Propositional logic formulas containing implications can suffer from antecedent failure, in which the formula is true trivially because the precondition of the implication is not satisfiable. In other words, the post-condition of the implication does not affect the truth value of the formula. We call this a vacuous pass, and extend the definition of vacuity to cover other kinds of trivial passes in temporal logic. We define w-ACTL, a subset of CTL and show by construction that for every w-ACTL formula !a there is a formula w(~), such that: both and w(~) are true in some model M iff ~ passes vacuously. A useful side-effect of w(~) is that if false, any counterexample is also a non-trivial witness of the original formula ~.
We consider the problem of reasoning with linear temporal logic on truncated paths. A truncated path is a path that is finite, but not necessarily maximal. Truncated paths arise naturally in several areas, among which are incomplete verification methods (such as simulation or bounded model checking) and hardware resets. We present a formalism for reasoning about truncated paths, and analyze its characteristics.
RuleBase is a formal verification tool, developed by the lBM HaifaResearch Laboratory, It is the result of three years of experience in practical formal verification of hardware which, we believe, has been a key factor in bringing the tool to its current level of maturity. We present the tool, including several unique features, and summarize our usage experience.
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