A Sorted Datalog Hammer for Supervisor Verification Conditions Modulo Simple Linear Arithmetic

Martin Bromberger, Irina Dragoste, Rasha Faqeh, Christof Fetzer, Larry González, Markus Krötzsch, Maximilian Marx, Harish K. Murali, Christoph Weidenbach

Abstract: In a previous paper, we have shown that clause sets belonging to the Horn Bernays-Schönfinkel fragment over simple linear real arithmetic (HBS(SLR)) can be translated into HBS clause sets over a finite set of first-order constants. The translation preserves validity and satisfiability and it is still applicable if we extend our input with positive universally or existentially quantified verification conditions (conjectures). We call this translation a Datalog hammer. The combination of its implementation in SPASS-SPL with the Datalog reasoner VLog establishes an effective way of deciding verification conditions in the Horn fragment. We verify supervisor code for two examples: a lane change assistant in a car and an electronic control unit of a supercharged combustion engine.