
AutoToS prompt:

This domain models the classic Sokoban game, where the robot needs to move around and push stones to specific locations while adhering to the constraints defined by the walls in the maze. 
The maze is defined by a grid of values 0,1, and 2, where 2 means it is a goal location for a stone, 1 means the cell is blocked, and either 0 or 2 means that the cell can be occupied. A cell is clear if it can be occupied, but is not occupied by either the player or any stone.

The actions are:

move: This action moves the player in a specified direction. To perform this action, the target location must be clear and adjacent to player's location. Performing this action will result in the player being at the target location and no longer at the starting location, meaning the starting location is now clear, while the target location is now not clear.

push: This action allows the player to push a stone in a specified direction. To perform this action, the player's location, the stone location, and the target location must line up in the same direction, and the target location must be clear. Performing the action results in player being at the stone's initial location and the stone is at the target location. Further, the player's previous location is clear, while the target location is not clear.

Assume that states are defined by a dictionary with keys at-player and at-stone. 
Here is an example of a state
{'at-player': (4, 4), 'at-stone': [(2, 2), (3, 3)]}
Here is an example of the grid:
[[1, 1, 1, 1, 0, 0, 0, 0], [1, 0, 0, 1, 1, 0, 0, 0], [1, 0, 0, 0, 1, 1, 1, 1], [1, 0, 0, 0, 1, 0, 0, 1], [1, 1, 0, 0, 0, 0, 0, 1], [0, 1, 1, 1, 2, 2, 0, 1], [0, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1]]

Provide a Python implementation of successor states function, receiving a state and a grid and returning a list of immediate successor states.

Model response:
Successor States Function
Python
```
def successor_states(state, grid):
    """
    This function generates all possible successor states for a given state in the Sokoban game.

    Args:
    state (dict): A dictionary containing the current state of the game.
                  It has two keys: 'at-player' and 'at-stone'.
                  'at-player' is a tuple representing the player's location.
                  'at-stone' is a list of tuples, each representing a stone's location.
    grid (list of lists): A 2D list representing the game grid.
                         It contains 0s (clear cells), 1s (blocked cells), and 2s (goal locations).

    Returns:
    list of dicts: A list of dictionaries, each representing a possible successor state.
    """

    # Define possible movements (up, down, left, right)
    movements = [(0, 1), (0, -1), (1, 0), (-1, 0)]

    # Function to check if a cell is within the grid boundaries
    def is_valid(cell):
        return 0 <= cell[0] < len(grid) and 0 <= cell[1] < len(grid[0])

    # Function to check if a cell is clear (not blocked and not occupied by the player or a stone)
    def is_clear(cell):
        return is_valid(cell) and grid[cell[0]][cell[1]] != 1 and cell not in state['at-stone'] and cell != state['at-player']

    # Initialize the list of successor states
    successors = []

    # Check all possible movements from the current player location
    for movement in movements:
        new_player_location = (state['at-player'][0] + movement[0], state['at-player'][1] + movement[1])

        # If the new player location is clear, add the new state to the successors list
        if is_clear(new_player_location):
            new_state = {'at-player': new_player_location, 'at-stone': state['at-stone'].copy()}
            successors.append(new_state)

        # Check if the player can push a stone in the current direction
        stone_location = (new_player_location[0] + movement[0], new_player_location[1] + movement[1])
        if stone_location in state['at-stone']:
            new_stone_location = (stone_location[0] + movement[0], stone_location[1] + movement[1])
            if is_clear(new_stone_location):
                new_state = {'at-player': new_player_location, 'at-stone': state['at-stone'].copy()}
                new_state['at-stone'].remove(stone_location)
                new_state['at-stone'].append(new_stone_location)
                successors.append(new_state)

    return successors
```
This function generates all possible successor states for a given state in the Sokoban game. It checks all possible movements from the current player location and adds the new states to the successors list if the new player location is clear. It also checks if the player can push a stone in the current direction and adds the new state to the successors list if the new stone location is clear.
Generated by Meta Llama 3.1-405

AutoToS prompt:

Provide only the python code that tests whether a state is a goal state for a given goal configuration. Assume that the goal configuration is provided by the 2-dimensional array as before. The function should receive a state and the 2-dimensional array and return True if the state is a goal state and False otherwise.

Model response:
Goal Test Function
Python
```
def is_goal_state(state, grid):
    """
    This function checks if a given state is a goal state.

    Args:
    state (dict): A dictionary containing the current state of the game.
                  It has two keys: 'at-player' and 'at-stone'.
                  'at-player' is a tuple representing the player's location.
                  'at-stone' is a list of tuples, each representing a stone's location.
    grid (list of lists): A 2D list representing the game grid.
                         It contains 0s (clear cells), 1s (blocked cells), and 2s (goal locations).

    Returns:
    bool: True if the state is a goal state, False otherwise.
    """
    # Check if all stones are at goal locations
    for stone in state['at-stone']:
        if grid[stone[0]][stone[1]] != 2:
            return False

    return True
```
Generated by Meta Llama 3.1-405

System message:
Goal Soundness Test Passed
Soundness test

System message:
Successor States Soundness Test Passed
Completeness test
Successor Iteration 1

AutoToS prompt:
Error occurred for grid configuration: [[1, 1, 1, 1, 1, 1], [1, 0, 0, 2, 0, 1], [1, 0, 1, 0, 0, 1], [1, 0, 0, 0, 0, 1], [1, 0, 1, 2, 1, 1], [1, 0, 0, 0, 1, 0], [1, 1, 1, 1, 1, 0]]
Successor function when run on the state {'at-player': (5, 3), 'at-stone': [(5, 2), (4, 3)]} failed to produce all successors.
Missing successors are: [{'at-player': (5, 2), 'at-stone': [(5, 1), (4, 3)]}]
First think step by step why the successor function failed to produce all successors of the state.
Then, fix the successor function.
Remember how you fixed the previous mistakes, if any. Keep the same function signature.

Model response:
Successor States Function (Updated)
Python
```
def successor_states(state, grid):
    """
    This function generates all possible successor states for a given state in the Sokoban game.

    Args:
    state (dict): A dictionary containing the current state of the game.
                  It has two keys: 'at-player' and 'at-stone'.
                  'at-player' is a tuple representing the player's location.
                  'at-stone' is a list of tuples, each representing a stone's location.
    grid (list of lists): A 2D list representing the game grid.
                         It contains 0s (clear cells), 1s (blocked cells), and 2s (goal locations).

    Returns:
    list of dicts: A list of dictionaries, each representing a possible successor state.
    """

    # Define possible movements (up, down, left, right)
    movements = [(0, 1), (0, -1), (1, 0), (-1, 0)]

    # Function to check if a cell is within the grid boundaries
    def is_valid(cell):
        return 0 <= cell[0] < len(grid) and 0 <= cell[1] < len(grid[0])

    # Function to check if a cell is clear (not blocked and not occupied by the player or a stone)
    def is_clear(cell):
        return is_valid(cell) and grid[cell[0]][cell[1]] != 1 and cell not in state['at-stone'] and cell != state['at-player']

    # Initialize the list of successor states
    successors = []

    # Check all possible movements from the current player location
    for movement in movements:
        new_player_location = (state['at-player'][0] + movement[0], state['at-player'][1] + movement[1])

        # If the new player location is clear, add the new state to the successors list
        if is_clear(new_player_location):
            new_state = {'at-player': new_player_location, 'at-stone': state['at-stone'].copy()}
            successors.append(new_state)

        # Check if the player can push a stone in the current direction
        for stone in state['at-stone']:
            if (stone[0] == new_player_location[0] and stone[1] == new_player_location[1]):
                new_stone_location = (stone[0] + movement[0], stone[1] + movement[1])
                if is_clear(new_stone_location):
                    new_state = {'at-player': new_player_location, 'at-stone': state['at-stone'].copy()}
                    new_state['at-stone'].remove(stone)
                    new_state['at-stone'].append(new_stone_location)
                    successors.append(new_state)

    return successors
```
The issue was that the previous function was only checking if the player could push a stone if the stone was in the stone_location which was calculated based on the new_player_location. However, this was not considering the case where the stone is already at the new_player_location. To fix this, we need to check for each stone in the state['at-stone'] if it is at the new_player_location and if the player can push it to the new_stone_location.
Now the function correctly generates all possible successor states for a given state in the Sokoban game.
Generated by Meta Llama 3.1-405

System message:
Successor States Soundness Test Passed
Completeness test
Successor Completeness Test Passed
Total success: 11, failure: 0, total expansions 763750, total generated 1955669
