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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.


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.


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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Results - Publications

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Abdelsalam Almarimi, Pokorný Jaroslav
Schema Management for Data Integration: A Short Survey
In: Acta Polytechnica, Volume: 45, No: 1, Czech Technical University in Prague, Prague, 2005, pp. 24-27.
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Abdelsalam Almarimi, Pokorný Jaroslav
A Mediation Layer for Heterogenous XML Schemas
In: International Journal of Web Information Systems, Volume: 1, No: 1, Troubador Publishing LTD, 2005, pp. 25-32.
Presented at: iiWAS2004 Information Integration and Web Based Applications & Services, 27-29.09.2004, Jakarta, Indonesia.
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Abdelsalam Almarimi, Pokorný Jaroslav
A Mediation Layer for Heterogenous XML Schemas
Presented at: iiWAS2004 Information Integration and Web Based Applications & Services, 27-29.09.2004, Jakarta, Indonesia.
Bednárek David
Statická typová kontrola XSLT programů
In: Proceedings of ITAT 2005, Information Technologies - Applications and Theory, (Ed. Vojtáš P.), Prírodovedecká fakulta Univerzity Pavla Jozefa Šafárika, Košice, 2005, pp. 393-401. ISBN: 80-7097-609-8
Presented at: ITAT 2005, 20.9. - 25.9.2005, Račkova dolina, Slovakia.
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Bednárek David, Obdržálek David, Yaghob Jakub, Zavoral Filip
Data Integration Using DataPile Structure
In: Proceedings of the 9th East-European Conference on Advances in Databases and Information Systems, Tallin, 2005, pp. 178-188.
Presented at: 9th East-European Conference on Advances in Databases and Information Systems (ADBIS 2005), 12.9.-15.9.2005, Tallin, Estonia.
Dokulil Jiří, Yaghob Jakub, Zavoral Filip
Evoluce replikačních algoritmů v stohově orientovaných systémech
In: Proceedings of ITAT 2005, Information Technologies - Applications and Theory, (Ed. Vojtáš P.), Prírodovedecká fakulta Univerzity Pavla Jozefa Šafárika, Košice, 2005, pp. 393-401. ISBN: 80-7097-609-8
Presented at: ITAT 2005, 20.9. - 25.9.2005, Račkova dolina, Slovakia.
Obdržálek David, Kulhánek Jiří
Statická typová kontrola XSLT programů
In: Proceedings of ITAT 2005, Information Technologies - Applications and Theory, (Ed. Vojtáš P.), Prírodovedecká fakulta Univerzity Pavla Jozefa Šafárika, Košice, 2005, pp. 393-401. ISBN: 80-7097-609-8
Presented at: ITAT 2005, 20.9. - 25.9.2005, Račkova dolina, Slovakia.
Paper in pdf format
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Pokorný Jaroslav
Digitální knihovny v prostředí Sémantického webu
In: Sborník z 10. ročníku semináře AKP 2005 (automatizace knihovnických procesů - 10.), (Ed. D. Tkačíková, B. Ramajzlová), VIC ČVUT, 2005, pp. 64-73.
Presented at: AKP 2005 (Automatizace knihovnických procesů) 10. ročník semináře, 3.5.-4.5.2005, Liberec, Czech Republic.
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Pokorný Jaroslav
Směrem k Sémantickému Webu
In: Sborník příspěvků 20. ročníku konference Moderní databáze, KOMIX, Roudnice nad Labem, 2005, pp. 15-24.
Presented at: 20. ročník konference Moderní databáze, 26.5.-27.5.2005, Hotel Amber, Roudnice nad Labem, Czech Republic.
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Pokorný Jaroslav, Smižanský J.
Page Content Rank: an Approach to the Web Content Mining
In: Proceedings of IADIS International Conference Applied Computing, Volume: 1, IADIS Press, 2005, pp. 289-296. ISBN: 3-540-31198-X
Presented at: IADIS International Conference Applied Computing, 22.2.-25.2. 2005, Algavre, Portugal.
Paper in pdf format
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Pokorný Jaroslav
Database architectures: current trends and their relationships to environmental data management
In: Proceedings of the 19th Conference EnviroInfo, Masaryk University, Brno, 2005, pp. 24-28.
Presented at: 19th Conference EnviroInfo (Informatics for Environmental Protection, Networking Environmental Information), 7.9.-9.9.2005, Brno, Czech Republic.
Paper in pdf format
Pokorný Jaroslav, Reschke J.
Exporting relational data into a native XML store
Presented at: ISD 2005 - International Conference on Information Systems Development, 14.8.-17.8.2005, Karlstad, Sweden.
Paper in html format
Skopal Tomáš, Pokorný Jaroslav, Snášel Václav
Nearest Neighbours Search using the PM-tree
In: Procedings of The 10th International Conference on Database Systems for Advanced Applications, LNCS 3453, Springer-Verlag, 2005, pp. 803-815.
Presented at: DASFAA 2005, 17.4.-20.4.2005, Beijing, China.
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Snášel Václav, Moravec Pavel, Pokorný Jaroslav
WordNet Ontology Based Model for Web Retrieval
In: Proceedings of International Workshop on Challenges in Web Information Retrieval and Integration (WIRI) 2005, IEEE Computer Society Press, 2005, pp. 231-236.
Presented at: International Workshop on Challenges in Web Information Retrieval and Integration, 8.4.-9.4. 2005, Tokyo, Japan.
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Snášel Václav, Moravec Pavel, Pokorný Jaroslav
Using BFA with wordnet ontology based model for web retrieval
In: Proceedings of the First IEEE International Conference on Signal-Image Technology & Internet-Based Systems (SITIS`05), 2005, pp. 254-259.
Presented at: First IEEE International Conference on Signal-Image Technology & Internet-Based Systems (SITIS`05), 27.11.-1.12.2005, Yaoundé, Cameroon.
Vojtáš Peter
Proceedings of ITAT 2005, Information Technologies - Applications and Theory
In: Proceedings of ITAT 2005, Information Technologies - Applications and Theory, (Ed. Vojtáš P.), Prírodovedecká fakulta Univerzity Pavla Jozefa Šafárika, Košice, 2005. ISBN: 80-7097-609-8
Vojtáš Peter
Fuzzy Logic as an Optimization Task
In: Fuzzy Logic and Technology, (Ed. Sobrevilla P., Montseny E.), Barcelona, 2005, pp. 781-786. ISBN: 84-7683-872-3
Presented at: EUSFLAT - LFA 2005. Conference of the European Society for Fuzzy Logic and Technology /13./, Recontres Francophones sur la Logique Floue et ses Applications /11./, 7.9.-9.9.2005, Barcelona, Spain.
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