#2172 ⟨a, b | aaababa=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. a3(ba)2 ⇒ bab [1]
2. a3(bab)2 ⇒ b(aba)2ba [2]
# ab:aaababa=bab ba
aaababa=bab
aaababbab=babaababa

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
8439⟨a, b | aaabba=bb⟩Infinite cancellative non-commutative monoid
101788⟨a, b | abababbba=b⟩Infinite cancellative non-commutative monoid