Functorial concepts of complexity for finite automata
Theory and applications of categories, The Carboni Festschrift, Tome 13 (2004), pp. 164-168.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

Some unsolved problems about the classifying topos for Boolean algebras, as well as about the axiomatic arithmetic of finite combinatorial toposes, are closely connected with some simple distinctions between finite automata.
Classification : 05C35, 11B39, 11U10, 18B20, 18B25
Keywords: Automata, measurable cardinals, Aufhebung, finite topos, axiomatic arithmetic
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     author = {F. William Lawvere},
     title = {Functorial concepts of complexity for finite automata},
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F. William Lawvere. Functorial concepts of complexity for finite automata. Theory and applications of categories, The Carboni Festschrift, Tome 13 (2004), pp. 164-168. http://geodesic.mathdoc.fr/item/TAC_2004_13_a9/