#1272 ⟨a, b | abbba=baab⟩

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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 ⇒ ab2c [6]
2. cb2a ⇒ bac [5]
3. cb3a ⇒ ab3c [7]
4. ab3a ⇒ c [2]
5. ba2b ⇒ c [3]
6. ca2b ⇒ ba2c [4]
# ab:abbba=baab bc/a baab=c magic:0
cab=abbc
cbba=bac
cbbba=abbbc
abbba=c
baab=c
caab=baac

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
115404⟨a, b | abbabba=baab⟩Infinite cancellative non-commutative monoid
115941⟨a, b | abbbba=babab⟩Infinite cancellative non-commutative monoid