Truth, Partial Logic and Infinitary Proof Systems

被引：5
|
作者：
Fischer, Martin [1 ]
Gratzl, Norbert [1 ]
机构：
[1] Ludwig Maximilians Univ Munchen, Munich, Germany
来源：
STUDIA LOGICA | 2018年 / 106卷 / 03期
基金：
欧盟地平线“2020”;
关键词：
Truth; Partial logic; Infinitary proof systems; Axiomatic theories; Minimal fixed-point;
D O I：
10.1007/s11225-017-9751-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we apply proof theoretic methods used for classical systems in order to obtain upper bounds for systems in partial logic. We focus on a truth predicate interpreted in a Kripke style way via strong Kleene; whereas the aim is to connect harmoniously the partial version of Kripke-Feferman with its intended semantics. The method we apply is based on infinitary proof systems containing an omega-rule.
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页码：515 / 540
页数：26
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