#5902 ⟨a, b | ababba=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. abac ⇒ cab [6]
2. b2ac ⇒ cab2a [7]
3. b2a2c ⇒ cba2b [4]
4. b2a2b ⇒ c [2]
5. abab2a ⇒ c [3]
6. abab2c ⇒ cbab2a [5]
# ab:ababba=bbaab a/cb bbaab=c magic:0
abac=cab
bbac=cabba
bbaac=cbaab
bbaab=c
ababba=c
ababbc=cbabba

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
115200⟨a, b | aababba=baab⟩Infinite cancellative non-commutative monoid