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formal languages, grammars, automata theory

5 votes

Obscure characterizations of the regular languages

The following restrictions on Turing machines force them to recognize only regular languages: space complexity $o(\log \log n)$ https://doi.org/10.1109/FOCS.1965.11 single-tape with time complexity $ …
Lê Thành Dũng 'Tito' Nguyễn's user avatar
5 votes

Notion of "quotient" or "inverse" for recognizable tree languages?

The Myhill-Nerode theorem characterizes regular/recognizable languages as those that have finitely many "quotients", and it works for trees — more precisely, a tree language is regular iff there are f …
Lê Thành Dũng 'Tito' Nguyễn's user avatar
3 votes

In the context of regular languages, must the alphabet be finite?

As already mentioned the classical theory of regular languages crucially depends on the finiteness of the alphabet. But there have been a lot of recent works on extending this to alphabets that are "s …
Lê Thành Dũng 'Tito' Nguyễn's user avatar