A generic modular data structure for proof attempts alternating on ideas and granularity

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 3863 LNAI, Issue , 2006, Pages 126-142

  Autexier, Serge ^a,b   Benzmüller, Christoph ^a   Dietrich, Dominik ^a   Meier, Andreas ^b   Wirth, Claus Peter ^a  

^a SAARLAND UNIVERSITY   (Germany)

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

Author keywords

[No Author keywords available]

Indexed keywords

ABSTRACTING; ARTIFICIAL INTELLIGENCE; COMPUTER SYSTEMS; MATHEMATICAL TECHNIQUES; SYSTEMS ANALYSIS; THEOREM PROVING; USER INTERFACES;

GENERIC MODULAR DATA STRUCTURE; GRANULARITY; LEMMAS; MATHEMATICAL ASSISTANT SYSTEM;

DATA STRUCTURES;

EID: 33745651110     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11618027_9     Document Type: Conference Paper

References (18)

1. P. B. Andrews, M. Bishop, and C.E. Brown. System description: TPS: A theorem proving system for type theory. In Proc. of the 17th Int. Conf. on Automated Deduction (CADE-17), LNCS, pages 164-169. Springer, 2000.
2. S. Autexier, D. Hutter, B. Langenstein, H. Mantel, C. Rock, A. Schairer, W. Stephan, R. Vogt, and A. Wolpers. VSE: Formal methods meet industrial needs. International Journal on Software Tools for Technology Transfer, Special issue on Mechanized Theorem Proving for Technology, Springer, september 1998.
3. J. Avenhaus, U. Kühler, T. Schmidt-Samoa, und C.-P. Wirth. How to prove inductive theorems? QUODLIBET! In Proc. of the. 19th Int. Conf. on Automated Deduction (CADE-19), number 2741 in LNAI, pages 328-333. Springer, 2003.
4. Y. Bertot and P. Castéraa. Interactive Theorem Proving and Program Development - Coq'Art: The Calculus of Inductive Construction. Texts in Theoretical Computer Science, An EATCS Series, Springer, 2004.
5. L. Cheikhrouhou and V. Sorge. PDS - A Three-Dimensional Data Structure for Proof Plans. In Proc. of the. Int. Conf. on Artificial and Computational Intelligence for Decision, Control and Automation in Engineering and Industrial Applications (ACIDCA'2000), 2000.
6. L. Dixon. Interactive and hierarchical tracing of techniques in IsaPlanner. In Proc. of UITP'05, 2005.
7. A. Fiedler. Dialog-driven adaptation of explanations of proofs. In Proc. of the 17th International Joint Conference on Artificial. Intelligence (IJCAI), pages 1205-1300, Seattle, WA, 2001. Morgan Kaufmann.
8. The OMEGA Group. Proof development with ΩMEGA. In Proc. of the 18th Int. Conf. on Automated Deduction (CADE-18), number 2392 in LNAI, pages 143-148. Springer, 2002.
9. X. Huang. Reconstructing proofs at the assertion level. In Proc. of the 12th Int. Conf. on Automated Deduction (CADE-12), LNAI, pages 738-752. Springer, 1994.
10. M. Hübner, S. Autexier, C. Benzmüller, and A. Meier. Interactive theorem proving with tasks. Electronic Notes in Theoretical Computer Science, 103(C):161-181, November 2004.
11. D. Hutter and C. Sengler. INKA - The Next Generation. In Proc. of the 13th International Conference on Automated Deduction (CADE-13), LNAI. Springer, 1996.
12. C. Kreitz, L. Lorigo, R. Eaton, R.L. Constable, and S.F. Allen. The nuprl open logical environment, 2000.
13. Andreas Meier. Proof Planning with Multiple Strategies, PhD thesis, Saarland Univ., 2004.
14. E. Melis and J. Siekmann. Knowledge-Based Proof Planning. Artificial Intelligence, 115(1):65-105, 1999.
15. L.C. Paulson. Isabelle; A Generic Theorem Prover, LNCS. Springer, 1994.
16. J. Siekmann, C. Benzmüller, A. Fiedler, A Meier, I. Normann, and M. Pollet. Proof Development in OMEGA: The Irrationality of Square Root of 2, pages 271-314, Kluwer Academic Publishers, 2003.
17. J. Siekmann, C. Benzmüller, A. Fiedler, A. Meier, and M. Pollet. Proof development with OMEGA: Sqrt(2) is irrational. In Logic for Programming, Artificial Intelligence, and Reasoning, 9th Int. Conf., LPAR 2002, number 2514 in LNAI, pages 367-387. Springer, 2002.
18. C.-P. Wirth. Descente infinie + Deduction. Logic J. of the IGPL, 12(1):1-96, 2004.