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Gentzen-type axiomatization for PAL

Journal Article journal-article Computer Science ยท Theoretical Computer Science

Abstract

The aim of propositional algorithmic logic (PAL) is to investigate the properties of simple nondeterministic while-program schemes on propositional level. We present finite, cut-free, Gentzen-type axiomatization of PAL. As a corollary from completeness theorem, we obtain the small-model theorem and algorithm for checking the validity of PAL formulas.

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Context

Venue
Theoretical Computer Science
Archive span
1975-2026
Indexed papers
16261
Paper id
138353173203283771
v2026.09.13