Failure reasoning in multiple-strategy proof planning

Electronic Notes in Theoretical Computer Science

Volumn 125, Issue 2, 2005, Pages 67-90

  Meier, Andreas ^a   Melis, Erica ^a  

^a GERMAN RESEARCH CENTER FOR ARTIFICIAL INTELLIGENCE DFKI   (Germany)

Author keywords

Meta Reasoning; Proof Planning

Indexed keywords

DECISION THEORY; FAILURE ANALYSIS; HEURISTIC METHODS; INFORMATION ANALYSIS; KNOWLEDGE BASED SYSTEMS; PLANNING; THEOREM PROVING;

DERIVATION; META-REASONING; MULTIPLE STRATEGY; PROOF PLANNING;

PROBLEM SOLVING;

EID: 14744272598     PISSN: 15710661     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.entcs.2005.01.004     Document Type: Conference Paper

References (18)

1. Bartle, R. and D. Sherbert, "Introduction to Real Analysis," John Wiley& Sons, New York, 1982.
2. Bledsoe, W., Challenge Problems in Elementary Analysis, Journal of Automated Reasoning 6 (1990), pp. 341-359.
3. Bundy, A., The Use of Explicit Plans to Guide Inductive Proofs, in: Proceedings of CADE-9, LNCS 310 (1988), pp. 111-120.
4. Corkill, D., V. Lesser and E. Hudlicka, Unifying Data-Directed and Goal-Directed Control, in: Proceedings of AAAI-82 (1982), pp. 143-147.
5. Durfee, E. and V. Lesser, Incremental Planning to Control a Blackboard-Based Problem Solver, in: Proceedings of AAAI-86 (1986), pp. 58-64.
6. Ginsberg, M., Dynamic Backtracking, Journal of Artificial Intelligence Research 1 (1993), pp. 25-46.
7. Ireland, A., The Use of Planning Critics in Mechanizing Inductive Proofs, in: Proceedings of LPAR'92, LNAI 624 (1992), pp. 178-189.
8. Ireland, A. and A. Bundy, Productive Use of Failure in Inductive Proof, Journal of Automated Reasoning 16 (1996), pp. 79-111.
9. Meier, A., "MULTI - Proof Planning with Multiple Strategies," Ph.D. thesis, Fachbereich Informatik, Universität des Saarlandes, Saarbrücken (2004).
10. Meier, A., The Proof Planners of ΩMEGA: A Technical Description, Seki Report SR-04-03, FR Informatik, Saarland University, Saarbrücken, Germany (2004).
11. Meier, A. and E. Melis, Proof Planning Limit Problems with Multiple Strategies, Seki Report SR-04-04, FR Informatik, Saarland University, Saarbrücken, Germany (2004).
12. Meier, A., M. Pollet and V. Sorge, Comparing Approaches to Explore the Domain of Residue Classes, Journal of Symbolic Computation 34 (2002), pp. 287-306.
13. Melis, E. and A. Meier, Proof Planning with Multiple Strategies, in: Proceedings CL-2000, LNAI 1861 (2000), pp. 644-659.
14. Melis, E. and J. Siekmann, Knowledge-Based Proof Planning, Artificial Intelligence 115 (1999), pp. 65-105.
15. Richardson, J., A. Smaill and I. Green, System description: Proof planning in higher-order logic with λClam, in: Proceedings of the 15th International Conference on Automated Deduction (CADE-15), LNAI 1421 (1998), pp. 129-133.
16. Schoenfeld, A., "Mathematical Problem Solving," Academic Press, New York, 1985.
17. Siekmann, J., C. Benzmüller, V. Brezhnev, L. Cheikhrouhou, A. Fiedler, A. Franke, H. Horacek, M. Kohlhase, A. Meier, E. Melis, M. Moschner, I. Normann, M. Pollet, V. Sorge, C. Ullrich, C. Wirth and J. Zimmer, Proof Development with OMEGA, in: Proceedings of CADE-18, number 2392 in LNAI (2002), pp. 144-149.
18. Zimmer, J. and E. Melis, Constraint solving for proof planning, Journal of Automated Reasoning (2004), accepted.