#587 ⟨a, b | baab=abba⟩

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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. cab ⇒ abc [7]
2. cba ⇒ bac [6]
3. ab2a ⇒ c [2]
4. ba2b ⇒ c [3]
5. ca2b ⇒ ba2c [5]
6. cb2a ⇒ ab2c [4]
# ab:baab=abba abc abba=c magic:0
cab=abc
cba=bac
abba=c
baab=c
caab=baac
cbba=abbc

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
102745⟨a, b | baaab=ababa⟩Infinite cancellative non-commutative monoid