On duality and model theory for polyadic spaces
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Publication:6139255
DOI10.1016/j.apal.2023.103388arXiv2210.01018OpenAlexW4306246421MaRDI QIDQ6139255
Samuel J. van Gool, Jérémie Marquès
Publication date: 18 December 2023
Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.01018
Categorical logic, topoi (03G30) Classical first-order logic (03B10) Stone spaces (Boolean spaces) and related structures (06E15) Interpolation, preservation, definability (03C40) Subsystems of classical logic (including intuitionistic logic) (03B20)
Cites Work
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- Generalising canonical extension to the categorical setting
- On the axiomatisability of the dual of compact ordered spaces
- Categories of topological spaces and scattered theories
- Amalgamation and interpolation in the category of Heyting algebras
- An application of open maps to categorical logic
- Ordered sets R and Q as bases of Kripke models
- Sheaves in geometry and logic: a first introduction to topos theory
- Completeness theorem for Dummett's LC quantified and some of its extensions
- First order categorical logic. Model-theoretical methods in the theory of topoi and related categories
- Heyting algebras. Duality theory. Translated from the Russian by A. Evseev
- Sheaves and duality
- Polyadic sets and homomorphism counting
- Polyadic spaces and profinite monoids
- Stably compact spaces
- A 2-Categories Companion
- HYPERDOCTRINES, NATURAL DEDUCTION AND THE BECK CONDITION
- Accessible Categories: The Foundations of Categorical Model Theory
- Adjointness in Foundations
- POSITIVE MODEL THEORY AND COMPACT ABSTRACT THEORIES
- Spectral Spaces
- SPACES OF TYPES IN POSITIVE MODEL THEORY
- Canonical Extensions, Esakia Spaces, and Universal Models
- Theories of presheaf type
- Categories and Sheaves
- Representation of Distributive Lattices by means of ordered Stone Spaces
- The representation of Boolean algebras
- A proof of the completeness theorem of Grödel
- Completely Distributive Complete Lattices
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