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Soundness and completeness of the cirquent calculus system CL6 for computability logic

2011/06/12 by Wenyan Xu, Sanyang Liu, Xu, Wenyan +1
Computer Science · #Computability, Logic, AI Algorithms #FOS: Computer and information sciences #Logic in Computer Science (cs.LO) #Logic, Reasoning, and Knowledge #Logic, programming, and type systems

paper · pdf · doi:10.48550/arxiv.1106.2272

openalex publication_date 2011/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Computability logic is a formal theory of computability. The earlier article "Introduction to cirquent calculus and abstract resource semantics" by Japaridze proved soundness and completeness for the basic fragment CL5 of computability logic. The present article extends that result to the more expressive cirquent calculus system CL6, which is a conservative extension of both CL5 and classical propositional logic.

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