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‘Cancellativity is undecidable for automatic semigroups’
Quarterly Journal of Mathematics 57 (2006), no. 3, pp. 285–295.
doi: 10.1093/qmath/hai023. MR2253587. $ZBL1126.20039
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Abstract

Via an encoding of the Modified Post’s Correspondence Problem, this paper shows that it is undecidable whether an automatic semigroup is cancellative.

[ See also: ‘A note on “Cancellativity is undecidable for automatic semigroups”’ ]