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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: Castellani, Ilaria | Dezani-Ciancaglini, Mariangiola | Giannini, Paola
Article Type: Research Article
Abstract: We propose an interpretation of multiparty sessions with asynchronous communication as Flow Event Structures . We introduce a new notion of asynchronous type for such sessions, ensuring the expected properties for multiparty sessions, including progress. Our asynchronous types, which reflect asynchrony more directly and more precisely than standard global types and are more permissive, are themselves interpreted as Prime Event Structures . The main result is that the Event Structure interpretation of a session is equivalent, when the session is typable, to the Event Structure interpretation of its asynchronous type, namely their domains of configurations are isomorphic.
Keywords: Communication-centric Systems, Communication-based Programming, Process Calculi, Event Structures, Multiparty Session Types
DOI: 10.3233/FI-242188
Citation: Fundamenta Informaticae, vol. 192, no. 1, pp. 1-75, 2024
Authors: Guttmann, Walter
Article Type: Research Article
Abstract: This paper studies how to use relation algebras, which are useful for high-level specification and verification, for proving the correctness of lower-level array-based implementations of algorithms. We give a simple relation-algebraic semantics of read and write operations on associative arrays. The array operations seamlessly integrate with assignments in computation models supporting while-programs. As a result, relation algebras can be used for verifying programs with associative arrays. We verify the correctness of an array-based implementation of disjoint-set forests using the union-by-rank strategy and find operations with path compression, path splitting and path halving. All results are formally proved in Isabelle/HOL. This …paper is an extended version of [1]. Show more
Keywords: arrays, Kleene algebras, path compression, program verification, relation algebras, union-find
DOI: 10.3233/FI-242189
Citation: Fundamenta Informaticae, vol. 192, no. 1, pp. 77-120, 2024
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