def model_facts(h, ignore, clauses1, upclose=False):
# define the universe for each sort:
uc = [fact for s in h.sorts() for fact in model_universe_facts(h, s, upclose)]
# values of constants in formula
temp = [
[(ivy_logic.Constant(c), get_model_constant(h.model, ivy_logic.Constant(c)))]
for c in used_constants_clauses(clauses1)
if not ignore(c) and c not in ivy_logic.sig.constructors
]
# print "temp = {}".format(temp)
vc = [
[ivy_logic._eq_lit(ivy_logic.Constant(c), get_model_constant(h.model, ivy_logic.Constant(c)))]
for c in used_constants_clauses(clauses1)
if not ignore(c) and c not in ivy_logic.sig.constructors
]
# print "model_facts vc = {}".format(vc)
# values of relations in formula
# print "used_relations_clauses = {}".format(used_relations_clauses(clauses1))
urc = dict((ivy_logic.normalize_symbol(r), n) for r, n in used_relations_clauses(clauses1).iteritems())
vr = [[l] for (r, n) in urc.iteritems() if not ignore(r) for l in relation_model_to_clauses(h, r, n)]
# values of functions in formula
fns = set(f for (f, arity) in functions_clauses(clauses1) if not ignore(f) and arity >= 1)
vf = [[l] for f in fns for l in function_model_to_clauses(h, f)]
res = uc + vc + vr + vf
return Clauses(res)
def model_facts(h, ignore, clauses1, upclose=False):
# define the universe for each sort:
uc = [
fact for s in h.sorts()
for fact in model_universe_facts(h, s, upclose)
]
# values of constants in formula
temp = [[(ivy_logic.Constant(c),
get_model_constant(h.model, ivy_logic.Constant(c)))]
for c in used_constants_clauses(clauses1)
if not ignore(c) and c not in ivy_logic.sig.constructors]
# print "temp = {}".format(temp)
vc = [[
ivy_logic._eq_lit(ivy_logic.Constant(c),
get_model_constant(h.model, ivy_logic.Constant(c)))
] for c in used_constants_clauses(clauses1)
if not ignore(c) and c not in ivy_logic.sig.constructors]
# print "model_facts vc = {}".format(vc)
# values of relations in formula
# print "used_relations_clauses = {}".format(used_relations_clauses(clauses1))
vr = [[l] for (r, n) in used_relations_clauses(clauses1).iteritems()
if not ignore(r) for l in relation_model_to_clauses(h, r, n)]
# values of functions in formula
fns = set(f for (f, arity) in functions_clauses(clauses1)
if not ignore(f) and arity >= 1)
vf = [[l] for f in fns for l in function_model_to_clauses(h, f)]
res = uc + vc + vr + vf
return Clauses(res)
def interp_from_unsat_core(clauses1, clauses2, core, interpreted):
used_syms = used_symbols_clauses(core)
vars = used_variables_clauses(core)
if vars:
# print "interpolant would require skolem constants"
return None
core_consts = used_constants_clauses(core)
clauses2_consts = used_constants_clauses(clauses2)
# print "interp_from_unsat_core core_consts = {}".format(map(str,core_consts))
# print "interp_from_unsat_core clauses2_consts = {}".format(map(str,clauses2_consts))
renaming = dict()
i = 0
for v in core_consts:
if v not in clauses2_consts or v.is_skolem(
): # and v not in interpreted:
renaming[v] = Variable('V' + str(i), Constant(v).get_sort())
i += 1
# print "interp_from_unsat_core core = {}".format(core)
# print "interp_from_unsat_core renaming = {}".format(renaming)
renamed_core = substitute_constants_clauses(core, renaming)
# print "interp_from_unsat_core renamed_core = {}".format(renamed_core)
res = simplify_clauses(
Clauses([Or(*[negate(c) for c in renamed_core.fmlas])]))
# print "interp_from_unsat_core res = {}".format(res)
return res
def string_to_concept(self,text):
# set up the signature with symbols in graph so
# we can parse the formula.
sig = il.sig.copy()
with sig:
for c in ilu.used_constants_clauses(self.state):
if not isinstance(c.sort,il.EnumeratedSort) and not c.is_numeral():
il.add_symbol(str(c),c.sort)
for c in ilu.used_constants_clauses(self.constraints) and not c.is_numeral():
if not isinstance(c.sort,il.EnumeratedSort):
il.add_symbol(str(c),c.sort)
return concept_from_formula(ilu.to_formula(text))
def string_to_concept(self,text):
# set up the signature with symbols in graph so
# we can parse the formula.
sig = ivy_logic.sig.copy()
with sig:
for c in used_constants_clauses(self.state):
if not isinstance(c.sort,ivy_logic.EnumeratedSort):
ivy_logic.add_symbol(str(c),c.sort)
for c in used_constants_clauses(self.constraints):
if not isinstance(c.sort,ivy_logic.EnumeratedSort):
ivy_logic.add_symbol(str(c),c.sort)
return to_literal(text)
def string_to_concept(self, text):
# set up the signature with symbols in graph so
# we can parse the formula.
sig = il.sig.copy()
with sig:
for c in ilu.used_constants_clauses(self.state):
if not isinstance(c.sort,
il.EnumeratedSort) and not c.is_numeral():
il.add_symbol(str(c), c.sort)
for c in ilu.used_constants_clauses(
self.constraints) and not c.is_numeral():
if not isinstance(c.sort, il.EnumeratedSort):
il.add_symbol(str(c), c.sort)
return concept_from_formula(ilu.to_formula(text))
def numeral_assign(clauses, h):
num_by_sort = defaultdict(list)
numerals = [c for c in used_constants_clauses(clauses) if c.is_numeral()]
for num in numerals:
num_by_sort[num.sort].append(num)
# print "num_by_sort: {}".format(numerals)
foom = dict()
used = set()
# print "starting: foom = {}".format(foom)
for s in h.sorts():
# print "na sort: {}".format(repr(s))
if ivy_logic.is_interpreted_sort(s):
continue
# print "sort loop: sort = {}, foom = {}".format(s,foom)
for num in num_by_sort[s]:
# print "foom = {}".format(foom)
numv = h.eval_constant(num)
# print "eval: {}:{} = {}".format(num,num.sort,numv)
if numv in foom:
print "two numerals assigned same value!: {} = {}".format(num, foom[numv])
else:
# print "assigning {} to {}".format(num,numv)
foom[numv] = num
used.add(num)
i = 0
for c in h.sorted_sort_universe(s):
if c not in foom:
while True:
num = ivy_logic.Constant(c.rep.rename(lambda s: str(i)))
i = i + 1
if num not in used:
foom[c.rep] = num
break
return foom
def numeral_assign(clauses,h):
num_by_sort = defaultdict(list)
numerals = [c for c in used_constants_clauses(clauses) if c.is_numeral()]
for num in numerals:
num_by_sort[num.sort].append(num)
# print "num_by_sort: {}".format(numerals)
foom = dict()
used = set()
# print "starting: foom = {}".format(foom)
for s in h.sorts():
# print "na sort: {}".format(repr(s))
if ivy_logic.is_interpreted_sort(s):
continue
# print "sort loop: sort = {}, foom = {}".format(s,foom)
for num in num_by_sort[s]:
# print "foom = {}".format(foom)
numv = h.eval_constant(num)
# print "eval: {}:{} = {}".format(num,num.sort,numv)
if numv in foom:
print "two numerals assigned same value!: {} = {}".format(num,foom[numv])
else:
# print "assigning {} to {}".format(num,numv)
foom[numv] = num
used.add(num)
i = 0
for c in h.sorted_sort_universe(s):
if c not in foom:
while True:
num = ivy_logic.Constant(c.rep.rename(lambda s:str(i)))
i = i + 1
if num not in used:
foom[c.rep] = num
break
return foom
def splatter(self, node, constants=None):
if constants == None:
constants = used_constants_clauses(self.constraints)
eqs = [
eq_lit(node.variable('X'), Constant(c)) for c in constants
if c.sort == node.sort
]
# print "splatter eqs = {}".format(eqs)
self.split_n_way(node, eqs)
def clauses_model_to_diagram(clauses1,ignore = None, implied = None,model = None,axioms=None,weaken=True,numerals=True):
""" Return a diagram of a model of clauses1 or None. The function "ignore", if
provided, returns true for symbols that should be ignored in the
diagram.
"""
# print "clauses_model_to_diagram clauses1 = {}".format(clauses1)
if axioms == None:
axioms = true_clauses()
h = model_if_none(and_clauses(clauses1,axioms),implied,model)
ignore = ignore if ignore != None else lambda x: False
res = model_facts(h,(lambda x: False),clauses1,upclose=True) # why not pass axioms?
# print "clauses_model_to_diagram res = {}".format(res)
# find representative elements
# find representatives of universe elements
if numerals:
reps = numeral_assign(res,h)
else:
reps = dict()
for c in used_constants_clauses(clauses1):
# print "constant: {}".format(c)
mc = get_model_constant(h.model,ivy_logic.Constant(c))
# print "value: {}".format(mc)
if mc.rep not in reps or reps[mc.rep].rep.is_skolem() and not c.is_skolem():
reps[mc.rep] = ivy_logic.Constant(c)
for s in h.sorts():
for e in h.sort_universe(s):
if e.rep not in reps:
reps[e.rep] = e.rep.skolem()()
# print "clauses_model_to_diagram reps = {}".format(reps)
# filter out clauses using universe elements without reps
# res = [cls for cls in res if all(c in reps for c in used_constants_clause(cls))]
# replace universe elements with their reps
# print "clauses_model_to_diagram res = {}".format(res)
res = substitute_constants_clauses(res,reps)
# filter defined skolems
# this caused a bug in the leader example. the generated diagram did not satisfy clauses1
res.fmlas = [f for f in res.fmlas if not any((x.is_skolem() and x in clauses1.defidx) for x in used_symbols_ast(f))]
# print "clauses_model_to_diagram res = {}".format(res)
uc = Clauses([[ivy_logic._eq_lit(ivy_logic.Variable('X',c.get_sort()),reps[c.rep])
for c in h.sort_universe(s)] for s in h.sorts()])
# print "clauses_model_to_diagram uc = {}".format(uc)
# uc = true_clauses()
if weaken:
res = unsat_core(res,and_clauses(uc,axioms),clauses1) # implied not used here
# print "clauses_model_to_diagram res = {}".format(res)
# print "foo = {}".format(unsat_core(and_clauses(uc,axioms),true_clauses(),clauses1))
# filter out non-rep skolems
repset = set(c.rep for e,c in reps.iteritems())
# print "clauses_model_to_diagram repset = {}".format(repset)
ign = lambda x,ignore=ignore: (ignore(x) and not x in repset)
res = Clauses([cl for cl in res.fmlas if not any(ign(c) for c in used_symbols_ast(cl))])
# print "clauses_model_to_diagram res = {}".format(res)
return res
def splatter(self,node,constants = None):
if constants == None:
constants = ilu.used_constants_clauses(self.constraints)
concepts = self.concept_session.domain.concepts
name = node.name + '.splatter'
concepts[name] = enum_concepts(name,None,None)
for cons in constants:
c1 = concept_from_formula(Equals(Variable('X',node.sort),cons))
concepts[c1.name] = c1
concepts[name].append(c1.name)
self.concept_session.domain.split(node.name,name)
self.recompute()
def splatter(self, node, constants=None):
if constants == None:
constants = ilu.used_constants_clauses(self.constraints)
concepts = self.concept_session.domain.concepts
name = node.name + '.splatter'
concepts[name] = enum_concepts(name, None, None)
for cons in constants:
c1 = concept_from_formula(Equals(Variable('X', node.sort), cons))
concepts[c1.name] = c1
concepts[name].append(c1.name)
self.concept_session.domain.split(node.name, name)
self.recompute()
def interp_from_unsat_core(clauses1,clauses2,core,interpreted):
used_syms = used_symbols_clauses(core)
vars = used_variables_clauses(core)
if vars:
# print "interpolant would require skolem constants"
return None
core_consts = used_constants_clauses(core)
clauses2_consts = used_constants_clauses(clauses2)
# print "interp_from_unsat_core core_consts = {}".format(map(str,core_consts))
# print "interp_from_unsat_core clauses2_consts = {}".format(map(str,clauses2_consts))
renaming = dict()
i = 0
for v in core_consts:
if v not in clauses2_consts or v.is_skolem(): # and v not in interpreted:
renaming[v] = Variable('V' + str(i),Constant(v).get_sort())
i += 1
# print "interp_from_unsat_core core = {}".format(core)
# print "interp_from_unsat_core renaming = {}".format(renaming)
renamed_core = substitute_constants_clauses(core,renaming)
# print "interp_from_unsat_core renamed_core = {}".format(renamed_core)
res = simplify_clauses(Clauses([Or(*[negate(c) for c in renamed_core.fmlas])]))
# print "interp_from_unsat_core res = {}".format(res)
return res
def get_predicates(self,clauses):
# print "get_predicates: {}".format(clauses)
d = self.parent_state.domain
sig = d.sig
urs = [x for x in used_unary_relations_clauses(clauses) if not is_skolem(x)]
cs = [x for x in used_constants_clauses(clauses)
if not is_skolem(x) and not has_enumerated_sort(sig,x) and not x.is_numeral()]
ufs = [x for x in used_unary_functions_clauses(clauses)
if not is_skolem(x) and has_enumerated_sort(sig,x)]
nrs = [x for x,arity in d.relations.iteritems() if arity == 0]
union_to_list(urs,[x for x,arity in d.relations.iteritems() if arity == 1])
union_to_list(cs,[x for x,arity in d.functions.iteritems()
if arity == 0 and not has_enumerated_sort(sig,x)])
union_to_list(ufs,[x for x,arity in d.functions.iteritems()
if arity == 1 and has_enumerated_sort(sig,x)])
# print "ufs: {}".format(ufs)
ccs = [Constant(c) for c in cs]
# print "sorts: {}".format([(c,c.get_sort()) for c in ccs])
return ([Literal(1,Atom(c,[])) for c in nrs] +
[Literal(1,Atom(equals,[Variable("X",c.get_sort()),c])) for c in ccs] +
[Literal(1,Atom(r,[Variable("X",r.sort.dom[0])])) for r in urs] +
[(App(f,Variable('X',f.sort.dom[0])),[Constant(Symbol(x,f.sort.rng)) for x in f.sort.rng.defines()]) for f in ufs])
def get_predicates(self, clauses):
# print "get_predicates: {}".format(clauses)
d = self.parent_state.domain
sig = d.sig
urs = [
x for x in used_unary_relations_clauses(clauses)
if not is_skolem(x)
]
cs = [
x for x in used_constants_clauses(clauses) if not is_skolem(x)
and not has_enumerated_sort(sig, x) and not x.is_numeral()
]
ufs = [
x for x in used_unary_functions_clauses(clauses)
if not is_skolem(x) and has_enumerated_sort(sig, x)
]
nrs = [x for x, arity in d.relations.iteritems() if arity == 0]
union_to_list(
urs, [x for x, arity in d.relations.iteritems() if arity == 1])
union_to_list(cs, [
x for x, arity in d.functions.iteritems()
if arity == 0 and not has_enumerated_sort(sig, x)
])
union_to_list(ufs, [
x for x, arity in d.functions.iteritems()
if arity == 1 and has_enumerated_sort(sig, x)
])
# print "ufs: {}".format(ufs)
ccs = [Constant(c) for c in cs]
# print "sorts: {}".format([(c,c.get_sort()) for c in ccs])
return ([Literal(1, Atom(c, [])) for c in nrs] + [
Literal(1, Atom(equals, [Variable("X", c.get_sort()), c]))
for c in ccs
] + [Literal(1, Atom(r, [Variable("X", r.sort.dom[0])]))
for r in urs] + [(App(f, Variable('X', f.sort.dom[0])), [
Constant(Symbol(x, f.sort.rng)) for x in f.sort.rng.defines()
]) for f in ufs])
def splatter(self,node,constants = None):
if constants == None:
constants = used_constants_clauses(self.constraints)
eqs = [eq_lit(node.variable('X'),Constant(c)) for c in constants if c.sort == node.sort]
# print "splatter eqs = {}".format(eqs)
self.split_n_way(node,eqs)
def clauses_model_to_diagram(clauses1,
ignore=None,
implied=None,
model=None,
axioms=None,
weaken=True):
""" Return a diagram of a model of clauses1 or None. The function "ignore", if
provided, returns true for symbols that should be ignored in the
diagram.
"""
print "clauses_model_to_diagram clauses1 = {}".format(clauses1)
if axioms == None:
axioms = true_clauses
h = model_if_none(and_clauses(clauses1, axioms), implied, model)
ignore = ignore if ignore != None else lambda x: False
res = model_facts(h, (lambda x: False), clauses1,
upclose=True) # why not pass axioms?
print "clauses_model_to_diagram res = {}".format(res)
# find representative elements
# find representatives of universe elements
reps = dict()
for c in used_constants_clauses(clauses1):
# print "constant: {}".format(c)
mc = get_model_constant(h.model, ivy_logic.Constant(c))
# print "value: {}".format(mc)
if mc.rep not in reps or reps[
mc.rep].rep.is_skolem() and not c.is_skolem():
reps[mc.rep] = ivy_logic.Constant(c)
for s in h.sorts():
for e in h.sort_universe(s):
if e.rep not in reps:
reps[e.rep] = e.rep.skolem()()
print "clauses_model_to_diagram reps = {}".format(reps)
# filter out clauses using universe elements without reps
# res = [cls for cls in res if all(c in reps for c in used_constants_clause(cls))]
# replace universe elements with their reps
print "clauses_model_to_diagram res = {}".format(res)
res = substitute_constants_clauses(res, reps)
# filter defined skolems
# this caused a bug in the leader example. the generated diagram did not satisfy clauses1
res.fmlas = [
f for f in res.fmlas
if not any((x.is_skolem() and x in clauses1.defidx)
for x in used_symbols_ast(f))
]
print "clauses_model_to_diagram res = {}".format(res)
uc = Clauses([[
ivy_logic._eq_lit(ivy_logic.Variable('X', c.get_sort()), reps[c.rep])
for c in h.sort_universe(s)
] for s in h.sorts()])
print "clauses_model_to_diagram uc = {}".format(uc)
# uc = true_clauses()
if weaken:
res = unsat_core(res, and_clauses(uc, axioms),
clauses1) # implied not used here
print "clauses_model_to_diagram res = {}".format(res)
# print "foo = {}".format(unsat_core(and_clauses(uc,axioms),true_clauses(),clauses1))
# filter out non-rep skolems
repset = set(c.rep for e, c in reps.iteritems())
print "clauses_model_to_diagram repset = {}".format(repset)
ign = lambda x, ignore=ignore: (ignore(x) and not x in repset)
res = Clauses([
cl for cl in res.fmlas
if not any(ign(c) for c in used_symbols_ast(cl))
])
print "clauses_model_to_diagram res = {}".format(res)
return res