arXiv Open Access 2021

Parallel Hyperedge Replacement String Languages

Graham Campbell
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Abstrak

There are many open questions surrounding the characterisation of groups with context-sensitive word problem. Only in 2018 was it shown that all finitely generated virtually Abelian groups have multiple context-free word problems, and it is a long-standing open question as to where to place the word problems of hyperbolic groups in the formal language hierarchy. In this paper, we introduce a new language class called the parallel hyperedge replacement string languages, show that it contains all multiple context-free and ET0L languages, and lay down the foundations for future work that may be able to place the word problems of many hyperbolic groups in this class.

Topik & Kata Kunci

Penulis (1)

G

Graham Campbell

Format Sitasi

Campbell, G. (2021). Parallel Hyperedge Replacement String Languages. https://arxiv.org/abs/2102.03164

Akses Cepat

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Tahun Terbit
2021
Bahasa
en
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arXiv
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Open Access ✓