#1682 ⟨a, b | aabaabbaa=b⟩

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  1. Properties
  2. Rewriting system
  3. Other submonoids of anti-isomorphic group

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
#RuleProof
1. a2ba2b3 ⇒ (b2a2)2 [2]
2. (a2b)2bab ⇒ baba2b2a2 [3]
3. (a2b)2ba2 ⇒ b [1]
# ab:aabaabbaa=b ba
aabaabbb=bbaabbaa
aabaabbab=babaabbaa
aabaabbaa=b

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
102755⟨a, b | baabb=aabaa⟩Infinite cancellative non-commutative monoid