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Fundamenta Informaticae is an international journal publishing original research results in all areas of theoretical computer science. Papers are encouraged contributing:
- solutions by mathematical methods of problems emerging in computer science
- solutions of mathematical problems inspired by computer science.
Topics of interest include (but are not restricted to): theory of computing, complexity theory, algorithms and data structures, computational aspects of combinatorics and graph theory, programming language theory, theoretical aspects of programming languages, computer-aided verification, computer science logic, database theory, logic programming, automated deduction, formal languages and automata theory, concurrency and distributed computing, cryptography and security, theoretical issues in artificial intelligence, machine learning, pattern recognition, algorithmic game theory, bioinformatics and computational biology, quantum computing, probabilistic methods, & algebraic and categorical methods.
Authors: Czaja, Ludwik
Article Type: Other
DOI: 10.3233/FI-2010-270
Citation: Fundamenta Informaticae, vol. 101, no. 1-2, pp. v-v, 2010
Authors: Czaja, Ludwik | Kudlek, Manfred
Article Type: Research Article
Abstract: We extend the investigation of synthesis and analysis of net structures and transition graphs to such with inhibitor relations, and show that the results obtained for the simpler case can be extended, too.
DOI: 10.3233/FI-2010-271
Citation: Fundamenta Informaticae, vol. 101, no. 1-2, pp. 1-7, 2010
Authors: Knapik, Michał | Penczek, Wojciech | Szreter, Maciej | , Agata | Półrola,
Article Type: Research Article
Abstract: Bounded Model Checking (BMC) is an efficient technique applicable to verification of temporal properties of (timed) distributed systems. In this paper we show for the first time how to apply BMC to parametric verification of time Petri nets with discrete-time semantics. The properties are expressed by formulas of the logic PRTECTL - a parametric extension of the existential fragment of Computation Tree Logic (CTL).
DOI: 10.3233/FI-2010-272
Citation: Fundamenta Informaticae, vol. 101, no. 1-2, pp. 9-27, 2010
Authors: Köhler-Bußmeier, Michael | Heitmann, Frank
Article Type: Research Article
Abstract: In this paper we discuss the concept of safeness for Elementary Object Nets (EOS). Object nets are Petri nets which have Petri nets as tokens – an approach known as the nets-within-nets paradigm. Object nets are called elementary if the net system has a two levelled structure. The well known p/t nets can be considered as a special case of EOS. For p/t nets the concept of safeness means that there is at most one token on each place. Since object nets have nested markings there are different possibilities to generalise this idea for EOS. In this paper we define …different variants of EOS safeness, discuss their relationships, show that they all coincide for p/t-like EOS, and address the complexity of well known Petri net problems like reachability and liveness for this new class of object nets. Show more
DOI: 10.3233/FI-2010-273
Citation: Fundamenta Informaticae, vol. 101, no. 1-2, pp. 29-43, 2010
Authors: Koutny, Maciej | Pietkiewicz-Koutny, Marta
Article Type: Research Article
Abstract: One of the possible ways of constructing concurrent systems is their automated synthesis from behavioural specifications. In this paper, we look at a particular instance of this approach which aims at constructing GALS (globally asynchronous locally synchronous) systems from specifications given in terms of transition systems with arcs labelled by steps of executed actions. GALS systems are represented by Elementary Net Systems with Localities (ENL-systems), each locality defining a set of co-located actions. The synthesis procedure is based on the regions of transition systems and we provide a number of criteria aimed at generating a minimal set of regions (conditions) …of an ENL-system generating a given transition system. Show more
Keywords: theory of concurrency, Petri nets, localities, analysis and synthesis, step sequence semantics, conflict, theory of regions, transition systems
DOI: 10.3233/FI-2010-274
Citation: Fundamenta Informaticae, vol. 101, no. 1-2, pp. 45-58, 2010
Authors: Lomazova, Irina A.
Article Type: Research Article
Abstract: In this work we consider modeling of workflow systems with Petri nets. To increase flexibility and give tools for workflow models re-engineering we extend the formalism of workflow nets by considering systems of interacting nets. Then we study soundness – the main correctness property of workflow processes – and show, that for a special class of structured workflow system soundness can be proved in compositional way.
Keywords: Workflow modeling, Petri nets, soundness, compositionality
DOI: 10.3233/FI-2010-275
Citation: Fundamenta Informaticae, vol. 101, no. 1-2, pp. 59-70, 2010
Authors: Lomuscio, Alessio | Penczek, Wojciech | Qu, Hongyang
Article Type: Research Article
Abstract: We investigate partial order reduction techniques for the verification of multi-agent systems. We investigate the case of interleaved interpreted systems. These are a particular class of interpreted systems, a mainstream MAS formalism, in which only one action at the time is performed in the system. We present a notion of stuttering-equivalence and prove the semantical equivalence of stuttering-equivalent traces with respect to linear and branching time temporal logics for knowledge without the next operator. We give algorithms to reduce the size of the models before the model checking step and show preservation properties. We evaluate the technique by discussing implementations …and the experimental results obtained against well-known examples in the MAS literature. Show more
DOI: 10.3233/FI-2010-276
Citation: Fundamenta Informaticae, vol. 101, no. 1-2, pp. 71-90, 2010
Authors: Pałasiński, Marek | Pancerz, Krzysztof
Article Type: Research Article
Abstract: The aim of this paper is to give the basic view on computing consistent extensions and restrictions of information systems noting some order properties of information system families. Information systems are understood in the Pawlak’s sense as the systems of knowledge representation. The extension appears if we add to the original information system some new objects corresponding to the known attribute values. Analogously, the restriction appears if we remove from the original information system some objects. Presented observations enable us to find proper descriptions (preserving some features) of concurrent systems whose behavior is represented by means of information systems.
DOI: 10.3233/FI-2010-277
Citation: Fundamenta Informaticae, vol. 101, no. 1-2, pp. 91-103, 2010
Authors: Redziejowski, Roman R.
Article Type: Research Article
Abstract: The construction of an associative ω-product of traces from an earlier paper is revisited using projection representation of traces. Using projections instead of trace prefixes results in very simple definitions and proofs.
DOI: 10.3233/FI-2010-278
Citation: Fundamenta Informaticae, vol. 101, no. 1-2, pp. 105-113, 2010
Authors: Suraj, Zbigniew | Grochowalski, Piotr
Article Type: Research Article
Abstract: The main goal of this paper is to give the outline of some approach to intelligent searching the Rough Set Database System (RSDS). RSDS is a bibliographical system containing bibliographical descriptions of publications connected with methodology of rough sets and its applications. The presented approach bases on created ontologies which are models for the considered domain (rough set theory, its applications and related fields) and for information about publications coming from, for example, abstracts.
Keywords: ontology, rough sets, data mining, knowledge discovery, database systems
DOI: 10.3233/FI-2010-279
Citation: Fundamenta Informaticae, vol. 101, no. 1-2, pp. 115-123, 2010
Authors: Wakulicz-Deja, Alicja | Przybyła-Kasperek, Małgorzata
Article Type: Research Article
Abstract: The paper presents the process of taking global decisions on the basis of the knowledge of local decision systems involving the mutually complementary observations of objects which can be mutually contradictory. The authors suggest the organization of local decision systems into a multi-agent system with a hierarchical structure. The structure of multi-agent systems and the theoretical aspects of the organization of the system are presented. A density-based algorithm has been used in the process of taking global decisions. Furthermore the paper presents the results of experiments conducted using realistic data.
Keywords: decision system, multi-agent system, global decision, density-based algorithm
DOI: 10.3233/FI-2010-280
Citation: Fundamenta Informaticae, vol. 101, no. 1-2, pp. 125-141, 2010
Authors: Wolski, Marcin
Article Type: Research Article
Abstract: The paper aims to establish topological links between perception of objects (as it is defined in the framework of near sets) and classification of these objects (as it is defined in the framework of rough sets). In the near set approach, the discovery of near sets (i.e. sets containing objects with similar descriptions) starts with the selection of probe functions which provide a basis for describing and discerning objects. On the other hand, in the rough set approach, the classification of objects is based on object attributes which are collected into information systems (or data tables). As is well-known, an …information system can be represented as a topological space (U, τE ). If we pass froman approximation space (U,E) to the quotient space U/E, where points represent indiscernible objects of U, then U/E will be endowed with the discrete topology induced (via the canonical projection) by τE . The main objective of this paper is to show how probe functions can provide new topologies on the quotient set U/E and, in consequence, new (perceptual) topologies on U. Show more
DOI: 10.3233/FI-2010-281
Citation: Fundamenta Informaticae, vol. 101, no. 1-2, pp. 143-155, 2010
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