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Rewriting Systems and Embedding of Monoids in Groups

โœ Scribed by Chouraqui, Fabienne


Book ID
111937531
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2009
Tongue
English
Weight
138 KB
Volume
1
Category
Article
ISSN
1867-1144

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๐Ÿ“œ SIMILAR VOLUMES


Rewriting Systems and Embedding of Monoi
โœ Chouraqui, Fabienne ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Walter de Gruyter GmbH & Co. KG ๐ŸŒ English โš– 138 KB

In this paper, a connection between rewriting systems and embedding of monoids in groups is found. We show that if a group with a positive presentation has a complete rewriting system โ„œ that satisfies the condition that each rule in โ„œ with positive left-hand side has a positive right-hand side, then

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A finitely presented monoid has a decidable word problem if and only if it can be presented by some left-recursive convergent string-rewriting system if and only if it has a recursive cross-section. However, regular cross-sections or even context-free cross-sections do not suffice. This is shown by