Consistency Without Cut Elimination

Kai Bruennler; Alessio Guglielmi

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arXiv · math/0210387

Consistency Without Cut Elimination

Kai Bruennler·Alessio Guglielmi

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Abstract

In this note we will show how to get consistency for first order classical logic, in a purely syntactic way, without going through cut elimination. The procedure is very simple and it uses the calculus of structures in an essential way. It also shows how finitaryness (in the sense of finite choice of premises for each rule) is actually a triviality (contrarily to what one would guess from textbooks).

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BibTeX RIS

Kai Bruennler, Alessio Guglielmi. 2002-10-24. Consistency Without Cut Elimination. https://arxiv.org/abs/math/0210387

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