The taming of recurrences in computability logic through cirquent calculus, Part I

Giorgi Japaridze

doi:10.1007/s00153-012-0313-8

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arXiv · 1105.3853

The taming of recurrences in computability logic through cirquent calculus, Part I

Giorgi Japaridze

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Abstract

This paper constructs a cirquent calculus system and proves its soundness and completeness with respect to the semantics of computability logic (see http://www.cis.upenn.edu/~giorgi/cl.html). The logical vocabulary of the system consists of negation, parallel conjunction, parallel disjunction, branching recurrence, and branching corecurrence. The article is published in two parts, with (the present) Part I containing preliminaries and a soundness proof, and (the forthcoming) Part II containing a completeness proof.

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Giorgi Japaridze. 2012-09-19. The taming of recurrences in computability logic through cirquent calculus, Part I. https://doi.org/10.1007/s00153-012-0313-8

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