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Logic and Logical Philosophy

Parainconsistency of credibility-based belief states
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Parainconsistency of credibility-based belief states

Authors

  • Anna Gomolińska University of Białystok

DOI:

https://doi.org/10.12775/LLP.2001.012

Keywords

parainconsistency, credibility of information, belief state

Abstract

In our approach credibility of information plays an important role in modeling of both belief state and belief change [4]. It turns out that the credibility-based consequence operators used to define the notion of belief state tolerate inconsistency under some conditions.

Author Biography

Anna Gomolińska, University of Białystok

Department of Mathematics

References

Alchourrón, C.E., P. Gärdenfors, and D. Makinson: “On the logic of theory change: Partial meet contraction and revision functions”, Journal of Symbolic Logic 50, 1985, 510–530.

Davey, B.A., and H.A. Priestley: Introduction to Lattices and Order, Cambridge University Press, 1990.

Fuhrmann, A.: “Theory contraction through base contraction”, Journal of Philosophical Logic 20, 1991, 175–203.

Gomolińska, A.: “Credibility of information for modelling belief state and its change”, Fundamenta Informaticæ 34, 1998, 33–51.

Gomolińska, A.: “On the logic of acceptance and rejection”, Studia Logica 60, 1998, 233–251.

Grahne, G., A.O. Mendelzon, and P.Z. Revesz: ”Knowledgebase transformations”. Proceedings of the 11th ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems, 1992, 246–260.

Gärdenfors, P. (ed.): Belief Revision, Cambridge University Press, 1992.

Hansson, S.O.: Belief Base Dynamics, Doctoral Dissertation, Uppsala University, 1991.

Hansson, S.O., and W. Rabinowicz (eds.): Logic for a Change. Essays Dedicated to Sten Lindström on the Occasion of His Fiftieth Birthday, Uppsala Prints and Preprints in Philosophy 9, 1995.

Halpern, J.Y., and Y. Moses: “A guide to completeness and complexity for modal logics of knowledge and belief”, Artificial Intelligence 54, 1992, 319–379.

Hintikka, J.: Knowledge and Belief, Cornell University Press, Ithaca, NY, 1962.

Katsuno, H., and A.O. Mendelzon: “On the difference between updating a knowledge base and revising it”. [7], 183–203.

Marek, V., and M. Truszczyński: Nonmonotonic Logic, Springer-Verlag, 1993.

Moore, R.C.: “Semantical considerations on nonmonotonic logic”, Artificial Intelligence 25(1), 1985, 75–94.

Moore, R.C.: “Possible-world semantics for autoepistemic logic”. M.L. Ginsberg (ed.), Readings in Nonmonotonic Reasoning, Morgan Kaufmann, 1987, 137–142.

Nebel, B.: “Base revision operations and schemes: Semantics, representation, and complexity”. A. Cohn (ed.), Proceedings of the 11th European Conference on Artificial Intelligence (ECAI 94), John Wiley and Sons, 1994, 341–345.

Priest, G., and R. Routley: “Introduction: Paraconsistent logics”, Studia Logica 43(1/2), 1984, 3–16.

Reiter, R.: “A logic for default reasoning”, Artificial Intelligence 13, 1980, 81–132.

Resher, N.: Plausible Reasoning. An Introduction to the Theory and Practice of Plausibilistic Inference, Van Gorcum, Assen, Amsterdam, 1976.

Schwarz, G.: “Autoepistemic modal logics”. R. Parikh (ed.), Proceedings of the 3rd Conference TARK (1990), Morgan Kaufmann, 1990, 97–109.

Segerberg, K.: “Some questions about hypertheories”. [9], 136–154.

Shafer, G.: A Mathematical Theory of Evidence, Princeton University Press, 1976.

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Published

2004-01-19

How to Cite

1.
GOMOLIŃSKA, Anna. Parainconsistency of credibility-based belief states. Logic and Logical Philosophy. Online. 19 January 2004. Vol. 9, no. 9, pp. 183-198. [Accessed 14 December 2025]. DOI 10.12775/LLP.2001.012.
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No. 9 (2001)

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