"""Planning (Chapters 10-11) """ from utils import Expr, expr, first from logic import FolKB class PDLL: """ PDLL used to define a search problem. It stores states in a knowledge base consisting of first order logic statements. The conjunction of these logical statements completely defines a state. """ def __init__(self, initial_state, actions, goal_test): self.kb = FolKB(initial_state) self.actions = actions self.goal_test_func = goal_test def goal_test(self): return self.goal_test_func(self.kb) def act(self, action): """ Performs the action given as argument. Note that action is an Expr like expr('Remove(Glass, Table)') or expr('Eat(Sandwich)') """ action_name = action.op args = action.args list_action = first(a for a in self.actions if a.name == action_name) if list_action is None: raise Exception("Action '{}' not found".format(action_name)) if not list_action.check_precond(self.kb, args): raise Exception("Action '{}' pre-conditions not satisfied".format(action)) list_action(self.kb, args) class Action: """ Defines an action schema using preconditions and effects. Use this to describe actions in PDDL. action is an Expr where variables are given as arguments(args). Precondition and effect are both lists with positive and negated literals. Example: precond_pos = [expr("Human(person)"), expr("Hungry(Person)")] precond_neg = [expr("Eaten(food)")] effect_add = [expr("Eaten(food)")] effect_rem = [expr("Hungry(person)")] eat = Action(expr("Eat(person, food)"), [precond_pos, precond_neg], [effect_add, effect_rem]) """ def __init__(self, action, precond, effect): self.name = action.op self.args = action.args self.precond_pos = precond[0] self.precond_neg = precond[1] self.effect_add = effect[0] self.effect_rem = effect[1] def __call__(self, kb, args): return self.act(kb, args) def substitute(self, e, args): """Replaces variables in expression with their respective Propostional symbol""" new_args = list(e.args) for num, x in enumerate(e.args): for i in range(len(self.args)): if self.args[i] == x: new_args[num] = args[i] return Expr(e.op, *new_args) def check_precond(self, kb, args): """Checks if the precondition is satisfied in the current state""" # check for positive clauses for clause in self.precond_pos: if self.substitute(clause, args) not in kb.clauses: return False # check for negative clauses for clause in self.precond_neg: if self.substitute(clause, args) in kb.clauses: return False return True def act(self, kb, args): """Executes the action on the state's kb""" # check if the preconditions are satisfied if not self.check_precond(kb, args): raise Exception("Action pre-conditions not satisfied") # remove negative literals for clause in self.effect_rem: kb.retract(self.substitute(clause, args)) # add positive literals for clause in self.effect_add: kb.tell(self.substitute(clause, args)) def air_cargo(): init = [expr('At(C1, SFO)'), expr('At(C2, JFK)'), expr('At(P1, SFO)'), expr('At(P2, JFK)'), expr('Cargo(C1)'), expr('Cargo(C2)'), expr('Plane(P1)'), expr('Plane(P2)'), expr('Airport(JFK)'), expr('Airport(SFO)')] def goal_test(kb): required = [expr('At(C1 , JFK)'), expr('At(C2 ,SFO)')] for q in required: if kb.ask(q) is False: return False return True ## Actions # Load precond_pos = [expr("At(c, a)"), expr("At(p, a)"), expr("Cargo(c)"), expr("Plane(p)"), expr("Airport(a)")] precond_neg = [] effect_add = [expr("In(c, p)")] effect_rem = [expr("At(c, a)")] load = Action(expr("Load(c, p, a)"), [precond_pos, precond_neg], [effect_add, effect_rem]) # Unload precond_pos = [expr("In(c, p)"), expr("At(p, a)"), expr("Cargo(c)"), expr("Plane(p)"), expr("Airport(a)")] precond_neg = [] effect_add = [expr("At(c, a)")] effect_rem = [expr("In(c, p)")] unload = Action(expr("Unload(c, p, a)"), [precond_pos, precond_neg], [effect_add, effect_rem]) # Fly # Used 'f' instead of 'from' because 'from' is a python keyword and expr uses eval() function precond_pos = [expr("At(p, f)"), expr("Plane(p)"), expr("Airport(f)"), expr("Airport(to)")] precond_neg = [] effect_add = [expr("At(p, to)")] effect_rem = [expr("At(p, f)")] fly = Action(expr("Fly(p, f, to)"), [precond_pos, precond_neg], [effect_add, effect_rem]) return PDLL(init, [load, unload, fly], goal_test) def spare_tire(): init = [expr('Tire(Flat)'), expr('Tire(Spare)'), expr('At(Flat, Axle)'), expr('At(Spare, Trunk)')] def goal_test(kb): required = [expr('At(Spare, Axle)'), expr('At(Flat, Ground)')] for q in required: if kb.ask(q) is False: return False return True ##Actions #Remove precond_pos = [expr("At(obj, loc)")] precond_neg = [] effect_add = [expr("At(obj, Ground)")] effect_rem = [expr("At(obj, loc)")] remove = Action(expr("Remove(obj, loc)"), [precond_pos, precond_neg], [effect_add, effect_rem]) #PutOn precond_pos = [expr("Tire(t)"), expr("At(t, Ground)")] precond_neg = [expr("At(Flat, Axle)")] effect_add = [expr("At(t, Axle)")] effect_rem = [expr("At(t, Ground)")] put_on = Action(expr("PutOn(t, Axle)"), [precond_pos, precond_neg], [effect_add, effect_rem]) #LeaveOvernight precond_pos = [] precond_neg = [] effect_add = [] effect_rem = [expr("At(Spare, Ground)"), expr("At(Spare, Axle)"), expr("At(Spare, Trunk)"), expr("At(Flat, Ground)"), expr("At(Flat, Axle)"), expr("At(Flat, Trunk)")] leave_overnight = Action(expr("LeaveOvernight"), [precond_pos, precond_neg], [effect_add, effect_rem]) return PDLL(init, [remove, put_on, leave_overnight], goal_test) def three_block_tower(): init = [expr('On(A, Table)'), expr('On(B, Table)'), expr('On(C, A)'), expr('Block(A)'), expr('Block(B)'), expr('Block(C)'), expr('Clear(B)'), expr('Clear(C)')] def goal_test(kb): required = [expr('On(A, B)'), expr('On(B, C)')] for q in required: if kb.ask(q) is False: return False return True ## Actions # Move precond_pos = [expr('On(b, x)'), expr('Clear(b)'), expr('Clear(y)'), expr('Block(b)'), expr('Block(y)')] precond_neg = [] effect_add = [expr('On(b, y)'), expr('Clear(x)')] effect_rem = [expr('On(b, x)'), expr('Clear(y)')] move = Action(expr('Move(b, x, y)'), [precond_pos, precond_neg], [effect_add, effect_rem]) # MoveToTable precond_pos = [expr('On(b, x)'), expr('Clear(b)'), expr('Block(b)')] precond_neg = [] effect_add = [expr('On(b, Table)'), expr('Clear(x)')] effect_rem = [expr('On(b, x)')] moveToTable = Action(expr('MoveToTable(b, x)'), [precond_pos, precond_neg], [effect_add, effect_rem]) return PDLL(init, [move, moveToTable], goal_test) def have_cake_and_eat_cake_too(): init = [expr('Have(Cake)')] def goal_test(kb): required = [expr('Have(Cake)'), expr('Eaten(Cake)')] for q in required: if kb.ask(q) is False: return False return True ##Actions # Eat cake precond_pos = [expr('Have(Cake)')] precond_neg = [] effect_add = [expr('Eaten(Cake)')] effect_rem = [expr('Have(Cake)')] eat_cake = Action(expr('Eat(Cake)'), [precond_pos, precond_neg], [effect_add, effect_rem]) #Bake Cake precond_pos = [] precond_neg = [expr('Have(Cake)')] effect_add = [expr('Have(Cake)')] effect_rem = [] bake_cake = Action(expr('Bake(Cake)'), [precond_pos, precond_neg], [effect_add, effect_rem]) return PDLL(init, [eat_cake, bake_cake], goal_test)