Consistency Without Cut Elimination
逻辑
2007-05-23 v1
摘要
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).
引用
@article{arxiv.math/0210387,
title = {Consistency Without Cut Elimination},
author = {Kai Bruennler and Alessio Guglielmi},
journal= {arXiv preprint arXiv:math/0210387},
year = {2007}
}
备注
Home page of the Calculus of Structures: <http://www.ki.inf.tu-dresden.de/~guglielm/Research>