Context-Bounded Verification of Liveness: D Proofs for Section 5.3

cover
15 Mar 2024

This paper is available on arxiv under CC BY-NC-SA 4.0 DEED license.

Authors:

(1) Pascal Baumann, Max Planck Institute for Software Systems (MPI-SWS), Germany;

(2) Rupak Majumdar, Max Planck Institute for Software Systems (MPI-SWS), Germany;

(3) Ramanathan S. Thinniyam, Max Planck Institute for Software Systems (MPI-SWS), Germany;

(4) Georg Zetzsche, Max Planck Institute for Software Systems (MPI-SWS), Germany.

D PROOFS FOR SECTION 5.3

The proofs of Lemmas 5.4 and 5.5 both assume that the VASSB considered is both zero-base (by Lemma C.7) and typed (by Lemma C.6). Further, the notion of runs-with-id introduced in Appendix C is used in the proof of Lemma 5.4.

D.1 Proof of Lemma 5.4

D.2 Proof of Lemma 5.5