New sequent calculi for Visser's Formal Propositional Logic

被引:1
|
作者
Ishii, K [1 ]
机构
[1] Japan Adv Inst Sci & Technol, Sch Informat Sci, Tatsunokuchi, Ishikawa 9231211, Japan
关键词
Formal Propositional Logic; sequent calculus; cut-elimination theorem; interpolation theorem;
D O I
10.1002/malq.200310056
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Two cut-free sequent calculi which are conservative extensions of Visser's Formal Propositional Logic (FPL) are introduced. These satisfy a kind of subformula property and by this property the interpolation theorem for FPL are proved. These are analogies to Aghaei-Ardeshir's calculi for Visser's Basic Propositional Logic.
引用
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页码:525 / 535
页数:11
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