def test_occurrence():
occ = occurrence(relationships([simultaneous('a', 'b')]))
print('occurrence: ', occ)
formula = and_(simultaneous('a', 'b'), not_(var('a')), *occ)
print('formula: ', formula)
s = formula.sat()[1]
if s:
print('solution: ', [k for k, v in s.items() if v])
assert not s
def minimality(self, protocol):
"""Every parameter observed by a role must have a corresponding
message transmission or reception"""
sources = {}
def add(m, p):
if p in sources:
sources[p].append(m)
else:
sources[p] = [m]
outgoing = set()
for m in self.messages(protocol).values():
if m.recipient == self:
for p in m.ins.union(m.outs):
add(m, p)
else:
for p in m.outs:
add(m, p)
for p in m.ins:
outgoing.add(p)
# keep track of 'in' parameters being sent without sources
# unsourced parameters cannot be observed
unsourced = [logic.Name(~self.observe(p), p)
for p in outgoing - set(sources.keys())]
# sourced parameters must be received or sent to be observed
sourced = [logic.Name(impl(self.observe(p),
or_(*[simultaneous(self.observe(m), self.observe(p))
for m in sources[p]])),
p)
for p in sources]
return logic.And(*(unsourced + sourced))
def reception(self):
"Each message reception is accompanied by the observation of its parameters; either they are observed, or the message itself is not"
clauses = [impl(self.received,
or_(sequential(p, self.received),
simultaneous(p, self.received)))
for p in map(partial(observe, self.recipient), self.ins | self.outs)]
return and_(*clauses)
def blocked(self):
s = partial(observe, self.sender)
ins = [~s(p) for p in self.ins]
nils = [and_(s(p), ~(sequential(s(p), self.sent) |
simultaneous(s(p), self.sent))) for p in self.nils]
outs = [s(p) for p in self.outs]
return or_(*(nils + outs + ins))
def test_timeline():
statements = [simultaneous('a', 'b'), sequential('b', 'a')]
t = timeline(relationships(statements))
print('timeline: ', t)
formula = and_(var('a'), var('b'), *(t + statements))
print('formula: ', formula)
s = formula.sat()[1]
if s:
print('solution: ', [k for k, v in s.items() if v])
assert not s
def emission(self):
"""Sending a message must be preceded by observation of its ins,
but cannot be preceded by observation of any nils or outs"""
s = partial(observe, self.sender)
ins = [impl(self.sent, sequential(s(p), self.sent))
for p in self.ins]
nils = [impl(and_(self.sent, s(p)), sequential(self.sent, s(p)))
for p in self.nils]
outs = [impl(self.sent, simultaneous(s(p), self.sent))
for p in self.outs]
return and_(*(ins + nils + outs))
def uniqueness(self, key):
"Bindings to key parameters uniquely identify enactments, so there should never be multiple messages with the same out key in the same enactment"
candidates = set()
for m in self.messages.values():
if key in m.outs:
candidates.add(simultaneous(
m.sent, observe(m.sender, key)))
if candidates:
return onehot0(*candidates)
else:
return True
def test_relationships():
statements = [simultaneous('a', 'b'), sequential('a', 'b')]
rs = relationships(statements)
assert ('a', 'b') in rs and len(rs[('a', 'b')]) == 2