A semantics and a logic for Fuzzy Arden Syntax
Autor: | Gomes, Leandro Rafael Moreira, Madeira, Alexandre Leite Castro, Barbosa, L. S. |
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Přispěvatelé: | Universidade do Minho |
Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: | |
Popis: | Fuzzy programming languages, such as the Fuzzy Arden Syntax (FAS), are used to describe behaviours which evolve in a fuzzy way and thus cannot be characterized neither by a Boolean outcome nor by a probability distribution. This paper introduces a semantics for FAS, focusing on the weighted parallel interpretation of its conditional statement. The proposed construction is based on the notion of a fuzzy multirelation which associates with each state in a program a fuzzy set of weighted possible evolutions. The latter is parametric on a residuated lattice which models the underlying semantic ‘truth space’. Finally, a family of dynamic logics, equally parametric on the residuated lattice, is introduced to reason about FAS programs This work was founded by the ERDF — European Regional Development Fund through the Operational Programme for Competitiveness and Internationalisation — COMPETE 2020 Pro gramme and by National Funds through the Portuguese funding agency, FCT — Fundação para a Ciência e a Tecnologia, within projects POCI-01-0145-FEDER-030947and POCI-01-0145-FEDER-029946 |
Databáze: | OpenAIRE |
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