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Blocking mechanisms in description logics, a general approach

Dmitry Tishkovsky - 11.6.2008

We will take a close look on various standard mechanism of blocking in tableaux for various description logics and attemt to simulate these mechanisms by a general blocking rule - the unrestricted blocking rule. In particular, we will consider static and dynamic, subset and equality, and successor and anywhere blocking mechanisms.


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A General Tableau Method for Deciding Description Logics, Modal Logics and Related First-Order Fragments

Dmitry Tishkovsky - 11.6.2008

A general method for proving termination of tableaux-based procedures for modal-type logics and related first-order fragments will be presented. The method is based on connections between filtration arguments and a general blocking technique. The method provides a general framework for developing tableau-based decision procedures for a large class of logics. In particular, the method can be applied to many well-known description and modal logics. The class includes traditional modal logics such as S4 and modal logics with the universal modality, as well as description logics such as ALC with nominals and general TBoxes. Also contained in the class are harder and less well-studied modal logics with complex modalities and description logics with complex role operators such as Boolean modal logic, and the description logic ALBO. In addition, the techniques allow us to specify tableau-based decision procedures for related solvable fragments of first-order logic, including the two-variable fragment of first-order logic. This solves a long-standing open problem.


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Reasoning about actions and knowlege: Multi-agent dynamic logics with informational test

Dmitry Tishkovsky - 9.6.2008

The logics are based on a new formalisation and semantics of the test operator of propositional dynamic logic and a representation of actions which distinguishes abstract actions from concrete actions. The new test operator, called informational test, can be used to formalise the beliefs and knowledge of particular agents as dynamic modalities. This approach is consistent with the formalisation of the agents` beliefs and knowledge as K(D)45 and S5 modalities. Properties concerning informativeness, truthfulness and preservation of beliefs were proved for a derivative of the informational test operator. It was shown that common belief and common knowledge can be expressed in the considered logics. This means, the logics are more expressive than propositional dynamic logic with an extra modality for belief or knowledge. The logics remain decidable and belong to 2EXPTIME. Versions of the considered logics express natural additional properties of beliefs or knowledge and interaction of beliefs or knowledge with actions. It was shown that a simulation of PDL can be constructed in one of these extensions.


Results - Publications (2006-young)



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Linková Zdeňka
Ontology-based Integration System
In: Proceedings of Doktorandský den 06, 20.9.-22.9.2006, Monínec, Sedlec-Prčice, Czech Republic, MATFYZPRESS, 2006, pp. 57-63 (ISBN: 80-86732-87-8)
Nedbal Radim
General Relational Data Model with Preferences
In: Proceedings of Doktorandský den 06, 20.9.-22.9.2006, Monínec, Sedlec-Prčice, Czech Republic, MATFYZPRESS, 2006, pp. 78-84 (ISBN: 80-86732-87-8)
Řimnáč Martin
Odhadování struktury a asociativní úložiště dat
In: Proceedings of Doktorandský den 06, 20.9.-22.9.2006, Monínec, Sedlec-Prčice, Czech Republic, MATFYZPRESS, 2006, pp. 135-142 (ISBN: 80-86732-87-8)
Špánek Roman
Security Model Based on Virtual Organizations for Distributed Environments
In: Proceedings of Doktorandský den 06, 20.9.-22.9.2006, Monínec, Sedlec-Prčice, Czech Republic, MATFYZPRESS, 2006, pp. 164-171 (ISBN: 80-86732-87-8)
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Nečaský Martin
XSEM – A Conceptual model for XML Data
In: Proceedings of Communications and Doctoral Consortium, 7th International Baltic Conference on Databases and Information Systems, Vilnius, 2006, pp. 328-331.
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Toman Kamil, Mlýnková Irena
XML Data - The Current State of Affairs
In: Proceedings of XML Prague 2006 conference, 17.6.-18.6.2006, Prague, Czech Republic, ITI Series, MFF UK, June 2006, pp. 87 - 102.
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Kudová Petra
Learning with Regularization Networks in Bang
In: TAM06, Barcelona, Spain, 14.6.-16.6.2006
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Nováček Vít and Smrž Pavel
Empirical Merging of Ontologies - A Proposal of Universal Uncertainty Representation Framework
In: The Semantic Web: Research and Applications (Lecture notes in Computer Science 4011/2006 - Proceedings of ESWC'06 - 3rd European Semantic Web Conference), 11.-14.6. 2006, Budva, Montenegro, Berlin: Springer-Verlag, 2006, pp. 65-79. (ISBN 3-540-34544-2)
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Nováček Vít, Smrž Pavel and Pomikálek Jan
Text Mining for Semantic Relations as a Support Base of a Scientific Portal Generator
In: Proceedings of LREC 2006 - 5th International Conference on Language Resources and Evaluation, 24.-26.5. 2006, Genoa, Italy, Paris: ELRA, 2006, pp. 1338-1343. (ISBN 2-9517408-2-4)
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Nečaský Martin
Conceptual Modeling for XML: A Survey
In: Snášel, V., Richta, K., and Pokorný, J.: Proceedings of the Dateso 2006 Annual International Workshop on DAtabases, TExts, Specifications and Objects, 26.4.-28.4.2006, Desná - Černá Říčka, Czech Republic, CEUR-WS, Vol. 176, pp. 40-53.
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Smrž Pavel, Nováček Vít
Ontology Acquisition for Automatic Building of Scientific Portals
In: Proceedings of SOFSEM 2006: Theory and Practice of Computer Science, 21.1.-27.1.2006, Měřín, Czech Republic, LNCS 3831, Springer, Berlin, 2006, pp. 493-500. (ISBN: 3-540-31198-X)
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Linková Zdeňka, Nedbal Radim
VirGIS Data in Semantic Web Environment
In: Proceedings of SOFSEM 2006: Theory and Practice of Computer Science, 21.1.-27.1.2006, Měřín, Czech Republic, Volume II, ICS AS CR, Prague, 2006, pp. 120-127. (ISBN 80-903298-4-5)
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Nováček Vít
Motivations of Extensive Incorporation of Uncertainty in OLE Ontologies
In: Proceedings of SOFSEM 2006: Theory and Practice of Computer Science, 21.1.-27.1.2006, Měřín, Czech Republic, Volume II, ICS AS CR, Prague, 2006, pp. 145-154. (ISBN 80-903298-4-5)
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Řimnáč Martin
Transforming Current Web Sources for Semantic Web Usage
In: Proceedings of SOFSEM 2006: Theory and Practice of Computer Science, 21.1.-27.1.2006, Měřín, Czech Republic, Volume II, ICS AS CR, Prague, 2006, pp. 155-165. (ISBN 80-903298-4-5)
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Špánek Roman
RollingBall: Energy and QoS Aware Protocol for Wireless Sensor Networks
In: Proceedings of SOFSEM 2006: Theory and Practice of Computer Science, 21.1.-27.1.2006, Měřín, Czech Republic, Volume II, ICS AS CR, Prague, 2006, pp. 166-173. (ISBN 80-903298-4-5)
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Mlýnková Irena, Toman Kamil, Pokorný Jaroslav
Statistical Analysis of Real XML Data Collections
Technical Report 2006/5, MFF UK, June 2006, 39 p.
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Nečaský Martin
Conceptual Modeling for XML: A Survey
Technical Report No. 2006-3, Dep. of Software Engineering, Faculty of Mathematics and Physics, Charles University, Prague, 2006, 54 p.
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Linková Zdeňka
European Summer School in Information Retrieval ESSIR 2005
Technical Report V-949, ICS AS CR, Prague, 2006, 8p.
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Nováček Vít
Ontology Learning
Diploma Thesis, Brno: Faculty of Informatics, Masaryk University, 2006. 65 p.
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