Skolemization in intuitionistic logic
| Venue: | Annals of Pure and Applied Logic |
| Citations: | 2 - 2 self |
BibTeX
@ARTICLE{Baaz_skolemizationin,
author = {Matthias Baaz and Rosalie Iemhoff},
title = {Skolemization in intuitionistic logic},
journal = {Annals of Pure and Applied Logic},
year = {},
pages = {2006}
}
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Abstract
In [2] an alternative skolemization method called eskolemization was introduced that is sound and complete for existence logic with respect to existential quantifiers. Existence logic is a conservative extension of intuitionistic logic by an existence predicate. Therefore eskolemization provides a skolemization method for intuitionistic logic as well. All proofs in [2] were semantical. In this paper a proof-theoretic proof of the completeness of eskolemization with respect to existential quantifiers is presented. Keywords: Skolemization, eskolemization, orderization, Herbrand’s theorem, intuitionistic logic, existence logic, Gentzen calculi.
