#1085 ⟨a, b | aabbaa=bab⟩

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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. a2b2a2 ⇒ bab [1]
2. bab3a2 ⇒ a2b3ab [2]
3. (ba)2b2a2 ⇒ a2b2(ab)2 [3]
# ab:aabbaa=bab ab
aabbaa=bab
babbbaa=aabbbab
bababbaa=aabbabab

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
113744⟨a, b | abaabbaaba=b⟩Infinite cancellative non-commutative monoid
115172⟨a, b | aababaa=baab⟩Infinite cancellative non-commutative monoid