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Closure properties in the class of multiple context-free groups

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Publication:2304867
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DOI10.1515/gcc-2019-2004OpenAlexW2971550412MaRDI QIDQ2304867

Robert Kropholler, Davide Spriano

Publication date: 13 March 2020

Published in: Groups, Complexity, Cryptology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02478


zbMATH Keywords

word problemgroup theoryformal languages


Mathematics Subject Classification ID

Formal languages and automata (68Q45) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)


Related Items (2)

Groups whose word problems are accepted by abelian \(G\)-automata ⋮ Unnamed Item



Cites Work

  • Unnamed Item
  • Unnamed Item
  • The accessibility of finitely presented groups
  • On multiple context-free grammars
  • Combinatorial group theory.
  • The word problem of \(\mathbb{Z}^n\) is a multiple context-free language
  • Groups whose word problems are not semilinear
  • MIX is a 2-MCFL and the word problem in \(\mathbb{Z}^2\) is captured by the IO and the OI hierarchies
  • An Automata Characterisation for Multiple Context-Free Languages
  • Context-free languages, groups, the theory of ends, second-order logic, tiling problems, cellular automata, and vector addition systems




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