A natural deduction system for first degree entailment
Notre Dame Journal of Formal Logic 40 (2):258-272 (1999)
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| 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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| Keywords | 440106 Logic CX 780199 Other |
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| DOI | 10.1305/ndjfl/1038949541 |
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References found in this work BETA
Logics of Rejection: Two Systems of Natural Deduction.Allard Tamminga - 1994 - Logique Et Analyse 146:169-208.
Simplified Semantics for Basic Relevant Logics.Graham Priest & Richard Sylvan - 1992 - Journal of Philosophical Logic 21 (2):217 - 232.
A Two-Valued Logic for Reasoning About Different Types of Consequence in Kleene's Three-Valued Logic.Beata Konikowska - 1990 - Studia Logica 49 (4):541 - 555.
Citations of this work BETA
Natural Deduction Systems for Nelson's Paraconsistent Logic and its Neighbors.Norihiro Kamide - 2005 - Journal of Applied Non-Classical Logics 15 (4):405-435.
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