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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: Srebrny, Marian | St�pień, Lidia
Article Type: Research Article
Abstract: In this paper we present an application of the propositional SATisfiability environment to computing bases of some vector spaces. As a motivation we refer to certain computational tasks in the area of the algebraic theory of quadratic forms; more precisely, in the theory of Witt rings of quadratic forms. As known in algebra, the problem of finding all automorphisms of an elementary Witt ring can be reduced to searching for some special kind of bases of …certain vector space over the two-element Galois field. We show how one can code a search for some kind of bases as a propositional formula in such a way that its satisfying valuations code the desired bases. Some encouraging experimental results are reported for the proposed propositional search procedure using the currently best SAT solvers. Show more
Citation: Fundamenta Informaticae, vol. 81, no. 1-3, pp. 325-345, 2007
Authors: Švejdar, Vítězslav
Article Type: Research Article
Abstract: Q^- is a weaker variant of Robinson arithmetic Q in which addition and multiplication are partial functions, i.e. ternary relations that are graphs of possibly non-total functions. We show that Q is interpretable in Q^- . This gives an alternative answer to a question of A. Grzegorczyk whether Q^- is essentially undecidable.
Citation: Fundamenta Informaticae, vol. 81, no. 1-3, pp. 347-354, 2007
Authors: Woleński, Jan
Article Type: Research Article
Citation: Fundamenta Informaticae, vol. 81, no. 1-3, pp. 355-365, 2007
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