On Dehn Functions of Finitely Presented Bi-Automatic Monoids

نویسنده

  • Friedrich Otto
چکیده

For each automatic monoid the word problem can be solved in quadratic time (Campbell et al 1996), and hence, the Dehn function of a nitely presented automatic monoid is recursive. Here we show that this result on the Dehn function cannot be improved in general by presenting nitely presented bi-automatic monoids the Dehn functions of which realize arbitrary complexity classes that are suuciently rich.

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عنوان ژورنال:
  • Journal of Automata, Languages and Combinatorics

دوره 5  شماره 

صفحات  -

تاریخ انتشار 2000