数理逻辑引论与归结原理
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广东广州
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作者王国俊,周红军
出版社科学出版社
ISBN9787030228994
出版时间2017-12
装帧平装
开本其他
定价128元
货号9046588
上书时间2024-01-10
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目录
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 Skolems Standard Forms and Herbrands 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 Herbrands 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
Bibliography
Index
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精彩内容
Guo-Jun Wang、Hong-Jun Zhou著的《数理逻辑引论与归结原理(英文版）（精）》在第一版的基础上进行修订再版，全书共9章，内容可分为Boole代数理论，命题演算与谓词演算理论，归结原理理论，多值逻辑的最新理论等4部分。同时，在第一版的基础上对“计量逻辑学”，关于一阶系统K完备性的证明等诸多内容做了补充或改写。 本书可供计算机专业、应用数学专业、人工智能专业的研究生与高年级本科生及教师阅读。
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