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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
Bibliography
Index