#916 ⟨a, b | aaabbaa=bb⟩

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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. a3b4 ⇒ (b2a)2a [2]
2. a3b2a2 ⇒ b2 [1]
3. a2(ab2)2 ⇒ (b2a2)2 [3]
# ab:aaabbaa=bb ba
aaabbbb=bbabbaa
aaabbaa=bb
aaabbabb=bbaabbaa

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
114512⟨a, b | aaababaa=bab⟩Infinite cancellative non-commutative monoid