Technical Report CS0395

Title: On the Equivalence of Weak Second Order and Non-Standard Time Semantics for Various Program Verification Systems
Authors: J.A. Makowsky and I. Sain
Abstract: We show how to derive Leivant s characterization of Floyd-Hoare Logic in weak second order logic ([LB5]) directly from Csirmaz's characterization of Floyd-Hoare logic in Nonstandard Logics of Programs ([Cs80]). Our method allows us to spell out the precise role of the comprehension axiom in weak second order logic. We then prove similar results for other program verification systems (suggested by Burstall and Pnueli) and identify exactly the comprehension axioms corresponding to those systems.
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