David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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Studia Logica 47 (3):279 - 301 (1988)
The main result of this paper belongs to the field of the comparative study of program verification methods as well as to the field called nonstandard logics of programs. We compare the program verifying powers of various well-known temporal logics of programs, one of which is the Intermittent Assertions Method, denoted as Bur. Bur is based on one of the simplest modal logics called S5 or sometime-logic. We will see that the minor change in this background modal logic increases the program verifying power of Bur. The change can be described either technically as replacing the reflexive version of S5 with an irreflexive version, or intuitively as using the modality some-other-time instead of sometime. Some insights into the nature of computational induction and its variants are also obtained.
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References found in this work BETA
Leon Henkin (1950). Completeness in the Theory of Types. Journal of Symbolic Logic 15 (2):81-91.
Leon Henkin (1950). Review: Laszlo Kalmar, Une Forme du Theoreme de Godel Sous des Hypotheses Minimales; Laszlo Kalmar, Quelques Formes Generales du Theoreme de Godel. [REVIEW] Journal of Symbolic Logic 15 (3):230-230.
Citations of this work BETA
Yde Venema (1993). Derivation Rules as Anti-Axioms in Modal Logic. Journal of Symbolic Logic 58 (3):1003-1034.
Maarten Marx, Szabolcs Mikul & István Németi (1995). Taming Logic. Journal of Logic, Language and Information 4 (3):207-226.
Balázs Biró & Ildikó Sain (1993). Peano Arithmetic as Axiomatization of the Time Frame in Logics of Programs and in Dynamic Logics. Annals of Pure and Applied Logic 63 (3):201-225.
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