#5831 ⟨a, b | abaaab=babba⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. 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. bab2a ⇒ cab [3]
2. cba2 ⇒ abac [4]
3. cab3a ⇒ babcab [6]
4. aba2 ⇒ c [2]
5. cab2a2 ⇒ bab2c [5]
# ab:abaaab=babba reversed:b/ca abaa=c morph:4/0
babba=cab
cbaa=abac
cabbba=babcab
abaa=c
cabbaa=babbc

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
114250⟨a, b | abaaabbab=ba⟩Infinite cancellative non-commutative monoid