def check_automaton_edge_covering(s: Solver, a: AutomatonDecl) -> None: utils.logger.always_print('checking automaton edge covering:') prog = syntax.the_program t = s.get_translator(KEY_NEW, KEY_OLD) for phase in a.phases(): utils.logger.always_print(' checking phase %s:' % phase.name) with s: for inv in phase.invs(): s.add(t.translate_expr(inv.expr, old=True)) for trans in prog.transitions(): if any(delta.transition == trans.name and delta.precond is None for delta in phase.transitions()): utils.logger.always_print(' transition %s is covered trivially.' % trans.name) continue utils.logger.always_print(' checking transition %s is covered... ' % trans.name, end='') with s: s.add(t.translate_transition(trans)) s.add(z3.And(*(z3.Not(t.translate_precond_of_transition(delta.precond, trans)) for delta in phase.transitions() if trans.name == delta.transition))) logic.check_unsat([(phase.tok, 'transition %s is not covered by this phase' % (trans.name, )), (trans.tok, 'this transition misses transitions from phase %s' % (phase.name,))], s, [KEY_OLD, KEY_NEW])
def check_automaton_inductiveness(s: Solver, a: AutomatonDecl) -> None: utils.logger.always_print('checking automaton inductiveness:') prog = syntax.the_program t = s.get_translator(KEY_NEW, KEY_OLD) for phase in a.phases(): utils.logger.always_print(' checking phase %s:' % phase.name) with s: for inv in phase.invs(): s.add(t.translate_expr(inv.expr, old=True)) for delta in phase.transitions(): trans = prog.scope.get_definition(delta.transition) assert trans is not None precond = delta.precond target = prog.scope.get_phase( delta.target) if delta.target is not None else phase assert target is not None trans_pretty = '(%s, %s)' % (trans.name, str(precond) if (precond is not None) else 'true') utils.logger.always_print(' checking transition: %s' % trans_pretty) with s: s.add(t.translate_transition(trans, precond=precond)) for inv in target.invs(): with s: s.add(z3.Not(t.translate_expr(inv.expr))) if inv.tok is not None: msg = ' on line %d' % inv.tok.lineno else: msg = '' utils.logger.always_print( ' preserves invariant%s... ' % msg, end='') sys.stdout.flush() logic.check_unsat([ (inv.tok, 'invariant%s may not be preserved by transition %s in phase %s' % (msg, trans_pretty, phase.name)), (delta.tok, 'this transition may not preserve invariant%s' % (msg, )) ], s, [KEY_OLD, KEY_NEW])