First Order Categorical Logic Model-Theoretical Methods in the Theory of Topoi and Related Categories. Authors: Makkai, M., Reyes, G.E. Free Preview. Michael Makkai, Robert Paré: Accessible categories: the foundations of categorical model theory. Contemporary Mathematics, American Mathematical Society, Providence, RI, viii+ pp. ISBN X; M. Makkai: Duality and Definability in First Order Logic, Memoirs of the American Mathematical Society, , , ISSN · Jean-Yves Girard, Lectures on Logic, European Mathematical Society Jean-Pierre Marquis, Gonzalo Reyes, () The History of Categorical Logic (pdf) Michael Makkai and Gonzalo Reyes, First Order Categorical Logic: Model-theoretical methods in the theory of topoi and related categories, Lecture Notes in Math. Grothendieck topoi --Interpretation of the logic in categories --Axioms and rules of inference valid in categories --Boolean and heyting valued models --Completeness --Existence theorems on geometric morphisms of topoi --Conceptual completeness --Theories as categories --Classifying topoi --Corrections to "first order categorical logic." Series. First Order Categorical Logic Model-Theoretical Methods in the Theory of Topoi and Citations; 6 Mentions; k Downloads; Part of the Lecture Notes in Mathematics book series (LNM, volume ) Log in to check access. Buy eBook. USD Instant download Mathematische Logik Morphism Topos (Math.) category theory. Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more. S. Mac Lane and I. Moerdijk, Sheaves in Geometry and Logic, Springer Universitext (). M. Makkai and G. Reyes, First-order categorical logic, Lecture Notes in Mathematics, Vol. Part of the Lecture Notes in Mathematics book series (LNM, volume ) Keywords Topological Space Complete Lattice Global Section Intuitionistic Logic Congruence Relation. For classical higher-order logic, completeness was established by L.A. Henkin; for the intuitionistic version see. The first to formulate a categorical version of first-order completeness was A. Joyal, who proved that any small coherent category admits an isomorphism-reflecting coherent functor into a power of the category of sets. Mathematical Reviews number (MathSciNet) MR Zentralblatt MATH identifier Subjects Primary: 03G Categorical logic, topoi [See also 18B25, 18C05, 18C10] Secondary: 03B Subsystems of classical logic (including intuitionistic logic) 03C Interpolation, preservation, definability 03F Intuitionistic mathematics. Citation. S. Mac Lane and I. Moerdijk, Logic>, Springer Universitext (). M. Makkai and G. Reyes, First-order categorical logic>, Springer Lecture Notes in Mathematics, Vol. , Springer-Verlag ().
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