#1054 ⟨a, b | aaabba=bab⟩

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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. a3b2a ⇒ bab [1]
2. a3b3ab ⇒ baba2b2a [2]
# ab:aaabba=bab ba
aaabba=bab
aaabbbab=babaabba

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
113733⟨a, b | abaabaabba=b⟩Infinite cancellative non-commutative monoid
115046⟨a, b | aaababa=baab⟩Infinite cancellative non-commutative monoid