Skip to main content

Efficient data structures for deduction systems

  • Invited Talks
  • Conference paper
  • First Online:
Deductive and Object-Oriented Databases (DOOD 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1341))

Included in the following conference series:

  • 110 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

References

  1. L. Bachmair, T. Chen, and IN. Ramakrishnan. Associative-commutative discrimination nets. In Proceedings TAPSOFT '93, LNCS 668, pages 61–74. Springer, 1993.

    Google Scholar 

  2. R. Butler, E. Lusk, W. McCune, and R. Overbeek. Paths to high-performance automated theorem proving. In 8th Conference on Automated Deduction, pages 588–597. Springer LNCS 230, 1994.

    Google Scholar 

  3. R. Boyer and E. McCreight. Organization and Maintenance of Large Ordered Indexes. Acta Informatica, 1:3, February 1972.

    Google Scholar 

  4. R. Butler and R. Overbeek. Formula databases for high-performance resolution/paramodulation systems. Journal of Automated Reasoning, 12:139–156, 1994.

    Article  Google Scholar 

  5. J. Corbin and M. Bidoit. A rehabilitation of Robinsons unification algorithm. Information Processing Letters, 1983.

    Google Scholar 

  6. J. Christian. Flatterms, discrimination nets, and fast term rewriting. Journal of Automated Reasoning, 10(1):95–113, February 1993.

    Article  MathSciNet  Google Scholar 

  7. P. Graf. Extended path-indexing. In 12th Conference on Automated Deduction, pages 514–528. Springer LNAI 814, 1994.

    Google Scholar 

  8. P. Graf. Substitution tree indexing. In 6th International Conference on Rewriting Techniques and Applications RTA-95, pages 117–131. Springer LNCS 914, 1995.

    Google Scholar 

  9. P. Graf. Term Indexing. Springer Lecture Notes in Artificial Intelligence, Vol. 1053, 1996.

    Google Scholar 

  10. L.J. Henschen and S.A. Naqvi. An improved filter for literal indexing in resolution systems. In Proceedings of the 6th International Joint Conference on Artificial Intelligence, pages 528–529, 1981.

    Google Scholar 

  11. E. Lusk and R. Overbeek. Data structures and control architectures for the implementation of theorem proving programs. In 5th International Conference on Automated Deduction, pages 232–249. Springer, 1980.

    Google Scholar 

  12. W. McCune. An indexing method for finding more general formulas. Association for Automated Reasoning Newsletter, 1(9):7–8, January 1988.

    Google Scholar 

  13. W. McCune. Experiments with discrimination-tree indexing and path-indexing for term retrieval.Journal of Automated Reasoning, 9(2):147–167, October 1992.

    Article  Google Scholar 

  14. H.J. Ohlbach. Abstraction tree indexing for terms. In Proceedings of the 9th European Conference on Artificial Intelligence, pages 479–484. Pitman Publishing, London, August 1990.

    Google Scholar 

  15. H.J. Ohlbach. Compilation of recursive two-literal clauses into unification algorithms. In Proc. of AIMSA 1990. Bulgaria, 1990.

    Google Scholar 

  16. M. S. Paterson and M. N. Wegman. Linear Unification. In Journal of Computer and System Sciences, Vol. 16:2, 1978, pages 158–167.

    Article  Google Scholar 

  17. R. Ramesh, I.V. Ramakrishnan, and R.C Sekar. Adaptive pattern matching. In Proceedings of ICALP'92, pages 247–260. Springer, LNCS 623, 1992.

    Google Scholar 

  18. R. Ramesh, I.V. Ramakrishnan, and R.C Sekar. Automata-driven efficient subterm unification. In Proceedings of LICS-94. Springer, LNCS, 1994.

    Google Scholar 

  19. K. Ramamohanarao and J. Shepherd. A superimposed codeword indexing scheme for very large Prolog databases. In Proceedings of the 3rd International Conference on Logic Programming. London, England, 1986.

    Google Scholar 

  20. M. Stickel. The path-indexing method for indexing terms. Technical Note 473, Artificial Intelligence Center, SRI International, Menlo Park, CA, October 1989.

    Google Scholar 

  21. A. Voronkov. The anatomy of vampire: Implementing bottom-up procedures with code trees. Journal of Automated Reasoning, 15(2):237–265, 1995.

    Article  Google Scholar 

  22. L. Wos. Note on McCune's article on discrimination trees. Journal of Automated Reasoning, 9(2):145–146, 1992.

    Article  Google Scholar 

  23. M. Wise and D. Powers. Indexing prolog clauses via superimposed codewords and field encoded words. In Proceedings of the IEEE Conference on Logic Programming, pages 203–210, 1984.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

François Bry Raghu Ramakrishnan Kotagiri Ramamohanarao

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ohlbach, H.J. (1997). Efficient data structures for deduction systems. In: Bry, F., Ramakrishnan, R., Ramamohanarao, K. (eds) Deductive and Object-Oriented Databases. DOOD 1997. Lecture Notes in Computer Science, vol 1341. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63792-3_1

Download citation

  • DOI: https://doi.org/10.1007/3-540-63792-3_1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63792-9

  • Online ISBN: 978-3-540-69647-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics