中文

The word problem distinguishes counter languages

群论 2007-05-23 v1

摘要

Counter automata are more powerful versions of finite-state automata where addition and subtraction operations are permitted on a set of n integer registers, called counters. We show that the word problem of Zn\Z^n is accepted by a nondeterministic mm-counter automaton if and only if mnm \geq n.

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引用

@article{arxiv.math/0606415,
  title  = {The word problem distinguishes counter languages},
  author = {Sean Cleary and Murray Elder and Gretchen Ostheimer},
  journal= {arXiv preprint arXiv:math/0606415},
  year   = {2007}
}

备注

8 pages