English

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

Logic in Computer Science 2013-02-05 v1 Logic

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 previous) Part I containing preliminaries and a soundness proof, and (the present) Part II containing a completeness proof.

Keywords

Cite

@article{arxiv.1106.3705,
  title  = {The taming of recurrences in computability logic through cirquent calculus, Part II},
  author = {Giorgi Japaridze},
  journal= {arXiv preprint arXiv:1106.3705},
  year   = {2013}
}