Abstract
The aim of this contribution is to show that RPL-Rational Pavelka Logic and RQL-Rational Quantification Logic (Hájek's substantial simplification of Pavelka's propositional and Novák's predicate fuzzy calculi) are suitable logical systems for handling uncertainty in logic programming and expert systems. We define corresponding procedural and declarative semantics, prove the soundness of graded SLD-refutation with fixed → and &t and discuss some further couples of connectives suitable for logic programming and appropriate declarative semantics.
This work was supported by the grant 2/1224/95 of the Slovak Grant Agency for Science.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Ding L., Shen Z. L., Mukaidono M.: Fuzzy linear resolution as the inference engine of intelligent systems. in Ras Z. W. (Ed.): Methodologies for Intelligent Systems, Volume 4, Elsevier Science Publ., Amsterdam, 1989, Volume 4, 1–8
Dubois D., Lang J., Prade H.: Fuzzy sets in approximate reasoning, Part 2: Logical approaches. Fuzzy Sets and Systems 40 (1991) 203–244
Gottwald, S.: Mehrwertige Logik. Akademie Verlag, Berlin, 1988
Hájek, P.: Fuzzy logic and arithmetical hierarchy I. Fuzzy Sets and Systems (to appear)
Hájek, P.: Fuzzy logic and arithmetical hierarchy II. Preprint, 1995
Hájek, P.: Grundlagen der Fuzzy Logik. Vorträge, Technische Universität, Wien, 24.-28. 4. 1995
Hájek, P.: Lectures on Fuzzy Logic. Handwritten notes of lectures, Prague, Fall 1994
Lloyd, J.W.: Foundation of Logic Programming. Springer Verlag, Berlin, 1987
Meritt, D.: Building Expert Systems in Prolog. Springer Verlag, Berlin, 1989
Novák, V.: On the syntactico-semantical completeness of first-order fuzzy logic I, II. Kybernetika 26 (1990) 47–26, 134–152
Pavelka, J.: On fuzzy logic I, II, III. Zeitschr. f. Math. Logik und Grundl. der Math. 25 (1979) 45–52, 119–134, 447–464
Shortliffe, E. H., Buchanan, B. G.: A model of inexact reasoning in medicine. Math. Biosci. 23 (1975) 351–379
Vojtáš, P., Paulík, L., Lieskovský, M.: Expert systems and different logic systems. Accepted for the proceeding of AIT'95, Brno, Published by Tech. Univ., Brno, 1995
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Vojtáš, P., Paulík, L. (1995). Logic programming in RPL and RQL. In: Bartosek, M., Staudek, J., Wiedermann, J. (eds) SOFSEM '95: Theory and Practice of Informatics. SOFSEM 1995. Lecture Notes in Computer Science, vol 1012. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60609-2_38
Download citation
DOI: https://doi.org/10.1007/3-540-60609-2_38
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60609-3
Online ISBN: 978-3-540-48463-9
eBook Packages: Springer Book Archive