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June 2005 Interpreting descriptions in intensional type theory
Jesper Carlström
J. Symbolic Logic 70(2): 488-514 (June 2005). DOI: 10.2178/jsl/1120224725

Abstract

Natural deduction systems with indefinite and definite descriptions (ε-terms and ℩-terms) are presented, and interpreted in Martin-Löf's intensional type theory. The interpretations are formalizations of ideas which are implicit in the literature of constructive mathematics: if we have proved that an element with a certain property exists, we speak of ‘the element such that the property holds' and refer by that phrase to the element constructed in the existence proof. In particular, we deviate from the practice of interpreting descriptions by contextual definitions.

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Jesper Carlström. "Interpreting descriptions in intensional type theory." J. Symbolic Logic 70 (2) 488 - 514, June 2005. https://doi.org/10.2178/jsl/1120224725

Information

Published: June 2005
First available in Project Euclid: 1 July 2005

zbMATH: 1089.03051
MathSciNet: MR2140043
Digital Object Identifier: 10.2178/jsl/1120224725

Rights: Copyright © 2005 Association for Symbolic Logic

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Vol.70 • No. 2 • June 2005
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