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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: Barozzini, David | Clemente, Lorenzo | Colcombet, Thomas | Parys, Paweł
Article Type: Research Article
Abstract: In this work we prove decidability of the model-checking problem for safe recursion schemes against properties defined by alternating B-automata. We then exploit this result to show how to compute downward closures of languages of finite trees recognized by safe recursion schemes. Higher-order recursion schemes are an expressive formalism used to define languages of finite and infinite ranked trees by means of fixed points of lambda terms. They extend regular and context-free grammars, and are equivalent in expressive power to the simply typed λY -calculus and collapsible pushdown automata. Safety in a syntactic restriction which limits their expressive power. …The class of alternating B-automata is an extension of alternating parity automata over infinite trees; it enhances them with counting features that can be used to describe boundedness properties. Show more
Keywords: Cost logics, cost automata, downward closures, higher-order recursion schemes, safe recursion schemes
DOI: 10.3233/FI-222145
Citation: Fundamenta Informaticae, vol. 188, no. 3, pp. 127-178, 2022
Authors: Jančar, Petr | Valůšek, Jiří
Article Type: Research Article
Abstract: We look in detail at the structural liveness problem (SLP) for subclasses of Petri nets, namely immediate observation nets (IO nets) and their generalized variant called branching immediate multi-observation nets (BIMO nets), that were recently introduced by Esparza, Raskin, and Weil-Kennedy. We show that SLP is PSPACE-hard for IO nets and in PSPACE for BIMO nets. In particular, we discuss the (small) bounds on the token numbers in net places that are decisive for a marking to be (non)live.
Keywords: Petri nets, immediate observation nets, structural liveness, complexity
DOI: 10.3233/FI-222146
Citation: Fundamenta Informaticae, vol. 188, no. 3, pp. 179-215, 2022
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