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Introduction to Mathematical Logic Resolution Principle,Second Edition,in nine chapters,discusses Boolean algebra theory,propositional calculus and predicated calculus theory, resolution principle theory and the latest theory of multivalue logic. The book also includes supplement or alternations on the proof of the completion of K in first-order system,concerning“Quantitative Logic”.

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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 lo-gic systems.L_n and.Luk
  9.3 Quantitative logic theory in many-valued R0-propositional logic syst-ems L*_n and L*
  9.4 Structural characterizations of maximally consistent theories
  9.5 Remarks on G.odel and Product logic systems
  Bibliography
  Index