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The Logic of Choice

Published online by Cambridge University Press:  12 March 2014

Andreas Blass  and
Yuri Gurevich
Andreas Blass
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, Mi 48109-1109, E-mail: ablass@math.lsa.umich.edu
Yuri Gurevich
Affiliation:
Microsoft Research, One Microsoft Way, Redmond, WA 98052 (on leave of absence from)Department of Eecs, University of Michigan, Ann Arbor, Michigan E-mail: gurevich@microsoft.com
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Abstract

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

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 3 , September 2000 , pp. 1264 - 1310
Copyright
Copyright © Association for Symbolic Logic 2000

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