def implies(s1, s2):
assert isinstance(s1, SemValue) and type(s1) is type(s2)
op = s1.op
axioms = im.background_theory()
u1, c1, p1 = s1.comps
u2, c2, p2 = s2.comps
if u1 == None and u2 != None:
return False
# print "c1: {}".format(c1)
# print "axioms: {}".format(axioms)
# print "df: {}".format(diff_frame(u1,u2,relations,op))
c1 = and_clauses(c1, axioms, diff_frame(u1, u2, op))
if isinstance(c2, Clauses):
if not c2.is_universal_first_order(
) or not p2.is_universal_first_order():
return False
c2 = and_clauses(c2, diff_frame(u2, u1, op))
return clauses_imply(p1, p2) and clauses_imply(c1, c2)
else:
if not is_prenex_universal(c2) or not is_prenex_universal(p2):
return False
c2 = And(c2, clauses_to_formula(diff_frame(u2, u1, op)))
return clauses_imply_formula_cex(p1, p2) and clauses_imply_formula_cex(
c1, c2)
def implies(s1,s2,axioms,relations,op):
u1,c1,p1 = s1
u2,c2,p2 = s2
if u1 == None and u2 != None:
return False
# print "c1: {}".format(c1)
# print "axioms: {}".format(axioms)
# print "df: {}".format(diff_frame(u1,u2,relations,op))
c1 = and_clauses(c1,axioms,diff_frame(u1,u2,relations,op))
if isinstance(c2,Clauses):
if not c2.is_universal_first_order() or not p2.is_universal_first_order():
return False
c2 = and_clauses(c2,diff_frame(u2,u1,relations,op))
return clauses_imply(p1,p2) and clauses_imply(c1,c2)
else:
if not is_prenex_universal(c2) or not is_prenex_universal(p2):
return False
c2 = And(c2,clauses_to_formula(diff_frame(u2,u1,relations,op)))
return clauses_imply_formula_cex(p1,p2) and clauses_imply_formula_cex(c1,c2)
def implies(s1,s2):
assert isinstance(s1,SemValue) and type(s1) is type(s2)
op = s1.op
axioms = im.background_theory()
u1,c1,p1 = s1.comps
u2,c2,p2 = s2.comps
if u1 == None and u2 != None:
return False
# print "c1: {}".format(c1)
# print "axioms: {}".format(axioms)
# print "df: {}".format(diff_frame(u1,u2,relations,op))
c1 = and_clauses(c1,axioms,diff_frame(u1,u2,op))
if isinstance(c2,Clauses):
if not c2.is_universal_first_order() or not p2.is_universal_first_order():
return False
c2 = and_clauses(c2,diff_frame(u2,u1,op))
return clauses_imply(p1,p2) and clauses_imply(c1,c2)
else:
if not is_prenex_universal(c2) or not is_prenex_universal(p2):
return False
c2 = And(c2,clauses_to_formula(diff_frame(u2,u1,op)))
return clauses_imply_formula_cex(p1,p2) and clauses_imply_formula_cex(c1,c2)