Geodesic
Generic commutative separable algebras and cospans of graphs
Theory and applications of categories, CT2004, Tome 15 (2005), pp. 164-177 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We show that the generic symmetric monoidal category with a commutative separable algebra which has a $\Sigma$-family of actions is the category of cospans of finite $\Sigma$-labelled graphs restricted to finite sets as objects, thus providing a syntax for automata on the alphabet $\Sigma$. We use this result to produce semantic functors for $\Sigma$-automata.

Classification : 18B20, 18D10, 68Q05, 68Q85
Keywords: separable algebra, cospan category 
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     title = {Generic commutative separable algebras and cospans of graphs},
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     year = {2005},
     volume = {15},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2005_15_a5/}
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R. Rosebrugh; N. Sabadini; R.F.C. Walters. Generic commutative separable algebras and cospans of graphs. Theory and applications of categories, CT2004, Tome 15 (2005), pp. 164-177. http://geodesic.mathdoc.fr/item/TAC_2005_15_a5/