Remarks on applicative theories

Annals of Pure and Applied Logic 136 (1-2):91-115 (2005)
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Abstract

We deal with applicative theories which are based on combinatory logic with total application, extensionality and natural numbers. We prove a conservative extension theorem and two consistency results, involving principles of uniformity, reflection, enumeration and choice

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Andrea Cantini
Università degli Studi di Firenze

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References found in this work

Constructivism in mathematics: an introduction.A. S. Troelstra - 1988 - New York, N.Y.: Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.. Edited by D. van Dalen.
Totality in applicative theories.Gerhard Jäger & Thomas Strahm - 1995 - Annals of Pure and Applied Logic 74 (2):105-120.
Feasible Operations and Applicative Theories Based on λη.Andrea Cantini - 2000 - Mathematical Logic Quarterly 46 (3):291-312.
Some results on extensionality in lambda calculus.Benedetto Intrigila & Richard Statman - 2005 - Annals of Pure and Applied Logic 132 (2-3):109-125.

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