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arXiv · 1512.06282

Contributions to the compositional semantics of first-order predicate logic

Philip Kelly·M. H. van Emden
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Abstract

Henkin, Monk and Tarski gave a compositional semantics for first-order predicate logic. We extend this work by including function symbols in the language and by giving the denotation of the atomic formula as a composition of the denotations of its predicate symbol and of its tuple of arguments. In addition we give the denotation of a term as a composition of the denotations of its function symbol and of its tuple of arguments.

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Philip Kelly, M. H. van Emden. 2015-12-19. Contributions to the compositional semantics of first-order predicate logic. https://arxiv.org/abs/1512.06282

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