#1596 ⟨a, b | aaaabbaaa=b⟩

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Quick links

  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. a4b3 ⇒ bab2a3 [2]
2. a4b2ab ⇒ ba2b2a3 [3]
3. a4b2a2b ⇒ ba3b2a3 [4]
4. a4b2a3 ⇒ b [1]
# ab:aaaabbaaa=b ba
aaaabbb=babbaaa
aaaabbab=baabbaaa
aaaabbaab=baaabbaaa
aaaabbaaa=b

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
101853⟨a, b | aaaabaaa=bb⟩Infinite cancellative non-commutative monoid
114428⟨a, b | aaaabaaa=bab⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
113383⟨a, b | aaaababaaa=b⟩Infinite cancellative non-commutative monoid