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 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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