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The Logic of Choice

Published:2000-09 Issue:3 Volume:65 Page:1264-1310
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Blass Andreas,Gurevich Yuri

Abstract

AbstractThe choice construct (choosex: φ(x)) is useful in software specifications. We study extensions of first-order logic with the choice construct. We prove some results about Hilbert'sεoperator, but in the main part of the paper we consider the case when all choices are independent.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference27 articles.

1. On computable numbers, with an application to the Entscheidungsproblem;Turing;Proceedings of London Mathematical Society,1936

2. Impossibility of an algorithm for the decision problem on finite classes;Trakhtenbrot;Doklady Akad. Nauk,1950

3. Otto Martin [1998], Epsilon-logic is more expressive than first-order logic over finite structures, to appear.

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1. A Logic for P: Are we Nearly There Yet?;ACM SIGLOG News;2024-04

2. Herbrand complexity and the epsilon calculus with equality;Archive for Mathematical Logic;2023-07-29

3. Semantics and Proof Theory of the Epsilon Calculus;Logic and Its Applications;2016-12-03

4. Epsilon-invariant substitutions and indefinite descriptions;Logic Journal of IGPL;2013-02-20

5. Hilbert's epsilon as an operator of indefinite committed choice;Journal of Applied Logic;2008-09

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