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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.Author Profiles
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Citations of this work
Natural deduction systems for Nelson's paraconsistent logic and its neighbors.Norihiro Kamide - 2005 - Journal of Applied Non-Classical Logics 15 (4):405-435.
References found in this work
Intuitive semantics for first-degree entailments and 'coupled trees'.J. Michael Dunn - 1976 - Philosophical Studies 29 (3):149-168.
The semantics of first degree entailment.Richard Routley & Valerie Routley - 1972 - Noûs 6 (4):335-359.
Begründung einer strengen Implikation.Wilhelm Ackermann - 1956 - Journal of Symbolic Logic 21 (2):113-128.
Simplified semantics for basic relevant logics.Graham Priest & Richard Sylvan - 1992 - Journal of Philosophical Logic 21 (2):217 - 232.
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