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出版社:科學
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ISBN:9787030228994
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作者:Guo-Jun Wang//Hong-Jun Zhou
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頁數:335
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出版日期:2009-01-01
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印刷日期:2009-01-01
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包裝:精裝
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開本:16開
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版次:1
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印次:1
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Guo-Jun Wang、Hong-Jun Zhou著的《數理邏輯 引論與歸結原理(英文版)(精)》在第一版的基礎 上進行修訂再版,全書共9章,內容可分為Boole代數 理論,命題演算與謂詞演算理論,歸結原理理論,多 值邏輯的最新理論等4部分。同時,在第一版的基礎 上對“計量邏輯學”,關於一階繫統K完備性的證明 等諸多內容做了補充或改寫。 本書可供計算機專業、應用數學專業、人工智能 專業的研究生與高年級本科生及教師閱讀。
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Preface Chapter 1 Preliminaries 1.1 Partially ordered sets 1.2 Lattices 1.3 Boolean algebras Chapter 2 Propositional Calculus 2.1 Propositions and their symbolization 2.2 Semantics of propositional calculus 2.3 Syntax of propositional calculus Chapter 3 Semantics of First Order Predicate Calculus 3.1 First order languages 3.2 Interpretations and logically valid formulas 3.3 Logical equivalences Chapter 4 Syntax of First Order Predicate Calculus 4.1 The formal system KL 4.2 Provable equivalence relations 4.3 Prenex normal forms 4.4 Completeness of the first order system KL *4.5 Quantifier-free formulas Chapter 5 Skolem's Standard Forms and Herbrand's Theorems 5.1 Introduction 5.2 Skolem standard forms 5.3 Clauses *5.4 Regular function systems and regular universes 5.5 Herbrand universes and Herbrand's theorems 5.6 The Davis-Putnam method Chapter 6 Resolution Principle 6.1 Resolution in propositional calculus 6.2 Substitutions and unifications 6.3 Resolution Principle in predicate calculus 6.4 Completeness theorem of Resolution Principle 6.5 A simple method for searching clause sets S Chapter 7 Refinements of Resolution 7.1 Introduction 7.2 Semantic resolution 7.3 Lock resolution 7.4 Linear resolution Chapter 8 Many-Valued Logic Calculi 8.1 Introduction 8.2 Regular implication operators 8.3 MV-algebras 8.4 Lukasiewicz propositional calculus 8.5 R0-algebras 8.6 The propositional deductive system L* Chapter 9 Quantitative Logic 9.1 Quantitative logic theory in two-valued propositional logic system L 9.2 Quantitative logic theory in L ukasiewicz many-valued propositional logic systems Ln and Luk 9.3 Quantitative logic theory in many-valued R0-propositional logic systems L*n and L* 9.4 Structural characterizations of maximally consistent theories 9.5 Remarks on Godel and Product logic systems
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