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On groups with EDT0L word problem

delete2026-02-01
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PRE
AI
B
Bishop, Alex *
M
Murray Elder
E
Evetts, Alex
P
Paul Gallot
A
Alex J. Levine
DOI:10.1142/S0218196726500165delete
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Abstract

Abstract

En 中文
We prove that the word problem for the infinite cyclic group is not EDT0L, and obtain as a corollary that a finitely generated group with EDT0L word problem must be torsion. In addition, we show that the property of having an EDT0L word problem is invariant under change of generating set, and passing to finitely generated subgroups. This represents significant progress toward the conjecture that all groups with EDT0L word problem are finite (i.e. precisely the groups with regular word problem).
Keywords:
Word problem
EDT0L language
finite-index EDT0L grammar

Journal

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International Journal of Algebra and Computation
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0.5
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