#5744 ⟨a, b | aabbaa=bbbbb⟩

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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. a2b2a2 ⇒ b5 [1]
2. b7a2 ⇒ a2b7 [2]
3. b5ab2a2 ⇒ a2b2ab5 [3]
# ab:aabbaa=bbbbb ab
aabbaa=bbbbb
bbbbbbbaa=aabbbbbbb
bbbbbabbaa=aabbabbbbb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
114216⟨a, b | aabbbbbaa=bb⟩Infinite cancellative non-commutative monoid