Handbook of Automated Reasoning
The Handbook of Automated Reasoning (ISBN 0444508139, 2128 pages) is a collection of survey articles on the field of automated reasoning. Published on June 2001 by MIT Press, it is edited by John Alan Robinson and Andrei Voronkov. Volume 1 describes methods for classical logic, first-order logic with equality and other theories, and induction. Volume 2 covers higher-order, non-classical and other kinds of logic.
Index[]
Volume 1[]
- History
- Martin Davis. The Early History of Automated Deduction, pp. 3–15.
- Classical Logic
- , Harald Ganzinger. Resolution Theorem Proving, pp. 19–99.
- . Tableaux and Related Methods, pp. 100–178.
- , Andrei Voronkov. The Inverse Method, pp. 179–272.
- , , . Normal Form Transformations, pp. 273–333.
- , . Computing Small Clause Normal Forms, pp. 335–367.
- Equality and Other Theories
- , Alberto Rubio. Paramodulation-Based Theorem Proving, pp. 371–443.
- Franz Baader, Wayne Snyder. Unification Theory, pp. 445–532.
- Nachum Dershowitz, David Plaisted. Rewriting, pp. 535–610.
- , Andrei Voronkov. Equality Reasoning in Sequent-Based Calculi, pp. 611–706.
- , . Automated Reasoning in Geometry, pp. 707–749.
- , . Solving Numerical Constraints, pp. 751–842.
- Induction
- Alan Bundy. The Automation of Proof by Mathematical Induction, pp. 845–911.
- . Inductionless Induction, pp. 913–962.
Volume 2[]
- Higher-Order Logic and Logical Frameworks
- Peter B. Andrews. Classical Type Theory, pp. 965–1007.
- . Higher-Order Unification and Matching, pp. 1009–1062.
- Frank Pfenning. Logical Frameworks, pp. 1063–1147.
- Henk Barendregt, . Proof-Assistants Using Dependent Type Systems, pp. 1149–1238.
- Nonclassical Logics
- , , . Nonmonotonic Reasoning: Towards Efficient Calculi and Implementations, pp. 1241–1354.
- , , . Automated Deduction for Many-Valued Logics, pp. 1355–1402.
- , , , Dov Gabbay. Encoding Two-Valued Nonclassical Logics in Classical Logic, pp. 1403–1486.
- . Connections in Nonclassical Logics, pp. 1487–1578.
- Decidable Classes and Model Building
- Diego Calvanese, , Maurizio Lenzerini, . Reasoning in Expressive Description Logics, pp. 1581–1634.
- Edmund Clarke, . Model Checking, pp. 1635–1790.
- , , , Tanel Tammet. Resolution Decision Procedures, pp. 1791–1849.
- Implementation
- , , Andrei Voronkov. Term Indexing, pp. 1853–1964.
- . Combining Superposition, Sorts and Splitting, pp. 1965–2013.
- , . Model Elimination and Connection Tableau Procedures, pp. 2015–2114.
External links[]
Categories:
- 2001 non-fiction books
- Essay collections
- Logic books
- Computer science books
- Automated reasoning