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Titlebook: Decidability of Logical Theories and Their Combination; Jo?o Rasga,Cristina Sernadas Textbook 2020 Springer Nature Switzerland AG 2020 Fir

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發(fā)表于 2025-3-21 18:13:25 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Decidability of Logical Theories and Their Combination
編輯Jo?o Rasga,Cristina Sernadas
視頻videohttp://file.papertrans.cn/265/264163/264163.mp4
概述Provides a comprehensive, self-contained introduction to decidability of first-order theories, using detailed proofs and examples to illustrate and clarify complex concepts.Incorporates computability
叢書名稱Studies in Universal Logic
圖書封面Titlebook: Decidability of Logical Theories and Their Combination; Jo?o Rasga,Cristina Sernadas Textbook 2020 Springer Nature Switzerland AG 2020 Fir
描述This textbook provides a self-contained introduction to decidability of first-order theories and their combination. The technical material is presented in a systematic and universal way and illustrated with plenty of examples and a range of proposed exercises..After an overview of basic first-order logic concepts, the authors discuss some model-theoretic notions like embeddings, diagrams, and elementary substructures. The text then goes on to explore an applicable way to deduce logical consequences from a given theory and presents sufficient conditions for a theory to be decidable. The chapters that follow focus on quantifier elimination, decidability of the combination of first-order theories and the basics of computability theory.?.The inclusion of a chapter on Gentzen calculus, cut elimination, and Craig interpolation, as well as a chapter on combination of theories and preservation of decidability, help to set this volume apart from similar books in the field..Decidability of Logical Theories and their Combination.?is ideal for graduate students of Mathematics and is equally suitable for Computer Science, Philosophy and Physics students who are interested in gaining a deeper un
出版日期Textbook 2020
關(guān)鍵詞First-order logical theories; Decidability of first-order logical theories; Combination of first-order
版次1
doihttps://doi.org/10.1007/978-3-030-56554-1
isbn_softcover978-3-030-56556-5
isbn_ebook978-3-030-56554-1Series ISSN 2297-0282 Series E-ISSN 2297-0290
issn_series 2297-0282
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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Quantifier Elimination,imination to the problem of eliminating an existential quantifier over a quantifier-free formula. Capitalizing on this result, we illustrate how to constructively obtain a quantifier-free formula equivalent to a given formula by proving that the theory of algebraically closed fields has quantifier e
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https://doi.org/10.1007/978-3-030-56554-1First-order logical theories; Decidability of first-order logical theories; Combination of first-order
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978-3-030-56556-5Springer Nature Switzerland AG 2020
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A. Melchiorri,C. Odman,P. Serraormulas and several technical maps and relations. Then, we review semantic concepts like interpretation structure, satisfaction and entailment, as well as useful results like the Lemma of the Closed Formula, the Lemma of Substitution and the Cardinality Theorem (the reader can find more information
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https://doi.org/10.1007/978-3-540-44767-2ves for reasoning with theories are, namely, natural deduction and tableaux, see?[., .] and?[.], respectively) inspired by the presentation in?[.] and in?[.] (see also?[.]) and analyze how to use the calculus for reasoning with theories.?After proving some technical lemmas and providing several exam
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