Type-theoretic logic with an operational account of intensionality

• Autores: Chris Fox, Shalom Lappin
• Localización: Synthese, ISSN-e 1573-0964, Vol. 192, Nº. 3, 2015, págs. 563-584
• Idioma: inglés
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• Resumen

  • We formulate a Curry-typed logic with fine-grained intensionality within Turner’s typed predicate logic. This allows for an elegant presentation of a theory that corresponds to Fox and Lappin’s property theory with curry typing, but without the need for a federation of languages. We then consider how the fine-grained intensionality of this theory can be given an operational interpretation. This interpretation suggests itself as expressions in the theory can be viewed as terms in the untyped lambda-calculus, which provides a model of computation.