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arxiv: 1304.1637 · v1 · pith:2JNCKFWJnew · submitted 2013-04-05 · 💻 cs.DM · math.CO

The freeness problem over matrix semigroups and bounded languages

classification 💻 cs.DM math.CO
keywords freenessproblemboundedlanguagesmatrixsemigroupscertaindecidable
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We study the freeness problem for matrix semigroups. We show that the freeness problem is decidable for upper-triangular $2\times 2$ matrices with rational entries when the products are restricted to certain bounded languages.

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