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.
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