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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.
Article Type: Other
DOI: 10.3233/FI-1984-7401
Citation: Fundamenta Informaticae, vol. 7, no. 4, pp. i-vi, 1984
Authors: Dańko, Wiktor
Article Type: Research Article
Abstract: In this paper we propose to transform the Algorithmic Theory of Stacks (cf. Salwicki [30]) into a logic for expressing and proving properties of programs with stacks. We compare this logic to the Weak Second Order Logic (cf. [11, 15]) and prove theorems concerning axiomatizability without quantifiers (an analogon of Łoś-Tarski theorem) and χ 0 - categoricity (an analogon of Ryll-Nardzewski’s theorem).
Keywords: logics of programs, infinitary logics, categoricity in power, data structures
DOI: 10.3233/FI-1984-7402
Citation: Fundamenta Informaticae, vol. 7, no. 4, pp. 391-428, 1984
Authors: Burkhard, Hans-Dieter | Starke, Peter H.
Article Type: Research Article
Abstract: In this paper systems are investigated which consist of a Petri net and a control device. In any situation of the systems the control device selects one (or some) of the (concurrently) enabled transitions of the net and orders them to fire – this way solving conflicts, avoiding deadlocks etc. The results concern the corresponding decidability problems and the question whether it is possible to carry over such properties as deadlock avoidance and liveness from the uncontrolled net to a controlled net and vice versa.
Keywords: Petri net, conflict resolution, deadlock, liveness, controlled nets, counter machine
DOI: 10.3233/FI-1984-7403
Citation: Fundamenta Informaticae, vol. 7, no. 4, pp. 429-445, 1984
Authors: Radev, Slavian
Article Type: Research Article
Abstract: A family of propositional logics of programs with Kripke-style semantics is introduced. A global deductive system is given and the completeness of the logics from that family is proved.
Keywords: abstract languages, propositional logics of programs, modal theories, completeness theorem, propositional dynamic logics
DOI: 10.3233/FI-1984-7404
Citation: Fundamenta Informaticae, vol. 7, no. 4, pp. 447-482, 1984
Authors: Grzymała-Busse, Jerzy W. | Pawlak, Zdzisław
Article Type: Research Article
Abstract: This paper contains a simple algorithm for minimal partition of a set, which is the departure point to study attribute dependencies in information system (see [3], [6], [7], [9]). Theoretical properties of such partitions have been studied by Łoś (see [5]) and the proposed algorithm has been implemented by Stevens (see [8]). The implementation shows many practical advantages of the proposed method.
Keywords: partition, block, minimal nontrivial partition, minimal number of partitions
DOI: 10.3233/FI-1984-7405
Citation: Fundamenta Informaticae, vol. 7, no. 4, pp. 483-488, 1984
Authors: Štěpánková, Olga | Havel, Ivan M.
Article Type: Research Article
Abstract: The paper discusses the role of iteration in robot plans constructed in the framework of predicate logic. It is shown that, unless some special axioms are added, the class of solvable tasks is not enlarged by admitting iteration in plans.
Keywords: robot planning, dynamic logic, situation calculus, iteration
DOI: 10.3233/FI-1984-7406
Citation: Fundamenta Informaticae, vol. 7, no. 4, pp. 489-501, 1984
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