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Interfacing a logic machine

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CSL '87 (CSL 1987)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 329))

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Abstract

We specify a certain proof search strategy TC based on classical tableau calculus which extends PROLOG to full first order predicate logic. This is meant in the strong algorithmic sense: For the special case of a definite Horn clause knowledge base Σ and an atomic goal α, TC finds a proof for α from Σ if and only if (standard) PROLOG finds that proof. We motivate TC, describe its theoretical background and design, and indicate some principal ways how to interface TC with the outside system.

EARN: SCHFELD at DHDIBMI

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References

  1. W. Bibel, Matings in Matrices, Communications of the ACM 26(1983), 844–852

    Google Scholar 

  2. A. Blaser, B. Alschwee, He. Lehmann, Hu. Lehmann, W. Schönfeld, Ein Expertensystem mit natürlichsprachlichem Dialog — Ein Projektbericht, in: W. Brauer, R. Radig (Hrsg.), Wissensbasierte System, GI-Kongrex 1985, Informatik-Fachberichte 112, Springer-Verlag, Berlin 1985, 42–57

    Google Scholar 

  3. W.W. Bledsoe, Non-resolution theorem proving, Artificial Intelligence 9(1977), 1–35

    Google Scholar 

  4. W.A. Carnielli, Systematization of finite many-valued logics through the method of tableaux, J. Symbolic Logic 52.2 (1987), 473–493

    Google Scholar 

  5. A.K. Chandra, D.C. Kozen, L.J. Stockmeyer, Alternation, J. ACM 28(1981), 114–133

    Google Scholar 

  6. K. Clark, Negation as failure, in: H. Gallaire e.a. (eds.), Logic and data bases, Plenum Press, New York 1978

    Google Scholar 

  7. A. Colmerauer, H. Kanoui, R. Pasero, P. Roussel, Un système de communication homme-machine en français, Rapport Groupe Intelligence Artificielle, Marseille 1973.

    Google Scholar 

  8. G. Gentzen, Untersuchungen über das logische Schliessen, Math. Zeitschr. 39 (1934), 167–210, 405–431.

    Google Scholar 

  9. A. Horn, On sentences which are true of direct unions of algebras, J. Symbolic Logic 16(1951), 14–21.

    Google Scholar 

  10. F. Oppacher, E. Suen, Controlling deduction with proof condensation and heuristics, Proc. 8th Conf. Automated Deduction, 384–393

    Google Scholar 

  11. J.A. Robinson, A machine-oriented logic based on the resolution principle, J. ACM 12(1965), 23–41

    Google Scholar 

  12. W. Schönfeld, PROLOG extensions based on tableau calculus, Proc. 9th Int. Conf. Artificial Intelligence, Aug. 1985, Los Angeles, Ca., Vol. 2, 730–732

    Google Scholar 

  13. P.H. Schmitt, The THOT Theorem Prover, TR 87.09.007, IBM Wissenschaftliches Zentrum Heidelberg (1987)

    Google Scholar 

  14. Ehud H. Shapiro, Alternation and the Computational Complexity of Logic Programs, J. Logic Programming 1(1984), 19–33

    Google Scholar 

  15. R.M. Smullyan, First-order logic, Springer-Verlag, Berlin-Heidelberg-New York 1968

    Google Scholar 

  16. G. Wrightson, Semantic tableaux, unification, and links, Technical Report CSD-ANZARP-84-001, University of Wellington, 1984

    Google Scholar 

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Egon Börger Hans Kleine Büning Michael M. Richter

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© 1988 Springer-Verlag

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Schönfeld, W. (1988). Interfacing a logic machine. In: Börger, E., Büning, H.K., Richter, M.M. (eds) CSL '87. CSL 1987. Lecture Notes in Computer Science, vol 329. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-50241-6_42

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  • DOI: https://doi.org/10.1007/3-540-50241-6_42

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50241-8

  • Online ISBN: 978-3-540-45960-6

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