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Titlebook: Sheaves, Games, and Model Completions; A Categorical Approa Silvio Ghilardi,Marek Zawadowski Book 2002 Springer Science+Business Media B.V.

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发表于 2025-3-21 18:52:29 | 显示全部楼层 |阅读模式
书目名称Sheaves, Games, and Model Completions
副标题A Categorical Approa
编辑Silvio Ghilardi,Marek Zawadowski
视频video
概述Includes supplementary material:
丛书名称Trends in Logic
图书封面Titlebook: Sheaves, Games, and Model Completions; A Categorical Approa Silvio Ghilardi,Marek Zawadowski Book 2002 Springer Science+Business Media B.V.
描述This book is an example of fruitful interaction between (non-classical) propo­ sitionallogics and (classical) model theory which was made possible due to categorical logic. Its main aim consists in investigating the existence of model­ completions for equational theories arising from propositional logics (such as the theory of Heyting algebras and various kinds of theories related to proposi­ tional modal logic ). The existence of model-completions turns out to be related to proof-theoretic facts concerning interpretability of second order propositional logic into ordinary propositional logic through the so-called ‘Pitts‘ quantifiers‘ or ‘bisimulation quantifiers‘. On the other hand, the book develops a large number of topics concerning the categorical structure of finitely presented al­ gebras, with related applications to propositional logics, both standard (like Beth‘s theorems) and new (like effectiveness of internal equivalence relations, projectivity and definability of dual connectives such as difference). A special emphasis is put on sheaf representation, showing that much of the nice categor­ ical structure of finitely presented algebras is in fact only a restriction of na
出版日期Book 2002
关键词Interpolation; logic; modal logic; model theory; proof; simulation
版次1
doihttps://doi.org/10.1007/978-94-015-9936-8
isbn_softcover978-90-481-6036-5
isbn_ebook978-94-015-9936-8Series ISSN 1572-6126 Series E-ISSN 2212-7313
issn_series 1572-6126
copyrightSpringer Science+Business Media B.V. 2002
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Book 2002ew (like effectiveness of internal equivalence relations, projectivity and definability of dual connectives such as difference). A special emphasis is put on sheaf representation, showing that much of the nice categor­ ical structure of finitely presented algebras is in fact only a restriction of na
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1572-6126 such as difference). A special emphasis is put on sheaf representation, showing that much of the nice categor­ ical structure of finitely presented algebras is in fact only a restriction of na978-90-481-6036-5978-94-015-9936-8Series ISSN 1572-6126 Series E-ISSN 2212-7313
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Silvio Ghilardi,Marek Zawadowskihesis of arginine uses citrulline as a precursor which, in turn, can be supplied from intestinal glutamine metabolism (Saitoh et al. J Toxicol Sci 39:41–50, 2014). Besides dietary intake, several factors affect the bioavailability of dietary arginine, such as the levels of lysine, manganese, n-3 fat
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Silvio Ghilardi,Marek Zawadowskiponent of proteins but also a molecule that can generate a number of active metabolites (Fig. 12.1): arginine may be the precursor of nitric oxide (NO, which is essential for the immune system), of ornithine (which is recognized as a polyamine precursor), or of agmatine (which is a major regulator o
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ion. Evidence shows that changes in the extracellular environment regulate the expression and activity of .-arginine transporters in order to maintain amino acid uptake, especially for the fine-tuning of NO bioavailability. In other words, the regulation of .-arginine transporters could be a key fac
发表于 2025-3-23 02:36:20 | 显示全部楼层
Introduction,to categorical logic. Its main aim consists in investigating the existence of model-completions for equational theories arising from propositional logics (such as the theory of Heyting algebras and various kinds of theories related to propositional modal logic). The existence of model-completions tu
发表于 2025-3-23 07:22:21 | 显示全部楼层
Preliminary Notions,antics for propositional logics. They are usually obtained by enriching posets by some algebraic operations. We are mainly interested in Hey ting and modal algebras i.e. those algebras that provide counterparts of superintuitionistic and modal logics.
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