A Natural Deduction System for First Degree Entailment
نویسندگان
چکیده
منابع مشابه
A Natural Deduction System for First Degree Entailment
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 ...
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We uncover a ‘naturally occurring’ first-degree system, AL of Articular Logic that is both relevant and paraconsistent. The principal semantic innovation is an informationally articulated, but nevertheless entirely classical representation of wffs as simple hypergraphs on the power set of a set of possible states. The principal methodological novelty is the general observation that distinct cla...
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We present a proof-searching algorithm for the classical first order natural deduction calculus and prove its correctness. For any given task (if this task is indeed solvable), a searching algorithm terminates, either finding a corresponding natural deduction proof or giving a set of constraints, from which a counter-example can be extracted. Proofs of the properties which characterize correctn...
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This is a companion paper to [6] where a natural deduction system for propositional hybrid logic is given. In the present paper we generalize the system to the first-order case. Our natural deduction system for first-order hybrid logic can be extended with additional inference rules corresponding to conditions on the accessibility relations and the quantifier domains expressed by so-called geom...
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Here is apuzzle,which I learned fromTerenceParsons inhis “TrueContradictions” [6]. First Degree Entailment (fde) is a logic which allows for truth value gaps as well as truth value gluts. If you are agnostic between assigning paradoxical sentences gaps and gluts (and there seems to be no very good reason to prefer gaps over gluts or gluts over gaps if you’re happy with fde), then this looks no ...
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 1999
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1038949541