns, Holger and Zhang, Lijun},
  journal={Int.\ J.\ on Softw.\ Tools for Technol. Transf.},
  volume={13},
  number={1},
  pages={3--19},
  year={2011},
  publisher={Springer}
}
  
@inproceedings{KNP11,
  title={{PRISM} 4.0: Verification of probabilistic real-time systems},
  author={Kwiatkowska, Marta and Norman, Gethin and Parker, David},
  booktitle={CAV},
  pages={585--591},
  year={2011},
  organization={Springer},
   series    = {LNCS},
  volume    = {6806}
}

@article{DBLP:journals/corr/abs-1305-5055,
 author    = {Ralf Wimmer and
               Nils Jansen and
               Andreas Vorpahl and
               Erika {\'{A}}brah{\'{a}}m and
               Joost-Pieter Katoen and
               Bernd Becker},
  title     = {High-level Counterexamples for Probabilistic Automata},
  journal   = {Logical Methods in Computer Science},
  volume    = {11},
  number    = {1},
  year      = {2015}

}

@inproceedings{DBLP:conf/ictac/Daws04,
  author    = {Conrado Daws},
  title     = {Symbolic and Parametric Model Checking of Discrete-Time {M}arkov Chains},
  booktitle = {{ICTAC}},
  series    = {LNCS},
  volume    = {3407},
  pages     = {280--294},
  publisher = {Springer},
  year      = {2004}
}

@inproceedings{DBLP:conf/atva/DehnertJWAK14,
  author    = {Christian Dehnert and
               Nils Jansen and
               Ralf Wimmer and
               Erika {\'{A}}brah{\'{a}}m and
               Joost-Pieter Katoen},
  title     = {Fast Debugging of {PRISM} Models},
  booktitle = {{ATVA}},
  series    = {LNCS},
  volume    = {8837},
  pages     = {146--162},
  publisher = {Springer},
  year      = {2014}
}

@article{DBLP:journals/sttt/Solar-Lezama13,
  author    = {Armando Solar{-}Lezama},
  title     = {Program sketching},
  journal   = {{STTT}},
  volume    = {15},
  number    = {5-6},
  pages     = {475--495},
  year      = {2013}
}


@article{pioa,
  author    = {Ralf Wimmer and
               Nils Jansen and
               Andreas Vorpahl and
               Erika {\'{A}}brah{\'{a}}m and
               Joost{-}Pieter Katoen and
               Bernd Becker},
  title     = {High-level Counterexamples for Probabilistic Automata},
  journal   = {Logical Methods in Computer Science},
  volume    = {11},
  number    = {1},
  year      = {2015},
  timestamp = {Tue, 14 May 2019 16:31:18 +0200},
  biburl    = {https://dblp.org/rec/journals/corr/abs-1305-5055.bib},
  bibsource = {dblp computer science bibliography, https://dblp.org}
}

@inproceedings{jani,
  author = {Bornholt, James and Torlak, Emina and Grossman, Dan and Ceze, Luis},
  title = {Optimizing Synthesis with Metasketches},
  year = {2016},
  isbn = {9781450335492},
  publisher = {Association for Computing Machinery},
  booktitle = {POPL'16},
  pages = {775–788},
  numpages = {14},
  keywords = {Program synthesis},
  location = {St. Petersburg, FL, USA}
}

@article{modest,
  author = {Biere, Armin and Heule, Marijn and Maaren, H. and Walsh, Toby},
  year = {2009},
  month = {01},
  pages = {},
  title = {Handbook of Satisfiability: Volume 185 Frontiers in Artificial Intelligence and Applications},
  isbn = {1586039296, 9781586039295}
}

@inproceedings{scaling-dec-pomdps-2012,
author = {Dibangoye, Jilles S. and Amato, Christopher and Doniec, Arnaud},
title = {Scaling up Decentralized MDPs through Heuristic Search},
year = {2012},
isbn = {9780974903989},
publisher = {AUAI Press},
address = {Arlington, Virginia, USA},
abstract = {Decentralized partially observable Markov decision processes (Dec-POMDPs) are rich models for cooperative decision-making under uncertainty, but are often intractable to solve optimally (NEXP-complete). The transition and observation independent Dec-MDP is a general subclass that has been shown to have complexity in NP, but optimal algorithms for this subclass are still inefficient in practice. In this paper, we first provide an updated proof that an optimal policy does not depend on the histories of the agents, but only the local observations. We then present a new algorithm based on heuristic search that is able to expand search nodes by using constraint optimization. We show experimental results comparing our approach with the state-of-the-art Dec-MDP and Dec-POMDP solvers. These results show a reduction in computation time and an increase in scalability by multiple orders of magnitude in a number of benchmarks.},
booktitle = {Proceedings of the Twenty-Eighth Conference on Uncertainty in Artificial Intelligence},
pages = {217–226},
numpages = {10},
location = {Catalina Island, CA},
series = {UAI'12}
}



@article{bastani2018verifiable,
  title={Verifiable reinforcement learning via policy extraction},
  author={Bastani, Osbert and Pu, Yewen and Solar-Lezama, Armando},
  journal={NeurIPS},
  volume={31},
  year={2018}
}


@InProceedings{team11chen,
author="Chen, Taolue
and Kwiatkowska, Marta
and Parker, David
and Simaitis, Aistis",
title="Verifying Team Formation Protocols with Probabilistic Model Checking",
booktitle="CLIMA",
year="2011",
@publisher="Springer Berlin Heidelberg",
@address="Berlin, Heidelberg",
@pages="190--207",
isbn="978-3-642-22359-4"
}

@inproceedings{hauskrecht1997incremental,
  title={Incremental methods for computing bounds in partially observable {M}arkov decision processes},
  author={Hauskrecht, Milos},
  booktitle={AAAI/IAAI},
  pages={734--739},
  year={1997}
}

@article{laurent1976constructing,
  title={Constructing optimal binary decision trees is NP-complete},
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@article{hancock1996lower,
  title={Lower bounds on learning decision lists and trees},
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@InProceedings{cvc5,
author="Barbosa, Haniel
and Barrett, Clark
and Brain, Martin
and Kremer, Gereon
and Lachnitt, Hanna
and Mann, Makai
and Mohamed, Abdalrhman
and Mohamed, Mudathir
and Niemetz, Aina
and N{\"o}tzli, Andres
and Ozdemir, Alex
and Preiner, Mathias
and Reynolds, Andrew
and Sheng, Ying
and Tinelli, Cesare
and Zohar, Yoni",
editor="Fisman, Dana
and Rosu, Grigore",
title="cvc5: A Versatile and Industrial-Strength SMT Solver",
booktitle="Tools and Algorithms for the Construction and Analysis of Systems",
year="2022",
publisher="Springer International Publishing",
address="Cham",
pages="415--442",
}

@InProceedings{andriushchenko23search,
author="Andriushchenko, Roman
and Bork, Alexander
and {\v{C}}e{\v{s}}ka, Milan
and Junges, Sebastian
and Katoen, Joost-Pieter
and Mac{\'a}k, Filip",
title="Search and Explore: Symbiotic Policy Synthesis in {POMDPs}",
booktitle="CAV",
year="2023",
@publisher="Springer Nature Switzerland",
@pages="113--135",
isbn="978-3-031-37709-9"
}


@misc{arxiv-version,
      title={Policies Grow on Trees: Model Checking Families of {MDP}s}, 
      author={Roman Andriushchenko and Milan Češka and Sebastian Junges and Filip Macák},
      year={2024},
      eprint={2407.12552},
      archivePrefix={arXiv},
      primaryClass={cs.LO},
      url={https://arxiv.org/abs/2407.12552}, 
}







@inproceedings{DBLP:conf/cav/BarrettT07,
  author       = {Clark W. Barrett and
                  Cesare Tinelli},
  editor       = {Werner Damm and
                  Holger Hermanns},
  title        = {{CVC3}},
  booktitle    = {Computer Aided Verification, 19th International Conference, {CAV}
                  2007, Berlin, Germany, July 3-7, 2007, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {4590},
  pages        = {298--302},
  publisher    = {Springer},
  year         = {2007},
  timestamp    = {Sat, 30 Sep 2023 09:35:55 +0200},
  biburl       = {https://dblp.org/rec/conf/cav/BarrettT07.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@inproceedings{DBLP:conf/cav/BruttomessoCFGS08,
  author       = {Roberto Bruttomesso and
                  Alessandro Cimatti and
                  Anders Franz{\'{e}}n and
                  Alberto Griggio and
                  Roberto Sebastiani},
  editor       = {Aarti Gupta and
                  Sharad Malik},
  title        = {The MathSAT 4SMT Solver},
  booktitle    = {Computer Aided Verification, 20th International Conference, {CAV}
                  2008, Princeton, NJ, USA, July 7-14, 2008, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {5123},
  pages        = {299--303},
  publisher    = {Springer},
  year         = {2008},
  timestamp    = {Sat, 30 Sep 2023 09:35:55 +0200},
  biburl       = {https://dblp.org/rec/conf/cav/BruttomessoCFGS08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@inproceedings{DBLP:conf/cav/DutertreM06,
  author       = {Bruno Dutertre and
                  Leonardo Mendon{\c{c}}a de Moura},
  editor       = {Thomas Ball and
                  Robert B. Jones},
  title        = {A Fast Linear-Arithmetic Solver for {DPLL(T)}},
  booktitle    = {Computer Aided Verification, 18th International Conference, {CAV}
                  2006, Seattle, WA, USA, August 17-20, 2006, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {4144},
  pages        = {81--94},
  publisher    = {Springer},
  year         = {2006},
  timestamp    = {Tue, 09 Jul 2024 07:54:49 +0200},
  biburl       = {https://dblp.org/rec/conf/cav/DutertreM06.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}



@inproceedings{DBLP:conf/tacas/MouraB08,
  author       = {Leonardo Mendon{\c{c}}a de Moura and
                  Nikolaj S. Bj{\o}rner},
  editor       = {C. R. Ramakrishnan and
                  Jakob Rehof},
  title        = {{Z3:} An Efficient {SMT} Solver},
  booktitle    = {Tools and Algorithms for the Construction and Analysis of Systems,
                  14th International Conference, {TACAS} 2008, Held as Part of the Joint
                  European Conferences on Theory and Practice of Software, {ETAPS} 2008,
                  Budapest, Hungary, March 29-April 6, 2008. Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {4963},
  pages        = {337--340},
  publisher    = {Springer},
  year         = {2008},
  timestamp    = {Mon, 03 Apr 2023 17:23:33 +0200},
  biburl       = {https://dblp.org/rec/conf/tacas/MouraB08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}


@article{DBLP:journals/cor/MladenovicH97,
  author       = {Nenad Mladenovic and
                  Pierre Hansen},
  title        = {Variable neighborhood search},
  journal      = {Comput. Oper. Res.},
  @volume       = {24},
  @number       = {11},
  @pages        = {1097--1100},
  year         = {1997},
  @url          = {https://doi.org/10.1016/S0305-0548(97)00031-2},
  @doi          = {10.1016/S0305-0548(97)00031-2},
  @timestamp    = {Tue, 18 Feb 2020 13:57:12 +0100},
  @biburl       = {https://dblp.org/rec/journals/cor/MladenovicH97.bib},
  @bibsource    = {dblp computer science bibliography, https://dblp.org}
}

