Unambiguity in Automata Theory

نویسنده

  • Thomas Colcombet
چکیده

Determinism of devices is a key aspect throughout all of computer science, simply because of considerations of efficiency of the implementation. One possible way (among others) to relax this notion is to consider unambiguous machines: non-deterministic machines that have at most one accepting run on each input. In this paper, we will investigate the nature of unambiguity in automata theory, presenting the cases of standard finite words up to infinite trees, as well as data-words and tropical automata. Our goal is to show how this notion of unambiguity is so far not well understood, and how embarrassing open questions remain open.

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تاریخ انتشار 2015