#807 ⟨a, b | aababbaa=b⟩

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  1. Properties
  2. Rewriting system
  3. Other submonoids of same group
  4. Other submonoids of anti-isomorphic 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. (b2a)2a ⇒ a2bab3 [2]
2. a2bab2a2 ⇒ b [1]
3. (ba)2b2a2 ⇒ a2(bab)2 [3]
# ab:aababbaa=b ab
bbabbaa=aababbb
aababbaa=b
bababbaa=aababbab

Other submonoids of same group

3 unique, 3 total

Σ#PresentationDescriptionRelated
91205⟨a, b | aabaa=babb⟩Infinite cancellative non-commutative monoid
113564⟨a, b | aabaababaa=b⟩Infinite cancellative non-commutative monoid
115904⟨a, b | ababba=bbabb⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101702⟨a, b | aababbaba=b⟩Infinite cancellative non-commutative monoid