Results 21 to 30 of about 2,374,826 (325)
Lax orthogonal factorisations in monad-quantale-enriched categories [PDF]
Logical Methods in Computer Science, 2017 We show that, for a quantale $V$ and a $\mathsf{Set}$-monad $\mathbb{T}$ laxly extended to $V$-$\mathsf{Rel}$, the presheaf monad on the category of $(\mathbb{T},V)$-categories is simple, giving rise to a lax orthogonal factorisation system (lofs) whose ...
Maria Manuel Clementino +1 more
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Axioms, 2021 It is well known that Zermelo-Fraenkel Set Theory (ZF), despite its usefulness as a foundational theory for mathematics, has two unwanted features: it cannot be written down explicitly due to its infinitely many axioms, and it has a countable model due ...
Marcoen J. T. F. Cabbolet
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The Axiomatic Approach to Non-Classical Model Theory
Mathematics, 2022 Institution theory represents the fully axiomatic approach to model theory in which all components of logical systems are treated fully abstractly by reliance on category theory. Here, we survey some developments over the last decade or so concerning the
Răzvan Diaconescu
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Type theories in category theory
CoRR, 2021 We introduce basic notions in category theory to type theorists, including comprehension categories, categories with attributes, contextual categories, type categories, and categories with families along with additional discussions that are not very closely related to type theories by listing definitions, lemmata (with detailed, diagram-rich proofs ...
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Does God Think the Same Way We Do? On the Logical Apophatism of Michał Heller
Verbum Vitae, 2023 Apophatic theology is an approach in theology that emphasizes the limitation of human language and concepts in describing the nature of the Divine. Rooted in ancient religious traditions, apophatic theology has gained attention in contemporary discourse
Wojciech Grygiel
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Conflict Resolution in Mechatronic Collaborative Design Using Category Theory
Applied Sciences, 2021 Due to the multitude of disciplines involved in mechatronic design, heterogeneous languages and expert models are used to describe the system from different domain-specific views. Despite their heterogeneity, these models are highly interrelated.
Mouna Fradi +4 more
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Dualizability in Low-Dimensional Higher Category Theory [PDF]
, 2013 These lecture notes form an expanded account of a course given at the Summer School on Topology and Field Theories held at the Center for Mathematics at the University of Notre Dame, Indiana during the Summer of 2012.
Schommer-Pries, Christopher
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Rewriting techniques for relative coherence [PDF]
Logical Methods in Computer ScienceA series of works has established rewriting as an essential tool in order to prove coherence properties of algebraic structures, such as MacLane's coherence theorem for monoidal categories, based on the observation that, under reasonable assumptions ...
Samuel Mimram
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Two Constructivist Aspects of Category Theory
Philosophia Scientiæ, 2006 Category theory has two unexpected links to constructivism: First, why is topos logic so close to intuitionistic logic? The paper argues that in part the resemblance is superficial, in part it is due to selective attention, and in part topos theory is ...
Colin McLarty
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Self-move and Other-move: Quantum Categorical Foundations of Japanese [PDF]
Journal of Interdisciplinary Sciences, 2023 This work contributes toward the larger goal of creating a Quantum Natural Language Processing (QNLP) translation program. It contributes original diagrammatic representations of the Japanese language based on previous work on the English language ...
Ryder Dale Walton
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