Verification of Transition System Reduction via PVS (original) (raw)

Abstract

We formally verify the correctness of Transition System Reduction (TSR), an algorithm used in modelcheckers for temporal logics. Formalizing TSR as a function, we formulate and prove its correctness within the proof assistant PVS. We show how to use a well-ordering on a certain set in a termination proof for the loop-based TSR algorithm. We further detail TSR's partial-correctness proof. The formal framework for these proofs is a part of our research for a rigorous verification environment for reactive systems.