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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: Barbuti, Roberto | Maggiolo-Schettini, Andrea | Milazzo, Paolo | Tesei, Luca
Article Type: Research Article
Abstract: To study systems whose dynamics changes with time, an extension of timed P systems is introduced in which evolution rules may vary with time. The proposed model is a timed automaton with a discrete time domain and in which each state is a timed P system. A result on expressive power and on features of the formalism sufficient for full expressiveness is proved and, as an application example, the model of an ecological system is given.
DOI: 10.3233/FI-2009-114
Citation: Fundamenta Informaticae, vol. 94, no. 1, pp. 1-19, 2009
Authors: Goré, Rajeev | Nguyen, Linh Anh
Article Type: Research Article
Abstract: We develop clausal tableau calculi for six multimodal logics variously designed for reasoning about multi-degree belief, reasoning about distributed systems of belief and for reasoning about epistemic states of agents in multi-agent systems. Our tableau calculi are sound, complete, cut-free and have the analytic superformula property, thereby giving decision procedures for all of these logics. We also use our calculi to obtain complexity results for five of these logics. The complexity of the remaining …logic was known. Show more
Keywords: modal logics for agent-based systems, theorem proving for modal logics, complexity and decidability of modal logics
DOI: 10.3233/FI-2009-115
Citation: Fundamenta Informaticae, vol. 94, no. 1, pp. 21-40, 2009
Authors: Kondo, Michiro
Article Type: Research Article
Abstract: In this paper we consider the problem whether for a map φ : A(B) → B there is a relation R on A(B) such that properties of a map φ: B → B are reflected to R. This is a converse problem that J. Järvinen proved in [5]. We give an affirmative answer to the problem. Moreover we give equational bases which characterize properties of the map φ. This means that the classes of some types of algebras form varieties. …Hence, there are full correspondence between properties of relations and varieties of modal algebras. Show more
Keywords: generalized rough sets, atomic Boolean algebra, modal algebra
DOI: 10.3233/FI-2009-116
Citation: Fundamenta Informaticae, vol. 94, no. 1, pp. 41-48, 2009
Authors: Madalińska-Bugaj, Ewa | Łukaszewicz, Witold
Article Type: Research Article
Abstract: In this paper we generalize the MPMA belief update operator by admitting first-order knowledge bases and restricted first-order update formulae. This allows us to consider scenarios which cannot be properly formalized either in the originalMPMA or in other existing approaches to belief update.
DOI: 10.3233/FI-2009-117
Citation: Fundamenta Informaticae, vol. 94, no. 1, pp. 49-61, 2009
Authors: Margenstern, Maurice
Article Type: Research Article
Abstract: In this paper, we look at the following question. We consider cellular automata in the hyperbolic plane, see [6, 22, 9, 12] and we consider the global function defined on all possible configurations. Is the injectivity of this function undecidable? The problem was answered positively in the case of the Euclidean plane by Jarkko Kari, in 1994, see [4]. In the present paper, we show that the answer is also positive for the hyperbolic plane: the problem …is undecidable. Show more
Keywords: cellular automata, hyperbolic plane, tessellations
DOI: 10.3233/FI-2009-118
Citation: Fundamenta Informaticae, vol. 94, no. 1, pp. 63-99, 2009
Authors: Ju. Moshkov, Mikhail | Piliszczu, Marcin | Zielosko, Beata
Article Type: Research Article
Abstract: This paper is devoted to the study of approximate algorithms for minimization of the total weight of attributes occurring in partial association rules. We consider mainly greedy algorithms with weights for construction of rules. The paper contains bounds on precision of these algorithms and bounds on the minimal weight of partial association rules based on an information obtained during the greedy algorithm run.
Keywords: Rough sets, information systems, weights, association rules, greedy algorithms
DOI: 10.3233/FI-2009-119
Citation: Fundamenta Informaticae, vol. 94, no. 1, pp. 101-120, 2009
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