#2070 ⟨a, b | ababbbba=bb⟩

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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. abab4a ⇒ b2 [1]
2. abab6 ⇒ b3ab4a [2]
# ab:ababbbba=bb ba
ababbbba=bb
ababbbbbb=bbbabbbba

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
91102⟨a, b | aabbba=bbb⟩Infinite cancellative non-commutative monoid
113822⟨a, b | abbabbbbba=b⟩Infinite cancellative non-commutative monoid