Abstract:We investigate the membership problem that one may associate to every class of languages C. The problem takes a regular language as input and asks whether it belongs to C. In practice, finding an algorithm provides a deep insight on the class C. While this problem has a long history, many famous open questions in automata theory are tied to membership. Recently, a breakthrough was made on several of these open questions. This was achieved by considering a more general decision problem than membership: covering… Show more
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