#2775 ⟨a, b | bbabb=aabaa⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same 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. b2ab2 ⇒ a2ba2 [1]
2. b2a3ba2 ⇒ a2ba3b2 [2]
3. b2a(ba2)2 ⇒ (a2b)2ab2 [3]
# ab:bbabb=aabaa ab
bbabb=aabaa
bbaaabaa=aabaaabb
bbabaabaa=aabaababb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
113608⟨a, b | aababbabaa=b⟩Infinite cancellative non-commutative monoid