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A Finite Hilbert-Style Axiomatization of the Implication-Less Fragment of the Intuitionistic Propositional Calculus

✍ Scribed by Jordi Rebagliato; Ventura Verdú


Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
374 KB
Volume
40
Category
Article
ISSN
0044-3050

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✦ Synopsis


Abstract

In this paper we obtain a finite Hilbert‐style axiomatization of the implicationless fragment of the intuitionistic propositional calculus. As a consequence we obtain finite axiomatizations of all structural closure operators on the algebra of {–}‐formulas containing this fragment.

Mathematics Subject Classification: 03B20, 03B22, 06D15.