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

1. Martin Davis. The Early History of Automated Deduction, pp. 3-15.

Classical Logic

2. Leo Bachmair, Harald Ganzinger. Resolution Theorem Proving, pp. 19-99.
3. Reiner Hähnle. Tableaux and Related Methods, pp. 100-178.
4. Anatoli Degtyarev, Andrei Voronkov. The Inverse Method, pp. 179-272.
5. Matthias Baaz, Uwe Egly, Alexander Leitsch. Normal Form Transformations, pp. 273-333.
6. Andreas Nonnengart, Christoph Weidenbach. Computing Small Clause Normal Forms, pp. 335-367.

Equality and Other Theories

7. Robert Nieuwenhuis, Alberto Rubio. Paramodulation-Based Theorem Proving, pp. 371-443.
8. Franz Baader, Wayne Snyder. Unification Theory, pp. 445-532.
9. Nachum Dershowitz, David Plaisted. Rewriting, pp. 535-610.
10. Anatoli Degtyarev, Andrei Voronkov. Equality Reasoning in Sequent-Based Calculi, pp. 611-706.
11. Shang-Ching Chou, Xiao-Shang Gao. Automated Reasoning in Geometry, pp. 707-749.
12. Alexander Bockmayr, Volker Weispfenning. Solving Numerical Constraints, pp. 751-842.

Induction

13. Alan Bundy. The Automation of Proof by Mathematical Induction, pp. 845-911.
14. Hubert Comon. Inductionless Induction, pp. 913-962.

Volume 2

Higher-Order Logic and Logical Frameworks

15. Peter B. Andrews. Classical Type Theory, pp. 965-1007.
16. Gilles Dowek. Higher-Order Unification and Matching, pp. 1009-1062.
17. Frank Pfenning. Logical Frameworks, pp. 1063-1147.
18. Henk Barendregt, Herman Geuvers. Proof-Assistants Using Dependent Type Systems, pp. 1149-1238.

Nonclassical Logics

19. Jürgen Dix, Ulrich Furbach, Ilkka Niemelä. Nonmonotonic Reasoning: Towards Efficient Calculi and Implementations, pp. 1241-1354.
20. Matthias Baaz, Christian Fermüller, Gernot Salzer. Automated Deduction for Many-Valued Logics, pp. 1355-1402.
21. Hans-Jürgen Ohlbach, Andreas Nonnengart, Maarten De Rijke, Dov Gabbay. Encoding Two-Valued Nonclassical Logics in Classical Logic, pp. 1403-1486.
22. Arild Waaler. Connections in Nonclassical Logics, pp. 1487-1578.

Decidable Classes and Model Building

23. Diego Calvanese, Giuseppe De Giacomo, Maurizio Lenzerini, Daniele Nardi. Reasoning in Expressive Description Logics, pp. 1581-1634.
24. Edmund Clarke, Holger Schlingloff. Model Checking, pp. 1635-1790.
25. Christian Fermüller, Alexander Leitsch, Ullrich Hustadt, Tanel Tammet. Resolution Decision Procedures, pp. 1791-1849.

Implementation

26. I.V. Ramakrishnan, R.Sekar, Andrei Voronkov. Term Indexing, pp. 1853-1964.
27. Christoph Weidenbach. Combining Superposition, Sorts and Splitting, pp. 1965-2013.
28. Reinhold Letz, Gernot Stenz. Model Elimination and Connection Tableau Procedures, pp. 2015-2114.

External links

• MIT press page