A Natural Deduction System for First Degree Entailment
Notre Dame Journal of Formal Logic 40 (2):258-272 (1999)
| 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. | |||||||||
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Allard Tamminga (1994). Logics of Rejection: Two Systems of Natural Deduction. Logique Et Analyse 146:169-208.
Yannis Delmas-Rigoutsos (1997). A Double Deduction System for Quantum Logic Based on Natural Deduction. Journal of Philosophical Logic 26 (1):57-67.
Ross Thomas Brady (forthcoming). Free Semantics. Journal of Philosophical Logic.
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