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Automation of Reasoning

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Cover of 'Automation of Reasoning'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Automated Theorem Proving 1965–1970
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    Chapter 2 A Cancellation Algorithm for Elementary Logic
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    Chapter 3 An Inverse Method for Establishing Deducibility of Nonprenex Formulas of the Predicate Calculus
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    Chapter 4 Automatic Theorem Proving With Renamable and Semantic Resolution
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    Chapter 5 The Concept of Demodulation in Theorem Proving
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    Chapter 6 Resolution with Merging
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    Chapter 7 On Simplifying the Matrix of a WFF
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    Chapter 8 Mechanical Theorem-Proving by Model Elimination
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    Chapter 9 The Generalized Resolution Principle
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    Chapter 10 New Directions in Mechanical Theorem Proving
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    Chapter 11 AUTOMATH, a Language for Mathematics
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    Chapter 12 Semi-Automated Mathematics
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    Chapter 13 Semantic Trees in Automatic Theorem-Proving
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    Chapter 14 A Simplified Format for the Model Elimination Theorem-Proving Procedure
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    Chapter 15 Theorem-Provers Combining Model Elimination and Resolution
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    Chapter 16 Relationship between Tactics of the Inverse Method and the Resolution Method
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    Chapter 17 E-Resolution: Extension of Resolution to Include the Equality Relation
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    Chapter 18 Commentary by the Author and Corrections
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    Chapter 19 Paramodulation and Theorem-Proving in First-Order Theories with Equality
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    Chapter 20 Completeness Results for E-Resolution
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    Chapter 21 A Linear Format for Resolution With Merging and a New Technique for Establishing Completeness
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    Chapter 22 The Unit Proof and the Input Proof in Theorem Proving
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    Chapter 23 Simple Word Problems in Universal Algebras
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    Chapter 24 The Case for Using Equality Axioms in Automatic Demonstration
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    Chapter 25 A Linear Format for Resolution
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    Chapter 26 An Interactive Theorem-Proving Program
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    Chapter 27 Refinement Theorems in Resolution Theory
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    Chapter 28 On the Complexity of Derivation in Propositional Calculus
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    Chapter 29 Resolution in Type Theory
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    Chapter 30 Splitting and Reduction Heuristics in Automatic Theorem Proving
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    Chapter 31 A Computer Algorithm for the Determination of Deducibility on the Basis of the Inverse Method
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    Chapter 32 Linear Resolution with Selection Function
  34. Altmetric Badge
    Chapter 33 Maximal Models and Refutation Completeness: Semidecision Procedures in Automatic Theorem Proving
Attention for Chapter 30: Splitting and Reduction Heuristics in Automatic Theorem Proving
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Chapter title
Splitting and Reduction Heuristics in Automatic Theorem Proving
Chapter number 30
Book title
Automation of Reasoning
Published by
Springer, Berlin, Heidelberg, January 1983
DOI 10.1007/978-3-642-81955-1_30
Book ISBNs
978-3-64-281957-5, 978-3-64-281955-1
Authors

W. W. Bledsoe, Bledsoe, W. W.

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