#5558 ⟨a, b | aaabaa=bbaab⟩

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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. b2a2b ⇒ a3ba2 [1]
2. a(a2b)3 ⇒ b2a5ba2 [2]
# ab:aaabaa=bbaab a/b
bbaab=aaabaa
aaabaabaab=bbaaaaabaa

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
113450⟨a, b | aaabaabbaa=b⟩Infinite cancellative non-commutative monoid