Abstract
This paper discusses on a logic of information for reasoning about various persons’ knowledge or time-depending knowledge. The motivation comes from the problem of logical foundations of knowledge representation proposed by Z. Pawlak and E. Orlowska [6], and partially from Orlowska [8]. We consider monadic predicate symbols in this logic. We give its semantics and syntax. Further, we give a deductive system for the logic, and prove the soundness and completeness.
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L. Farinas del Cerro and E. Orlowska: DAL-A logic for data analysis, Theoretical Computer Science,36, (1985), 251–264
L. Farinas del Cerro and E. Orlowska: CORRIGENDUM, Theoretical Computer Science, 47, (1986), 345.
A. Nakamura: On the undecidability of monadic modal predicate logic, Zeitschr. f. math. Logik und Grundlagen d. Math., 16, (1970), 257–260.
A. Nakamura and J-M. Gao: A logic for fuzzy data analysis, Fuzzy Sets and Systems, 39, (1991), 127–132.
A. Nakamura Topological soft algebra for the S5-modal fuzzy logic, Proc. of the 21st ISMVL, May 26–29,1991, Victoria,80–84.
A. Nakamura: A logic of imprecise monadic predicates and its relation to the S5-modal fuzzy logic, Lecture Notes in Computer Science, 548, Symbolic and Quantitative Approaches to Uncertainty, (Eds. R. Kruse and P. Siegel ), (1991), 254–261.
E. Orlowska and Z. Pawlak: Logical foundations of knowledge representation, Part I, ICS PAS (Polish Academy of Sciences) Reports, 537, 1984.
E. Orlowska: Logic of indiscernibility relation, Bulletin of the Polish Academy of Sciences, Mathematics, (1985), 475–485.
E. Orlowska: Logic for reasoning about knowledge, Zeitschr. f. math. Logik und Grundlagen d. Math., 35, (1989), 559–572.
Z. Pawlak: Rough sets, International J. of Information and Computer Sciences, 11, (1982), 341–356.
Z. Pawlak: Rough Sets - Theoretical aspects of reasoning about data -, Kluwer Academic Pub., Dordrecht, (1991).
R.M. Smullyan: First-Order Logic, Springer-Verlag, Berlin, 1968.
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© 1994 British Computer Society
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Nakamura, A. (1994). On a Logic of Information for Reasoning about Knowledge. In: Ziarko, W.P. (eds) Rough Sets, Fuzzy Sets and Knowledge Discovery. Workshops in Computing. Springer, London. https://doi.org/10.1007/978-1-4471-3238-7_23
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DOI: https://doi.org/10.1007/978-1-4471-3238-7_23
Publisher Name: Springer, London
Print ISBN: 978-3-540-19885-7
Online ISBN: 978-1-4471-3238-7
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