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By Japaridze Giorgi (-vlnv-c

Abstract

The intuitionistic fragment of computability logic at the propositional level. (English summary) Ann. Pure Appl. Logic 147 (2007), no. 3, 187–227. Summary: “This paper presents a soundness and completeness proof for propositional intuitionistic calculus with respect to the semantics of computability logic. The latter interprets formulas as interactive computational problems, formalized as games between a machine and its environment. Intuitionistic implication is understood as algorithmic reduction in the weakest possible—and hence most natural—sense, disjunction and conjunction as deterministic-choice combinations of problems (disjunction = machine’s choice, conjunction = environment’s choice), and ‘absurd ’ a

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.362.8003
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