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Eilenberg Theorems for Free
[article]
2017
arXiv
pre-print
Eilenberg-type correspondences, relating varieties of languages (e.g. of finite words, infinite words, or trees) to pseudovarieties of finite algebras, form the backbone of algebraic language theory. Numerous such correspondences are known in the literature. We demonstrate that they all arise from the same recipe: one models languages and the algebras recognizing them by monads on an algebraic category, and applies a Stone-type duality. Our main contribution is a variety theorem that covers
arXiv:1602.05831v3
fatcat:rkuqhflgobfnhihwkauoolx5rm