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Intuitionistic completeness for first order classical logic

Published online by Cambridge University Press:  12 March 2014

Stefano Berardi
Stefano Berardi*
Affiliation:
Dipartimento di Informatica Dell'Università di Torino, C.SO Svizzera 185, 10149 Torino, Italy E-mail: stefano@di.unito.it
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Abstract

In the past sixty years or so, a real forest of intuitionistic models for classical theories has grown. In this paper we will compare intuitionistic models of first order classical theories according to relevant issues, like completeness (w.r.t. first order classical provability), consistency, and relationship between a connective and its interpretation in a model. We briefly consider also intuitionistic models for classical ω-logic.

All results included here, but a part of the proposition (a) below, are new. This work is, ideally, a continuation of a paper by McCarty, who considered intuitionistic completeness mostly for first order intuitionistic logic.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 64 , Issue 1 , March 1999 , pp. 304 - 312
Copyright
Copyright © Association for Symbolic Logic 1999

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References

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