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Quantifier Elimination for a Class of Intuitionistic Theories
Notre Dame Journal of Formal Logic 49 (3):281-293 (2008)
Abstract
From classical, Fraïissé-homogeneous, ($\leq \omega$)-categorical theories over finite relational languages, we construct intuitionistic theories that are complete, prove negations of classical tautologies, and admit quantifier elimination. We also determine the intuitionistic universal fragments of these theoriesLinks
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Citations of this work
Syntactic Preservation Theorems for Intuitionistic Predicate Logic.Jonathan Fleischmann - 2010 - Notre Dame Journal of Formal Logic 51 (2):225-245.
2009 North American Annual Meeting of the Association for Symbolic Logic.Alasdair Urquhart - 2009 - Bulletin of Symbolic Logic 15 (4):441-464.
On elimination of quantifiers in some non‐classical mathematical theories.Guillermo Badia & Andrew Tedder - 2018 - Mathematical Logic Quarterly 64 (3):140-154.
References found in this work
Countable homogeneous relational structures and ℵ0-categorical theories.C. Ward Henson - 1972 - Journal of Symbolic Logic 37 (3):494 - 500.
Kripke submodels and universal sentences.Ben Ellison, Jonathan Fleischmann, Dan McGinn & Wim Ruitenburg - 2007 - Mathematical Logic Quarterly 53 (3):311-320.
Notions of relative ubiquity for invariant sets of relational structures.Paul Bankston & Wim Ruitenburg - 1990 - Journal of Symbolic Logic 55 (3):948-986.
The Model Completion of the Class of ℒ︁‐Structures.Stanley Burris - 1987 - Mathematical Logic Quarterly 33 (4):313-314.
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