#2158 ⟨a, b | aaabaaa=bbb⟩

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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. a3ba3 ⇒ b3 [1]
2. b4a3 ⇒ a3b4 [2]
3. b3aba3 ⇒ a3bab3 [3]
4. b3a2ba3 ⇒ a3ba2b3 [4]
# ab:aaabaaa=bbb ab
aaabaaa=bbb
bbbbaaa=aaabbbb
bbbabaaa=aaababbb
bbbaabaaa=aaabaabbb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101650⟨a, b | aaabbbaaa=b⟩Infinite cancellative non-commutative monoid