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Spring 1999 A Natural Deduction System for First Degree Entailment
Allard M. Tamminga, Koji Tanaka
Notre Dame J. Formal Logic 40(2): 258-272 (Spring 1999). DOI: 10.1305/ndjfl/1038949541

Abstract

This paper is concerned with a natural deduction system for First Degree Entailment (FDE). First, we exhibit a brief history of FDE and of combined systems whose underlying idea is used in developing the natural deduction system. Then, after presenting the language and a semantics of FDE, we develop a natural deduction system for FDE. We then prove soundness and completeness of the system with respect to the semantics. The system neatly represents the four-valued semantics for FDE.

Citation Download Citation

Allard M. Tamminga. Koji Tanaka. "A Natural Deduction System for First Degree Entailment." Notre Dame J. Formal Logic 40 (2) 258 - 272, Spring 1999. https://doi.org/10.1305/ndjfl/1038949541

Information

Published: Spring 1999
First available in Project Euclid: 3 December 2002

zbMATH: 0967.03018
MathSciNet: MR1816893
Digital Object Identifier: 10.1305/ndjfl/1038949541

Subjects:
Primary: 03B47

Rights: Copyright © 1999 University of Notre Dame

Vol.40 • No. 2 • Spring 1999
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