On some proof theoretical properties of the modal logic GL (Q798649)
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: On some proof theoretical properties of the modal logic GL |
scientific article; zbMATH DE number 3871326
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some proof theoretical properties of the modal logic GL |
scientific article; zbMATH DE number 3871326 |
Statements
On some proof theoretical properties of the modal logic GL (English)
0 references
1983
0 references
GL is the propositional modal logic complete under the interpretation of necessity as provability in first-order arithmetic. The cut elimination proof for GL given by \textit{D. Leivant} [J. Symb. Logic 46, 531--538 (1981; Zbl 0464.03019)] contained a gap repaired by \textit{S. Valentini} [J. Philos. Logic 12, 471--476 (1983; Zbl 0535.03031)]. The author presents another cut elimination proof.
0 references
GL
0 references
propositional modal logic
0 references
cut elimination
0 references
0.93006927
0 references
0.9288223
0 references
0.91918874
0 references
0.91564643
0 references
0.9110076
0 references
0.9058794
0 references
0.9051208
0 references
