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arXiv · 1707.04823

Elementary-base cirquent calculus I: Parallel and choice connectives

Giorgi Japaridze
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Abstract

Cirquent calculus is a proof system manipulating circuit-style constructs rather than formulas. Using it, this article constructs a sound and complete axiomatization CL16 of the propositional fragment of computability logic (the game-semantically conceived logic of computational problems - see http://www.csc.villanova.edu/~japaridz/CL/ ) whose logical vocabulary consists of negation and parallel and choice connectives, and whose atoms represent elementary, i.e. moveless, games.

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Giorgi Japaridze. 2017-07-16. Elementary-base cirquent calculus I: Parallel and choice connectives. https://arxiv.org/abs/1707.04823

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