@article(Ant96, author = {Valentin~M. Antimirov}, year = {1996}, title = {Partial Derivatives of Regular Expressions and Finite Automaton Constructions}, journal = {Theor. Comput. Sci.}, volume = {155}, number = {2}, pages = {291--319}, doi = {10.1016/0304-3975(95)00182-4}, ) @article(BS86, author = {Gerard Berry and Ravi Sethi}, year = {1986}, title = {From regular expressions to deterministic automata}, journal = {Theoretical computer science}, volume = {48}, pages = {117--126}, doi = {10.1016/0304-3975(86)90088-5}, ) @article(Brzo64, author = {Janusz~A. Brzozowski}, year = {1964}, title = {Derivatives of Regular Expressions}, journal = {J. {ACM}}, volume = {11}, number = {4}, pages = {481--494}, doi = {10.1145/321239.321249}, ) @article(CF11, author = {Pascal Caron and Marianne Flouret}, year = {2011}, title = {From Glushkov WFAs to K-Expressions}, journal = {Fundam. Informaticae}, volume = {109}, number = {1}, pages = {1--25}, doi = {10.3233/FI-2011-427}, ) @article(CLOZ04, author = {Jean{-}Marc Champarnaud and {\'{E}}ric Laugerotte and Faissal Ouardi and Djelloul Ziadi}, year = {2004}, title = {From Regular Weighted Expressions To Finite Automata}, journal = {Int. J. Found. Comput. Sci.}, volume = {15}, number = {5}, pages = {687--700}, doi = {10.1142/S0129054104002698}, ) @article(CP17, author = {Thomas Colcombet and Daniela Petrisan}, year = {2017}, title = {Automata and minimization}, journal = {{SIGLOG} News}, volume = {4}, number = {2}, pages = {4--27}, doi = {10.1145/3090064.3090066}, ) @inproceedings(AW12, author = {Richard~A. Eisenberg and Stephanie Weirich}, year = {2012}, title = {Dependently typed programming with singletons}, booktitle = {Haskell}, publisher = {{ACM}}, pages = {117--130}, doi = {10.1145/2364506.2364522}, ) @article(Glu61, author = {Victor~Mikhaylovich Glushkov}, year = {1961}, title = {The abstract theory of automata}, journal = {Russian Mathematical Surveys}, volume = {16}, number = {5}, pages = {1}, doi = {10.1070/rm1961v016n05abeh004112}, ) @inproceedings(MPJ95, author = {Mark~P. Jones}, year = {1995}, title = {Functional Programming with Overloading and Higher-Order Polymorphism}, booktitle = {Adv. Func. Prog.}, series = {LNCS}, volume = {925}, publisher = {Springer}, pages = {97--136}, doi = {10.1007/3-540-59451-5\_4}, ) @article(Kle56, author = {S.~Kleene}, year = {1956}, title = {Representation of events in nerve nets and finite automata}, journal = {Automata Studies}, volume = {Ann. Math. Studies 34}, pages = {3--41}, doi = {10.1515/9781400882618-002}, note = {Princeton U. Press}, ) @book(LV12, author = {Jean-Louis Loday and Bruno Vallette}, year = {2012}, title = {Algebraic operads}, volume = {346}, publisher = {Springer Science \& Business Media}, doi = {10.1007/978-3-642-30362-3\_5}, ) @article(LS05, author = {Sylvain Lombardy and Jacques Sakarovitch}, year = {2005}, title = {Derivatives of rational expressions with multiplicity}, journal = {Theor. Comput. Sci.}, volume = {332}, number = {1-3}, pages = {141--177}, doi = {10.1016/j.tcs.2004.10.016}, ) @book(May06, author = {J~Peter May}, year = {2006}, title = {The geometry of iterated loop spaces}, volume = {271}, publisher = {Springer}, doi = {10.1007/BFb0067491}, ) @misc(AppWeb, author = {Ludovic Mignot}, title = {Application: Monadic derivatives}, howpublished = {\url{http://ludovicmignot.free.fr/programmes/monDer/index.html}}, note = {Accessed: 2022-05-26}, ) @phdthesis(LM20, author = {Ludovic Mignot}, year = {2020}, title = {Une proposition d'implantation des structures d'automates, d'expressions et de leurs algorithmes associés utilisant les catégories enrichies (in french)}, type = {Habilitation à diriger des recherches}, school = {Université de Rouen normandie}, doi = {10.48550/arXiv.2012.10641}, url = {https://arxiv.org/abs/2012.10641}, note = {212 pages}, ) @misc(gitLM, author = {Ludovic Mignot}, year = {2022}, title = {Monadic derivatives}, howpublished = {\url{https://github.com/LudovicMignot/MonadicDerivatives}}, ) @article(Sch61, author = {Marcel~Paul Sch{\"u}tzenberger}, year = {1961}, title = {On the definition of a family of automata}, journal = {Inf. Control.}, volume = {4}, number = {2-3}, pages = {245--270}, doi = {10.1016/S0019-9958(61)80020-X}, )