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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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Ali K., Pokorný Jaroslav
XML-based Temporal Models
Technical Report: DC-2006-02, Dep. of Comp. Sc. and Engineering, FEE TU, Prague, 2006, 39 p.
Paper in pdf format
Bartoň Stanislav, Zezula Pavel
rho-Index - Designing and Evaluating an Indexing Structure for Graph Structured Data
Technical Report: FIMU-RS-2006-07, FI MU, Brno, 2006, 24 p.
Paper in pdf format
Daniel Milan
The minC Combination of Belief Functions: Derivation and Formulas
Technical Report: V-964, ICS AS CR, Prague, 2006, 19 p.
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Linková Zdeňka
European Summer School in Information Retrieval ESSIR 2005
Technical Report: V-949, ICS AS CR, Prague, 2006, 8 p.
Paper in pdf format
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Mlýnková Irena, Toman Kamil, Pokorný Jaroslav
Statistical Analysis of Real XML Data Collections
Technical Report: 2006/5, MFF UK, Prague, 2006, 39 p.
Paper in pdf format
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Nečaský Martin
Conceptual Modeling for XML: A Survey
Technical Report: 2006-3, Dep. of Software Engineering, Faculty of Mathematics and Physics, Charles University, Prague, 2006, 54 p.
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Petrů Lukáš, Wiedermann Jiří
A Model of an Amorphous Computer and its Communication Protocol
Technical Report: V-970, ICS AS CR, Prague, 2006, 8 p.
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Špánek Roman
Web Search Engines and Linear Algebra
Technical Report: V-974, ICS AS CR, Prague, 2006, 7 p.
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Van Leeuwen Jan, Wiedermann Jiří
Lazy Autoconfiguration in Mobile Ad Hoc Networks and Dynamic Sets of Mobile Agents
Technical Report: UU-CS-2006-018, Department of Information and Computing Sciences, Utrecht University, Utrecht, 2006
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Wiedermann Jiří
HUGO: A Cognitive Architecture with an Incorporated World Model
Technical Report: V-966, ICS AS CR, Prague, 2006, 15 p.
Paper in pdf format
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Wiedermann Jiří
Chtěli byste být mozkem v baňce?
Technical Report: V-967, ICS AS CR, Prague, 2006, 7 p.
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