A cut-free Gentzen-type system for the logic of the weak law of excluded middle (Q1100191)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A cut-free Gentzen-type system for the logic of the weak law of excluded middle |
scientific article; zbMATH DE number 4041875
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A cut-free Gentzen-type system for the logic of the weak law of excluded middle |
scientific article; zbMATH DE number 4041875 |
Statements
A cut-free Gentzen-type system for the logic of the weak law of excluded middle (English)
0 references
1986
0 references
The first order intermediate logic of the weak law of excluded middle \(\neg A\vee \neg \neg A\) is formulated in a Gentzen-type system, for which the cut elimination theorem is proved by the usual constructive method. As consequences the author gives the interpolation theorem, the decidability of the propositional part and so on.
0 references
proof theory
0 references
sequent calculus
0 references
intermediate logic
0 references
weak law of excluded middle
0 references
Gentzen-type system
0 references
cut elimination
0 references
interpolation theorem
0 references
0 references
