The dimension of the negation of transitive closure-Reference-Cited by-同舟云学术

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The dimension of the negation of transitive closure

Published:1995-06 Issue:2 Volume:60 Page:392-414
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

McColm Gregory L.

Abstract

AbstractWe prove that any positive elementary (least fixed point) induction expressing the negation of transitive closure on finite nondirected graphs requires at least two recursion variables.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference26 articles.

1. Grohe M. [1993], Bounded-arity hierarchies in fixedpoint logic, Ph.D.thesis, Universität Freiburg, Freiburg, 1993.

2. Stolboushkin A. P. [1994], Finitely monotone properties, unpublished manuscript.

3. A programming language for the inductive sets, and applications

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Degrees of monotonicity of spatial transformations;Database Programming Languages;1998

2. Towards Recursive Model Theory;Logic Colloquium ’95;1998

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