A system for proper multiple-conclusion entailment

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چکیده

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A System for Proper Multiple-conclusion Entailment

The concept of proper multiple-conclusion entailment is introduced. For any sets X, Y of formulas, we say that Y is properly mc-entailed by X iff Y is mc-entailed by X, but no A ∈ Y is single-conclusion entailed by X. The concept has a natural interpretation in terms of question evocation. A sound and complete axiom system for the propositional case of proper mc-entailment is presented.

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Forum: a Multiple-conclusion Speciication Logic

The theory of cut-free sequent proofs has been used to motivate and justify the design of a number of logic programming languages. Two such languages, Prolog and its linear logic reenement, Lolli 15], provide for various forms of abstraction (modules, abstract data types, and higher-order programming) but lack primitives for concurrency. The logic programming language, LO (Linear Objects) 2] pr...

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ژورنال

عنوان ژورنال: Logic and Logical Philosophy

سال: 2015

ISSN: 2300-9802,1425-3305

DOI: 10.12775/llp.2015.001