#1796 ⟨a, b | ababbbaba=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. b4aba ⇒ abab4 [2]
2. abab3aba ⇒ b [1]
3. (b2ab)2a ⇒ a(bab2)2 [3]
# ab:ababbbaba=b ab
bbbbaba=ababbbb
ababbbaba=b
bbabbbaba=ababbbabb

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
8456⟨a, b | aabbaa=bb⟩Infinite cancellative non-commutative monoid
102235⟨a, b | aababaa=bab⟩Infinite cancellative non-commutative monoid