Skip to main content

Proving Failure in Functional Logic Programs

  • Conference paper
  • First Online:
Book cover Computational Logic — CL 2000 (CL 2000)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1861))

Included in the following conference series:

Abstract

How to extract negative information from programs is an important issue in logic programming. Here we address the problem for functional logic programs, from a proof-theoretic perspective. The starting point of our work is CRWL (Constructor based ReWriting Logic), a well established theoretical framework for functional logic programming, whose fundamental notion is that of non-strict non-deterministic function. We present a proof calculus, CRWLF, which is able to deduce negative information from CRWL-programs. In particular, CRWLF is able to prove ‘finite’ failure of reduction within CRWL.

The authors have been partially supported by the Spanish CICYT (project TIC 98-0445-C03-02 ‘TREND’).

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. K.R. Apt and R. Bol. Logic programming and negation: A survey. Journal of Logic Programming, 19&20:9–71, 1994.

    Article  MathSciNet  Google Scholar 

  2. D. Bert and R. Echahed. Abstraction of conditional term rewriting systems. In Proc. ILPS’95, pages 162–176. MIT Press, 1995.

    Google Scholar 

  3. J.C. González-Moreno, T. Hortalá-González, F.J. López-Fraguas, and M. Rodríguez-Artalejo. An approach to declarative programming based on a rewriting logic. Journal of Logic Programming, 40(1):47–87, 1999.

    Article  MATH  MathSciNet  Google Scholar 

  4. M. Hanus. The integration of functions into logic programming: From theory to practice. Journal of Logic Programming, 19&20:583–628, 1994.

    Article  MathSciNet  Google Scholar 

  5. M. Hanus (ed.). Curry: An integrated functional logic language, February 2000. Available at http://www-i2.informatik.rwth-aachen.de/~hanus/curry/report.html.

  6. G. Jäger and R.F. Stärk. A proof-theoretic framework for logic programming. In S.R. Buss (ed.), Handbook of Proof Theory, pages 639–682. Elsevier, 1998.

    Google Scholar 

  7. F.J. López-Fraguas and J. Sánchez-Hernández. Disequalities may help to narrow. In Proc. APPIA-GULP-PRODE’99, pages 89–104, 1999.

    Google Scholar 

  8. F.J. López-Fraguas and J. Sánchez-Hernández. A multiparadigm declarative system. In Proc. RTA’99, Springer LNCS 1631, pages 244–247, 1999.

    Google Scholar 

  9. F.J. López-Fraguas and J. Sánchez-Hernández. Proving failure in functional logic programs (extended version). Tech. Rep. SIP 00/100-00, UCM Madrid, 2000.

    Google Scholar 

  10. J.J. Moreno-Navarro. Default rules: An extension of constructive negation for narrowing-based languages. In Proc. ICLP’95, pages 535–549. MIT Press, 1994.

    Google Scholar 

  11. J.J. Moreno-Navarro. Extending constructive negation for partial functions in lazy functional-logic languages. In Proc. ELP’96, pages 213–227. Springer LNAI 1050, 1996.

    Google Scholar 

  12. P.J. Stuckey. Constructive negation for constraint logic programming. In Proc. LICS’91, pages 328–339, 1991.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

López-Fraguas, F.J., Sánchez-Hernández, J. (2000). Proving Failure in Functional Logic Programs. In: Lloyd, J., et al. Computational Logic — CL 2000. CL 2000. Lecture Notes in Computer Science(), vol 1861. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44957-4_12

Download citation

  • DOI: https://doi.org/10.1007/3-540-44957-4_12

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67797-0

  • Online ISBN: 978-3-540-44957-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics