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Logic in Category Theory

2011
Logic already spanned a great range of topics before the birth of categorical logic. Some celebrated results achieved in logic during the first half of the twentieth century are milestones in the understanding of mathematical relations between syntactic, semantic and algorithmic aspects of the structure of language and reasoning.
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Category theory

2022
S. Breiner   +2 more
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A n theory, L.S. category, and strong category

Mathematische Zeitschrift, 2007
For every space \(X\) there is a Ganea-Svarz fibration \((\Omega X)^{*(n+1)}\to B_n\Omega X \to X\), and it is clear that the functor \(B_n\Omega\) is a comonad. The author introduces the notion of a weak homotopy space over \(B_n\Omega\) and proves that if \(X\) admits such a structure, then cat(\(X\))=Cat(\(X\)) under some dimensional and ...
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Tamarkin Category Theory

2020
In this chapter, we define and then study in detail Tamarkin categories. A Tamarkin category is defined as a categorical orthogonal complement, and the elements in a Tamarkin category can be completely characterized by a sheaf operator - sheaf convolution.
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Automating Free Logic in HOL, with an Experimental Application in Category Theory

Journal of automated reasoning, 2019
Christoph Benzmüller, D. Scott
semanticscholar   +1 more source

Lipid nanoparticles for mRNA delivery

Nature Reviews Materials, 2021
Xucheng Hou   +2 more
exaly  

Basic Category Theory

1992
Abstract If asked for a single reason for the attention that category theory, at least as a language, enjoys in some areas of computer science, I wou its attraction stems from being a foundational theory of fun ld guess that ctions which provides a sound basis for (functional) programming and programming logic.
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Transformations of Software Product Lines: A Generalizing Framework Based on Category Theory

ACM/IEEE International Conference on Model Driven Engineering Languages and Systems, 2017
G. Taentzer   +3 more
semanticscholar   +1 more source

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