Higher-order multi-valued resolution

Journal of Applied Non-Classical Logics

Volumn 9, Issue 4, 1999, Pages 455-477

  Kohlhase, Michael ^a   Scheja, Ortwin ^a  

^a Universitiit des Saar/andes ^*  (Germany)

Author keywords

Calculus; Higher Order Logic; Multi Valued; Resolution

Indexed keywords

EID: 11844271180     PISSN: 11663081     EISSN: 19585780     Source Type: Journal    
DOI: 10.1080/11663081.1999.10510980     Document Type: Article

References (29)

1. Peter B. Andrews. Resolution in type theory. Journal of Symbolic Logic, 36(3):414-432, 1971.
2. Matthias Baaz and Christian G. Fermiiller. Res olution for manyvalued logics. In Proceedings LPAR '92, Volume 624 of LNAI, pages 107-118. Springer Verlag, 1992.
3. C. Benzmiiller and M. Kohlhase. Extensional Higher-Order Resolution. in Proc. CADE-15, LNAI, Spr inger Verlag, 1998.
4. Walter A. Carnielli. Systematization of finite many-valued logics through the method of tableaux. Journal of Symbolic Logic, 52:473-493, 1987.
5. Walter A. Carnielli. On sequents and tableaux for many-valued logics. Journal of Non-Classical Logic, 8(1):59-76, 1991.
6. J Mary Dalrymple, Stuart Shieber, and Fernando Pereira. Ellipsis and higher-order-unification. Linguistics and Philosophy, 14:399 452, 1991.
7. William M. Fanner. A partial-function version of Church's simple theory of types. Journal of Symbolic Logic, 55:1269-1291, 1990.
8. Claire Gardent and Michael Kohlhase. Higher-order coloured unification and natural language semantics. In Proceedings of ACL 'g6. Association for Computational Linguistics, Santa Cruz, 1996.
9. Claire Gardent, Michael Kohlhase, and Noor van Leusen. Corrections and Higher-Order Unification. In Proceedings of KONVENS' 96, pages 268-279. De Gruyter, 1996.
10. Reiner Hahnle. Automated Deduction in Multiple- Valued Logics, Volume 10 of International Series of Monographs on Computer Science. Oxford University Press, 1994.
11. Reiner Hahnle. Exploiting data dependencies in many-valued logics. Journal of Applied Non-Classical Logics, 6(1}:49-69, 1996.
12. J. Hindley and J. Seldin. Introduction to Combinators and Lambda Calculus. Cambridge University Press, 1986.
13. Gerard P. Huet. Constrained Resolution: A Complete Method for Higher Order Logic. PhD thesis, Case Western Reserve University, 1972.
14. Manfred Kerber and Michael Kohlhase. Mechanising Partiality withou t Re-Implementation. In Alan Bundy, editor, Proceedings K/'97, number 1303 in LNAI, Springer Verlag, 1997.
15. Manfred Kerber and Michael Kohlhase. A mechanization of strong Kleene logic for partial functions. In Alan Bundy, editor, Proceedings CADE'94, number 814 in LNAI, pages 371-385, Springer Verlag, 1994.
16. Manfred Kerber and Michael Kohlhase. Reasoning without believing: On the mechanization of presuppositions and partiality. To appear in Lopez, Manandhar, Nutt eds. Computational Logic for Natural Language Understanding, Springer Verlag.
17. Stephen C. Kleene. Introduction to Meta-Mathematics. North Holland, 1952.
18. Michael Kohlhase. A Mechanization of Sorted Higher-Order Logic Based on the Resolution Principle. PhD thesis, Universitat des Saarlandes, 1994.
19. Michael Kohlhase. Higher-order automated theorem proving. In Wolfg ang Bibel and Peter Schmitt, editors, Automated Deduction - A Basis for Applications, Volume 2, Kluwer, 1998. forthcoming.
20. Ernie! Krahmer. Discourse and Presupposition. PhD thesis, University of Tilburg, 1995.
21. Dale Miller. Proofs in Higher-Order Logic. PhD thesis, CarnegieMellon University, 1983.
22. Dale Miller. Unification under a mixed prefix. Journal of Symbolic Computation, 14:321-358, 1992.
23. R.A. Muskens. Meaning and Partiality. PhD thesis, University of Amsterdam, 1989.
24. Lawrence C. Paulson. Isabelle: A Generic Theorem Prover. Volume 828 of LNCS. Springer Verlag, 1994.
25. Frank Pfenning. Logic programming in the LF logical framework. In Gerard P. Huet and Gordon D. Plotkin, editors, Logical Frameworks. Cambridge University Press, 1991.
26. Gernot Salzer. Optimal axiomatizations for multiple-valued operators and quantifiers based on semilattices. In M.A. McRobbie and J.K. Slaney, editors, Proceedings CADE'96, number 1104 in LNAI, pages 688-702, Springer Ver lag, 1996.
27. Ortwin Scheja. Resolution in mehrwertigen Logiken hoherer Stufe. SEKI-Working-Paper SWP-94-07, Universitiit des Saarlandes, 1994.
28. Raymond M. Smullyan. First-Order Logic. Springer Verlag, 1968.
29. Wayne Snyder. A Proof Theory for General Unification. Progress in Computer Science and Applied Logic. Birkhiiuser, 1991.