def test_localize_two_ass_one_gua(self):
"""
forall(i,j) a_i_j -> forall(i) b_i
replaced by
forall(i,j) (a_i_j -> b_i)
"""
a_i_j_is_true, b_j_is_true = _get_is_true('a', 'i',
'j'), _get_is_true('b', 'j')
b_i_is_true = _get_is_true('b', 'i')
prop = SpecProperty([ForallExpr(['i', 'j'], a_i_j_is_true)],
[ForallExpr(['j'], b_j_is_true)])
localized_prop = localize(prop)
expected_prop_i_j1 = SpecProperty(
[Bool(True)],
[ForallExpr(['i', 'j'], BinOp('->', a_i_j_is_true, b_j_is_true))])
expected_prop_i_j2 = SpecProperty(
[Bool(True)],
[ForallExpr(['i', 'j'], BinOp('->', a_i_j_is_true, b_i_is_true))])
assert str(localized_prop) == str(expected_prop_i_j1) or \
str(localized_prop) == str(expected_prop_i_j2), \
str(localized_prop)
def test_instantiate_property_cutoff2(self):
property = SpecProperty([Bool(True)], [parse_expr('Forall(j) b_j=1')])
result = inst_property(property, 2)
expected = SpecProperty([Bool(True)], [parse_expr('b_0=1')])
result_data = _convert_conjunction_to_str(result)
expected_data = _convert_conjunction_to_str(expected)
self.assertEqual(expected_data, result_data)
def _assert_no_single_concrete(expressions):
if len(expressions) != 1:
return
e = expressions[0]
if e in [Bool(True), Bool(False)]:
return
if is_quantified_expr(e):
return
assert 0, 'single concrete assumptions/guarantees are not supported now: ' + str(
e)
def test_instantiate_property_cutoff_another_4(self):
property = SpecProperty([Bool(True)],
[parse_expr('Forall(j,k) b_j=1 -> c_k=1')])
result = inst_property(property, 4)
expected = SpecProperty([Bool(True)], [
parse_expr(
'(b_0=1 -> c_1=1) * (b_0=1 -> c_2=1) * (b_0=1 -> c_3=1)')
])
result_data = _convert_conjunction_to_str(result)
expected_data = _convert_conjunction_to_str(expected)
self.assertEqual(expected_data, result_data)
def normalize_conjuncts(conjuncts:list) -> Expr:
""" sound, complete
forall(i,j) a_i_j and forall(i) b_i ----> forall(i,j) (a_i_j and b_i)
forall(i) a_i and forall(j) b_j ----> forall(i) (a_i and b_i)
"""
if len(conjuncts) == 0:
return Bool(True)
if len(conjuncts) == 1 and isinstance(conjuncts[0], Bool):
return conjuncts[0]
for e in conjuncts:
assert isinstance(e, ForallExpr), 'global non-parameterized properties are not supported'
max_indices = max(conjuncts, key=lambda e: len(e.arg1))
new_indices = max_indices.arg1
normalized_underlying_expr = None
for e in conjuncts:
old_indices = e.arg1
new_by_old = dict((o, new_indices[i]) for i, o in enumerate(old_indices))
new_underlying_e = _replace_indices(new_by_old, e.arg2)
if normalized_underlying_expr is None:
normalized_underlying_expr = new_underlying_e
else:
normalized_underlying_expr = BinOp('*', normalized_underlying_expr, new_underlying_e)
normalized_expr = ForallExpr(new_indices, normalized_underlying_expr)
return normalized_expr
def and_properties(properties) -> SpecProperty:
property_expressions = [
BinOp('->', and_expressions(p.assumptions),
and_expressions(p.guarantees)) for p in properties
]
return SpecProperty([Bool(True)], [and_expressions(property_expressions)])
def test_localize_zero_ass(self):
"""
true -> forall(i) b_i
replaced by
forall(i) (true -> b_i)
"""
b_i_is_true = _get_is_true('b', 'i')
prop = SpecProperty([Bool(True)], [ForallExpr(['i'], b_i_is_true)])
localized_prop = localize(prop)
expected_prop = SpecProperty(
[Bool(True)],
[ForallExpr(['i'], BinOp('->', Bool(True), b_i_is_true))])
assert str(localized_prop) == str(expected_prop), str(localized_prop)
def test_localize_one_ass_one_gua(self):
""" forall(i) a_i -> forall(j) b_j
replaced by
forall(i) (a_i -> b_i)
"""
prop = SpecProperty([parse_expr('Forall (i) a_i=1')],
[parse_expr('Forall (j) b_j=1')])
localized_prop = localize(prop)
expected_prop_i = SpecProperty(
[Bool(True)], [parse_expr('Forall (i) a_i=1 -> b_i=1')])
expected_prop_j = SpecProperty(
[Bool(True)], [parse_expr('Forall (j) a_j=1 -> b_j=1')])
expected_prop_str_i = str(expected_prop_i)
expected_prop_str_j = str(expected_prop_j)
localized_prop_str = str(localized_prop)
assert localized_prop_str == expected_prop_str_i \
or localized_prop_str == expected_prop_str_j, str(localized_prop_str)
def localize(property:SpecProperty):
""" sound, but incomplete
forall(i) a_i -> forall(j) g_j
=>
forall(i) (a_i -> g_i)
forall(i,j) a_i_j -> forall(k) g_k
=>
forall(i,j) (a_i_j -> g_i)
"""
if not is_quantified_property(property):
return property
normalized_ass = normalize_conjuncts(property.assumptions)
normalized_gua = normalize_conjuncts(property.guarantees)
binding_indices_ass = _get_indices(normalized_ass)
binding_indices_gua = _get_indices(normalized_gua)
if len(binding_indices_ass) > len(binding_indices_gua):
max_expr, other_expr = normalized_ass, normalized_gua
else:
max_expr, other_expr = normalized_gua, normalized_ass
assert isinstance(max_expr, ForallExpr)
max_binding_indices = max_expr.arg1
ass_newindex_by_old = dict((o, max_binding_indices[i]) for i, o in enumerate(binding_indices_ass))
gua_newindex_by_old = dict((o, max_binding_indices[i]) for i, o in enumerate(binding_indices_gua))
replaced_ass = _replace_indices(ass_newindex_by_old, normalized_ass)
replaced_gua = _replace_indices(gua_newindex_by_old, normalized_gua)
replaced_underlying_ass = replaced_ass.arg2 if is_quantified_expr(replaced_ass) else replaced_ass
replaced_underlying_gua = replaced_gua.arg2 if is_quantified_expr(replaced_gua) else replaced_gua
new_gua = ForallExpr(max_binding_indices,
BinOp('->', replaced_underlying_ass, replaced_underlying_gua))
new_property = SpecProperty([Bool(True)], [new_gua])
return new_property
def _get_automatae(assumptions, guarantees, optimization, cutoff,
ltl2ucw_converter: Ltl2UCW, logger):
#TODO: check which optimizations are used
properties = [SpecProperty(assumptions, [g]) for g in guarantees]
logger.info('original properties:\n%s\n', '\n'.join(map(str, properties)))
archi = TokRingArchitecture()
archi_properties = [
SpecProperty(assumptions, [g]) for g in archi.guarantees()
]
logger.info('architecture properties:\n%s\n',
'\n'.join(map(str, archi_properties)))
if OPTS[optimization] >= OPTS[STRENGTH]:
# we don't need this in case of async_hub since its assumptions implies GF(tok), put it is here for simplicity
properties = [
SpecProperty(p.assumptions + archi.implications(), p.guarantees)
for p in properties
]
properties = properties + archi_properties
scheduler = InterleavingScheduler()
properties = [
SpecProperty(p.assumptions + scheduler.assumptions, p.guarantees)
for p in properties
]
logger.info('after updating with scheduling assumptions:\n%s\n',
'\n'.join(map(str, properties)))
#TODO: add support of using other options without using strengthening
if OPTS[optimization] >= OPTS[STRENGTH]:
logger.info('strengthening properties..')
pseudo_safety_properties, pseudo_liveness_properties = strengthen_many(
properties, ltl2ucw_converter)
properties = pseudo_safety_properties + pseudo_liveness_properties
logger.info(
'strengthening resulted in pseudo_safety_properties (a_s -> g_s):\n%s\n',
'\n'.join(map(str, pseudo_safety_properties)))
logger.info(
'..and in pseudo_liveness_properties (a_s&a_l -> g_l):\n%s\n',
'\n'.join(map(str, pseudo_liveness_properties)))
if OPTS[optimization] >= OPTS[STRENGTH]:
properties = [localize(p) for p in properties]
logger.info('properties after localizing:\n%s\n',
'\n'.join(map(str, properties)))
prop_real_cutoff_pairs = [(p, archi.get_cutoff(p)) for p in properties]
par_global_property_pairs = [(p, c) for (p, c) in prop_real_cutoff_pairs
if c != 2]
par_local_property_pairs = [(p, c) for (p, c) in prop_real_cutoff_pairs
if c == 2]
for (p, c) in par_local_property_pairs:
assert p.assumptions == [Bool(True)]
assert c == 2
if optimization == SYNC_HUB: # removing GF(sch) from one-indexed properties
par_local_property_pairs = [(_replace_sched_by_true(p, scheduler), c)
for (p, c) in par_local_property_pairs]
if optimization == SYNC_HUB:
pass # TODO: should add sync_hub assumptions -- but currently they are added on SMT (Impl) level
if optimization == ASYNC_HUB:
# by definition async_hub_assumptions are one-indexed
async_hub_assumptions = archi.get_async_hub_assumptions()
par_local_property_pairs = [
(localize(SpecProperty(async_hub_assumptions, p.guarantees)), c)
for (p, c) in par_local_property_pairs
]
inst_property_cutoff_pairs = []
for (p, c) in par_global_property_pairs + par_local_property_pairs:
inst_c = min(c, cutoff)
inst_p = inst_property(p, inst_c)
opt_inst_p = apply_log_bit_scheduler_optimization(
inst_p, scheduler, SCHED_ID_PREFIX, inst_c)
inst_property_cutoff_pairs.append((opt_inst_p, c))
local_properties = [p for (p, c) in inst_property_cutoff_pairs if c == 2]
global_property_cutoff_pairs = [(p, min(c, cutoff))
for (p, c) in inst_property_cutoff_pairs
if p not in local_properties]
logger.info('instantiated local properties:\n%s\n', local_properties)
logger.info('instantiated global properties:\n%s\n',
global_property_cutoff_pairs)
local_automaton = None
if len(local_properties) > 0:
local_property = and_properties(local_properties)
local_automaton = ltl2ucw_converter.convert(
expr_from_property(local_property))
glob_automatae_pairs = []
if len(global_property_cutoff_pairs) > 0:
glob_automatae_pairs = [
(ltl2ucw_converter.convert(expr_from_property(p)), c)
for (p, c) in global_property_cutoff_pairs
]
if OPTS[optimization] < OPTS[SYNC_HUB] and local_automaton:
if optimization == ASYNC_HUB:
glob_automatae_pairs += [(local_automaton, 1)]
else:
glob_automatae_pairs += [(local_automaton, 2)]
sync_automaton = None
if OPTS[optimization] >= OPTS[SYNC_HUB]:
sync_automaton = local_automaton
return sync_automaton, glob_automatae_pairs
def visit_binary_op(self, binary_op:BinOp):
if binary_op.name == '=':
if _get_sched_signal(binary_op.arg1, self._scheduler) or _get_sched_signal(binary_op.arg2, self._scheduler):
return Bool(True)
return super().visit_binary_op(binary_op)