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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

Year 2008 Year 2007 Year 2006 Year 2005 Year 2004 Years 2004-2008
 
The list of publications in RDF format

 
 
2008
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17
32
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59 / 12
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24
35
20
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2007
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37
30
21
82 / 27
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45
38
23
98 / 33
 
2006
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8 / 1
34
28
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74 / 36
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11 / 5
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57
41
24
111 / 45
 
2005
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14
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36 / 12
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5 / 4
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30
17
5
47 / 17
 
2004
14
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21 / 15
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14
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21 / 15
 
2004-2008
 
 
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175
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Paper in pdf format
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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.
Paper in pdf format
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Linková Zdeňka
Data Integration in VirGIS and in the Semantic Web
Technical Report: V-922, ICS AS CR, Prague, 2005, 11 p.
Paper in pdf format
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Linková Zdeňka
The Logic Summer School 2004
Technical Report: V-925, ICS AS CR, Prague, 2005, 10 p.
Paper in pdf format
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Linková Zdeňka, Nedbal Radim, Řimnáč Martin
Building Ontologies for GIS
Technical Report: V-932, ICS AS CR, 2005, 9 p.
Paper in pdf format
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Linková Zdeňka, Nedbal Radim
Building Ontologies for GIS - Part 2
Technical Report: V-938, ICS AS CR, 2005, 12 p.
Paper in pdf format
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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
Mlýnková Irena
XML Schema Inference: A Study
Technical Report: 2008/6, Dep. of Software Engineering, MFF, Charles University, Prague, 2008, 18 p.
Paper in pdf format
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Mlýnková Irena
UserMap - an Enhancing of User-Driven XML-to-Relational Mapping Strategies
Technical Report: 2007/3, Charles University, Prague, 2007, 38 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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Mlýnková Irena
UserMap - an Exploitation of User-Specified XML-to-Relational Mapping Requirements and Related Problems
Technical Report: 2007/8, Charles University, Prague, 2007, 26 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.
Paper in pdf format
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Neruda Roman, Vaculín Roman
Concept nodes architecture within the Bang3 system
Technical Report: V-947, ICS AS CR, 2005
Paper in pdf format
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Novák David, Zezula Pavel
LOBS: Load Balancing for Similarity Peer-to-Peer Structures
Technical Report: FIMU-RS-2007-04, Faculty of Informatics, Masaryk University, Brno, 2007, 22 p.
Paper in pdf format
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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.
Paper in pdf format
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Sedmidubský Jan, Bartoň Stanislav, Dohnal Vlastislav, Zezula Pavel
Adaptive Approximate Similarity Searching through Metric Social Networks
Technical Report: FIMU-RS-2007-06, Faculty of Informatics, Masaryk University, Brno, 2007, 22 p.
Paper in pdf format
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Špánek Roman
Web Search Engines and Linear Algebra
Technical Report: V-974, ICS AS CR, Prague, 2006, 7 p.
Paper in pdf format
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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
Paper in pdf format
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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.
Paper in pdf format
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Wiedermann Jiří, Petrů Lukáš
On the Universal Computing Power of Amorphous Computing Systems
Technical Report: V-1009, ICS AS CR, Prague, 2007, 11 p.
Paper in pdf format
See abstract
Wiedermann Jiří, Petrů Lukáš
Communicating Mobile Nano-Machines and Their Computational Power
Technical Report: V-1024, ICS AS CR, Prague, 2008, 9 p.
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