Completeness theorems for two propositional logics in which identity diverges from mutual entailment

Notre Dame Journal of Formal Logic 22 (3):269-282 (1981)
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Abstract

Anderson and Belnap devise a model theory for entailment on which propositional identity equals proposional coentailment. This feature can be reasonably questioned. The authors devise two extensions of Anderson and Belnap’s model theory. Both systems preserve Anderson and Belnap’s results for entailment, but distinguish coentailment from identity.

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What is the Logic of Propositional Identity?Charles Sayward - 2006 - Logic and Logical Philosophy 15 (1):3-15.
The Pure Calculus of Entailment.Alan Ross Anderson & Nuel D. Belnap - 1962 - Journal of Symbolic Logic 27 (1):19-52.

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Author Profiles

Philip Hugly
University of California, Berkeley (PhD)
Charles Sayward
University of Nebraska, Lincoln

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