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The Gödel Completeness Theorem for Uncountable Languages Cover

The Gödel Completeness Theorem for Uncountable Languages

Open Access
|Feb 2013

Abstract

This article is the second in a series of two Mizar articles constituting a formal proof of the Gödel Completeness theorem [15] for uncountably large languages. We follow the proof given in [16]. The present article contains the techniques required to expand a theory such that the expanded theory contains witnesses and is negation faithful. Then the completeness theorem follows immediately.

DOI: https://doi.org/10.2478/v10037-012-0023-z | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 199 - 203
Published on: Feb 2, 2013
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2013 Julian J. Schlöder, Peter Koepke, published by University of Białystok
This work is licensed under the Creative Commons License.