
AutoToS prompt:

I am playing with a set of blocks where I need to arrange the blocks into stacks. Here are the actions I can do
   Pick up a block from the table
   Put down a block on the table
   Unstack a block from on top of another block
   Stack a block on top of another block

   I have the following restrictions on my actions:
   I can only pick up or unstack one block at a time.
   I can only pick up or unstack a block if my hand is empty.
   I can only pick up a block if the block is on the table and the block is clear. A block is clear if the block has no other blocks on top of it and if the block is not picked up.
   I can only unstack a block from on top of another block if the block I am unstacking was really on top of the other block.
   I can only unstack a block from on top of another block if the block I am unstacking is clear.
   Once I pick up a block, I am holding the block and it is no longer clear and no longer on the table. 
   Once I unstack from on top of another block, I am holding the block and it is no longer clear. Instead, the other block becomes clear.   

   I can only put down a block that I am holding.
   I can only stack a block on top of another block if I am holding the block being stacked.
   I can only stack a block on top of another block if the block onto which I am stacking the block is clear.
   Once I put down a block, my hand becomes empty, the block becomes clear, and it is now on the table.
   Once I stack a block on top of another block, the block on top becomes clear and the block under it is no longer clear.
If a state is defined by a dictionary of following predicates "clear block", "on-table block", "arm-empty", "holding block", and "on block1 block2", how are successor states defined? 
Here is an example of the initial state:
Init: {'clear': ['b'], 'on-table': ['d'], 'arm-empty': True, 'holding': None, 'on': [('a', 'c'), ('b', 'a'), ('c', 'd')]}
Please provide only the Python code for the successor function that returns a list of successor states.

Model response:
Successor Function
Python
```
def successor(state):
    successors = []

    # Pick up a block from the table
    for block in state['on-table']:
        if state['arm-empty'] and block in state['clear']:
            new_state = state.copy()
            new_state['arm-empty'] = False
            new_state['holding'] = block
            new_state['clear'].remove(block)
            new_state['on-table'].remove(block)
            successors.append(new_state)

    # Unstack a block from on top of another block
    for block1, block2 in state['on']:
        if state['arm-empty'] and block1 in state['clear']:
            new_state = state.copy()
            new_state['arm-empty'] = False
            new_state['holding'] = block1
            new_state['clear'].remove(block1)
            new_state['clear'].append(block2)
            new_state['on'].remove((block1, block2))
            successors.append(new_state)

    # Put down a block on the table
    if not state['arm-empty']:
        new_state = state.copy()
        new_state['arm-empty'] = True
        new_state['on-table'].append(new_state['holding'])
        new_state['clear'].append(new_state['holding'])
        new_state['holding'] = None
        successors.append(new_state)

    # Stack a block on top of another block
    if not state['arm-empty']:
        for block in state['clear']:
            if block != state['holding']:
                new_state = state.copy()
                new_state['arm-empty'] = True
                new_state['on'].append((new_state['holding'], block))
                new_state['clear'].remove(block)
                new_state['clear'].append(new_state['holding'])
                new_state['holding'] = None
                successors.append(new_state)

    return successors
```
This function generates all possible successor states based on the current state and the actions defined. It iterates over all blocks and checks the preconditions for each action. If the preconditions are met, it creates a new state by applying the effects of the action and adds it to the list of successors.
Generated by Meta Llama 3.1-405

AutoToS prompt:

Provide only the python code that tests whether a state is a goal state. The goal specifies a partial state, the facts that must be true in any full goal state. Assume that the goal configuration is provided in the same dictionary format. 
Here's an example goal specification:
Goal: {'clear': [], 'on-table': [], 'on': [('b', 'c'), ('d', 'b')]}

Model response:
Python
```
def is_goal_state(state, goal):
    for predicate, values in goal.items():
        if predicate not in state:
            return False
        if predicate == 'on':
            for block1, block2 in values:
                if (block1, block2) not in state[predicate]:
                    return False
        else:
            for value in values:
                if value not in state[predicate]:
                    return False
    return True
```
This function checks if a given state satisfies the goal conditions by iterating over the predicates and values in the goal specification and verifying if they exist in the state. If any condition is not met, it returns False. If all conditions are met, it returns True.
You can use this function like this:
Python
state = {'clear': ['a'], 'on-table': ['d'], 'arm-empty': True, 'holding': None, 'on': [('b', 'c'), ('d', 'b'), ('a', 'd')]}
goal = {'clear': [], 'on-table': [], 'on': [('b', 'c'), ('d', 'b')]}
print(is_goal_state(state, goal))  # Output: True
Generated by Meta Llama 3.1-405

System message:
Goal Soundness Test Passed
Soundness test
Successor Iteration 1

AutoToS prompt:
Input state should not change as a result of applying the successor function.
State before successor function applied: {'clear': ['b'], 'on-table': ['d'], 'arm-empty': True, 'holding': None, 'on': [('a', 'c'), ('b', 'a'), ('c', 'd')]}
State after successor function applied: {'clear': ['a'], 'on-table': ['d'], 'arm-empty': True, 'holding': None, 'on': [('a', 'c'), ('c', 'd')]}
Let's think step by step. First, think of the possible reasons why the input state may change as a result of applying the successor function, such as the use of shallow copy.
Then, provide the complete Python code for the revised successor function that returns a list of successor states and ensure it does not change the input state.
Remember how you fixed the previous mistakes, if any. Keep the same function signature.

Model response:
The issue is due to the use of shallow copy when creating new states in the successor function. In Python, when you use the copy() method or the dict() constructor to copy a dictionary, it only creates a new reference to the same dictionary, not a deep copy. This means that when you modify the new state, you're also modifying the original state.
To fix this, we can use the deepcopy() function from the copy module to create a deep copy of the state dictionary. Here's the revised successor function:
Python
```
import copy

def successor(state):
    successors = []

    # Pick up a block from the table
    for block in state['on-table']:
        if state['arm-empty'] and block in state['clear']:
            new_state = copy.deepcopy(state)
            new_state['arm-empty'] = False
            new_state['holding'] = block
            new_state['clear'].remove(block)
            new_state['on-table'].remove(block)
            successors.append(new_state)

    # Unstack a block from on top of another block
    for block1, block2 in state['on']:
        if state['arm-empty'] and block1 in state['clear']:
            new_state = copy.deepcopy(state)
            new_state['arm-empty'] = False
            new_state['holding'] = block1
            new_state['clear'].remove(block1)
            new_state['clear'].append(block2)
            new_state['on'].remove((block1, block2))
            successors.append(new_state)

    # Put down a block on the table
    if not state['arm-empty']:
        new_state = copy.deepcopy(state)
        new_state['arm-empty'] = True
        new_state['on-table'].append(new_state['holding'])
        new_state['clear'].append(new_state['holding'])
        new_state['holding'] = None
        successors.append(new_state)

    # Stack a block on top of another block
    if not state['arm-empty']:
        for block in state['clear']:
            if block != state['holding']:
                new_state = copy.deepcopy(state)
                new_state['arm-empty'] = True
                new_state['on'].append((new_state['holding'], block))
                new_state['clear'].remove(block)
                new_state['clear'].append(new_state['holding'])
                new_state['holding'] = None
                successors.append(new_state)

    return successors
```
By using copy.deepcopy(state), we ensure that each new state is a completely independent copy of the original state, and modifying the new state will not affect the original state.
Generated by Meta Llama 3.1-405

System message:
Successor States Soundness Test Passed
Completeness test
Successor Completeness Test Passed
Evaluating the final outcome
Success: 502, failure: 0, total expansions 50456, total generated 130124
