#1650 ⟨a, b | aaabbbaaa=b⟩

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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. b4a3 ⇒ a3b4 [2]
2. bab3a3 ⇒ a3b3ab [3]
3. a3b3a3 ⇒ b [1]
4. ba2b3a3 ⇒ a3b3a2b [4]
# ab:aaabbbaaa=b ab
bbbbaaa=aaabbbb
babbbaaa=aaabbbab
aaabbbaaa=b
baabbbaaa=aaabbbaab

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
102158⟨a, b | aaabaaa=bbb⟩Infinite cancellative non-commutative monoid