def test_collect_symbols(self):
expression = "(A AND NOT B) => B <=> NOT C OR D => E"
parser = PLParser()
root_term = parser.parse(expression)
sc = SymbolsCollector()
sc.collect_symbols(root_term)
result_symbols = sc.symbols
expected_symbols = ["A", "B", "C", "D", "E"]
self.assertSameElements(expected_symbols, result_symbols)
def test_collect_symbols(self):
expression = "(A AND NOT B) => B <=> NOT C OR D => E"
parser = PLParser()
root_term = parser.parse(expression)
sc = SymbolsCollector()
sc.collect_symbols(root_term)
result_symbols = sc.symbols
expected_symbols = ["A", "B", "C", "D", "E"]
self.assertSameElements(expected_symbols, result_symbols)
def tt_entails(self, knowledge_base, alpha):
kb_sentence = knowledge_base.as_sentence()
query_sentence = PLParser().parse(alpha)
collector = SymbolsCollector()
kb_symbols = collector.collect_symbols(kb_sentence)
query_symbols = collector.collect_symbols(query_sentence)
# symbols <- a list of proposition symbols in KB and alpha
symbols_list = list(kb_symbols.union(query_symbols))
# return TT-Check-All(KB, alpha, symbols, [])
return self.tt_check_all(kb_sentence, query_sentence, symbols_list, Model())
def tt_entails(self, knowledge_base, alpha):
kb_sentence = knowledge_base.as_sentence()
query_sentence = PLParser().parse(alpha)
collector = SymbolsCollector()
kb_symbols = collector.collect_symbols(kb_sentence)
query_symbols = collector.collect_symbols(query_sentence)
# symbols <- a list of proposition symbols in KB and alpha
symbols_list = list(kb_symbols.union(query_symbols))
# return TT-Check-All(KB, alpha, symbols, [])
return self.tt_check_all(kb_sentence, query_sentence, symbols_list,
Model())
def __init__(self, root_term):
self.head = None
self.premise_symbols = None
if root_term.type == TokenTypes.IDENTIFIER:
self.head = root_term
self.premise_symbols = []
elif root_term.type != TokenTypes.IMPLICATION:
raise ValueError("Sentence " + str(root_term) + " isn't a horn clause")
else:
self.head = root_term.children[1]
collector = SymbolsCollector()
premise_expression = root_term.children[0]
self.premise_symbols = [SymbolTerm(name) for name in collector.collect_symbols(premise_expression)]
def find_model_for(self, sentence, number_of_flips,
probability_of_random_walk):
model = Model()
cnf_sentence = CNFTransformer().transform(sentence)
clauses = CNFClauseGatherer().collect(cnf_sentence)
symbols = SymbolsCollector().collect_symbols(sentence)
# model <- a random assignment of true/false to the symbols in clauses
for symbol in symbols:
model = model.extend(symbol, randbool())
# for i = 1 to max_flips do
for i in range(number_of_flips):
# if model satisfies clauses then return model
if self._all_clauses_satisfied(clauses, model):
return model
# clause <- a randomly selected clause from clauses that is false in model
symbols_list = list(
self._get_symbols_of_randomly_selected_false_clause(
clauses, model))
# with probability p flip the value in model of a randomly selected symbol from clause
if random.random() >= probability_of_random_walk:
symbol = select_randomly_from_list(symbols_list)
# else flip whichever symbol in clause maximizes the number of satisfied clauses
else:
symbol = self._get_symbol_whose_flip_maximises_satisfied_clauses(
clauses, model, symbols_list)
model.flip(symbol)
return None
def _get_symbols_of_randomly_selected_false_clause(self, clauses, model):
false_clauses = []
for clause in clauses:
if not model.is_true(clause):
false_clauses.append(clause)
random_false_clause = select_randomly_from_list(false_clauses)
return SymbolsCollector().collect_symbols(random_false_clause)
def dpll_satisfiable(self, sentence, model=Model()):
cnf_sentence = CNFTransformer().transform(sentence)
# clauses <- the set of clauses in the CNF representation of s
clauses = CNFClauseGatherer().collect(cnf_sentence)
# symbols <- a list of the proposition symbols in s
symbols = SymbolsCollector().collect_symbols(sentence)
# return DPLL(clauses, symbols, [])
return self._dpll(clauses, symbols, model)
def __init__(self, root_term):
self.head = None
self.premise_symbols = None
if root_term.type == TokenTypes.IDENTIFIER:
self.head = root_term
self.premise_symbols = []
elif root_term.type != TokenTypes.IMPLICATION:
raise ValueError("Sentence " + str(root_term) +
" isn't a horn clause")
else:
self.head = root_term.children[1]
collector = SymbolsCollector()
premise_expression = root_term.children[0]
self.premise_symbols = [
SymbolTerm(name)
for name in collector.collect_symbols(premise_expression)
]