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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 (2004-ui)



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Wiedermann Jiří
Self-Reproducing by Self-Assembly and Fission
In: Developments in Language Theory. Supplemental Papers. - Auckland, CDMTCS 2004, pp. 1-10
Presented at: DLT'04 - International Conference on Developments in Language Theory /8./, Auckland, New Zeland, 13.-17.12.2004
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Wiedermann Jiří
Self-Reproducing Self-Assembling Evolutionary Automata.
In: Tillings and Cellular Automata - Auckland, CDMTCS 2004, pp. 1-15
Presented at: International Workshop on Tillings and Cellular Automata, Auckland, New Zeland, 13.-17.12.2004
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Neruda Roman, Krušina Pavel
A Framework for Modelling and Estimating Complexity in Multi-Agent Systems
In: Paralel and Distributed Computing and Systems, ACTA Press 2004, pp. 602-607. ISBN: 088986-423-3
Presented at: PDCS 2004 - IASTED International Conference on Parallel and Distributed Computing Systems (16.), Cambridge, MIT, USA, 09.-11.11.2004.
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Krušina Pavel
Models of Multi-Agent Systems
In: Doktorandský den '04, MATFYZPRESS 2004, pp. 58. ISBN 80-86732-30-4.
Presented at: Institute of Computer Science Ph.D. Student's Days, Paseky nad Jizerou, Czech Republic. 29.09.-01.10.2004.
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Linková Zdeňka
Integrace dat a sémantický web
In: Doktorandský den '04, MATFYZPRESS 2004, pp. 66-74. ISBN 80-86732-30-4.
Presented at: Institute of Computer Science Ph.D. Student's Days, Paseky nad Jizerou, Czech Republic. 29.09.-01.10.2004.
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Nedbal Radim
Relational Databases with Ordered Relations
In: Doktorandský den '04, MATFYZPRESS 2004, pp. 75-83. ISBN 80-86732-30-4.
Presented at: Institute of Computer Science Ph.D. Student's Days, Paseky nad Jizerou, Czech Republic. 29.09.-01.10.2004.
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Řimnáč Martin
Rekonstrukce databazoveho modelu na zaklade dat (studie proveditelnosti)
In: Doktorandský den '04, MATFYZPRESS 2004, pp. 113-120. ISBN 80-86732-30-4.
Presented at: Institute of Computer Science Ph.D. Student's Days, Paseky nad Jizerou, Czech Republic. 29.09.-01.10.2004.
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Špánek Roman
Security in Mobile Enviroment
In: Doktorandský den '04, MATFYZPRESS 2004, pp. 149-155. ISBN 80-86732-30-4.
Presented at: Institute of Computer Science Ph.D. Student's Days, Paseky nad Jizerou, Czech Republic. 29.09.-01.10.2004.
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Beuster Gerd, Neruda Roman
Configuring Computational Agents
In: Knowledge Grid and Grid Intelligence 2004, Halifax, Saint Mary's University 2004, pp. 57-62. ISBN 0-9734039-8-5.
Presented at: International Workshop on Knowledge Grid and Grid Intelligence (2.), Peking, China. 20.-24.09.2004.
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Neruda Roman, Krušina Pavel, Kudová Petra, Rydvan Pavel, Beuster Gerd
Bang 3: A Computational Multi-Agent System
In: Intelligent Agent Technology. Piscataway, IEEE 2004, pp. 563-564. ISBN 0-7695-2101-0.
Presented at: IEEE/WIC/ACM - Intelligent Agent Technology, Peking, China. 20.-24.09.2004
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Řimnáč Martin
Rekonstrukce databazoveho modelu na zaklade nepresnych dat
Presented at: ITAT 2004, Workshop on Information Technologies - Applications and Theory, High Tatra, Slovakia. 15.9.-19.09.2004. University UPJC, Kosice.
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Wiedermann Jiří
Problem softwarovych agentu a semanticky web
Presented at: ITAT 2004, Workshop on Information Technologies - Applications and Theory, High Tatra, Slovakia. 15.9.-19.09.2004. University UPJC, Kosice.
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Kudová Petra, Neruda Roman
Learning in Radial Basis Function Networks and Regularization networks
Poster Presentation at: Sheffield Machine Learning Workshop, Sheffield, Great Britain. 07.9.-10.09.2004.
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Řezanková H., Húsek Dušan, Snášel Václav
Clustering as a Tool for Data Mining
In: Applications of Mathematics and Statistics in Economy. Praha, Professional Publishing 2004, pp. 203-208. ISBN 80-86419-77-0.
Presented at: 7th International Scientific Conference, České Budějovice, Czech Republic. 2.9.-3.09.2004
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