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A (co)algebraic theory of succinct automata [PDF]

open access: yesJ. Log. Algebraic Methods Program., 2019
The classical subset construction for non-deterministic automata can be generalized to other side-effects captured by a monad. The key insight is that both the state space of the determinized automaton and its semantics—languages over an alphabet—have a ...
Gerco van Heerdt   +3 more
semanticscholar   +3 more sources

Greibach Normal Form for ω-Algebraic Systems and Weighted Simple ω-Pushdown Automata [PDF]

open access: yesInformation and Computation, 2020
In weighted automata theory, many classical results on formal languages have been extended into a quantitative setting. Here, we investigate weighted context-free languages of infinite words, a generalization of $\omega$-context-free languages (Cohen ...
M. Droste, S. Dziadek, W. Kuich
semanticscholar   +3 more sources

Logic Meets Algebra: the Case of Regular Languages [PDF]

open access: yesLogical Methods in Computer Science, 2007
The study of finite automata and regular languages is a privileged meeting point of algebra and logic. Since the work of Buchi, regular languages have been classified according to their descriptive complexity, i.e.
Pascal Tesson, Denis Therien
doaj   +2 more sources

Finite automata over algebraic structures: models and some methods of analysis [PDF]

open access: yesComputer Science Journal of Moldova, 2015
In this paper some results of research in two new trends of finite automata theory are presented. For understanding the value and the aim of these researches some short retrospective analysis of development of finite automata theory is given.
Volodymyr V. Skobelev   +1 more
doaj   +1 more source

Regular Cost Functions, Part I: Logic and Algebra over Words [PDF]

open access: yesLogical Methods in Computer Science, 2013
The theory of regular cost functions is a quantitative extension to the classical notion of regularity. A cost function associates to each input a non-negative integer value (or infinity), as opposed to languages which only associate to each input the ...
Thomas Colcombet
doaj   +1 more source

On Intuitionistic Fuzzy Context-Free Languages

open access: yesJournal of Applied Mathematics, 2013
Taking intuitionistic fuzzy sets as the structures of truth values, we propose the notions of intuitionistic fuzzy context-free grammars (IFCFGs, for short) and pushdown automata with final states (IFPDAs).
Jianhua Jin, Qingguo Li, Chunquan Li
doaj   +1 more source

Varieties of Languages in a Category [PDF]

open access: yes2015 30th Annual ACM/IEEE Symposium on Logic in Computer Science, 2015
Eilenberg's variety theorem, a centerpiece of algebraic automata theory, establishes a bijective correspondence between varieties of languages and pseudovarieties of monoids.
J. Adámek   +3 more
semanticscholar   +1 more source

THE TRANSPOSITION AXIOM IN HYPERCOMPOSITIONAL STRUCTURES

open access: yesRatio Mathematica, 2011
The hypergroup (as defined by F. Marty), being a very general algebraic structure, was subsequently quickly enriched with additional axioms. One of these is the transposition axiom, the utilization of which led to the creation of join spaces (join ...
Ch.G. Massouros, G.G. Massouros
doaj  

Generalized rough and fuzzy rough automata for semantic computing. [PDF]

open access: yesInt J Mach Learn Cybern, 2022
Yadav S, Tiwari SP, Kumari M, Yadav VK.
europepmc   +1 more source

Verifiable biology. [PDF]

open access: yesJ R Soc Interface, 2023
Konur S, Gheorghe M, Krasnogor N.
europepmc   +1 more source

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