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Compressed word problems for inverse monoids
[article]

2011
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arXiv
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pre-print

The compressed word problem for a finitely generated monoid M asks whether two given compressed words over the generators of M represent the same element of M. For string compression, straight-line programs, i.e., context-free grammars that generate a single string, are used in this paper. It is shown that the compressed word problem for a free inverse monoid of finite rank at least two is complete for Pi^p_2 (second universal level of the polynomial time hierarchy). Moreover, it is shown that

arXiv:1106.1000v1
fatcat:kmys7kimafbqlm2morr2g3yfri