Proving and disproving assertion rewrite rules with automated theorem provers

Modern assertion languages, such as PSL and SVA, include many constructs that are best handled by rewriting to a small set of base cases. Since previous rewrite attempts have shown that the rules could be quite involved, sometimes counterintuitive, and that they can make a significant difference in the complexity of interpreting assertions, workable procedures for proving the correctness of these rules must be established. In this paper, we outline the methodology for computer-assisted proofs of a set of previously published rewrite rules for PSL properties. We show how to express PSLpsilas syntax and semantics in the PVS theorem prover, and proceed to prove the correctness of a set of thirty rewrite rules. In doing so, we also demonstrate how to circumvent issues with PSL semantics regarding the never and eventually! operators.