#471 ⟨a, b | abaaba=bb⟩

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Contents

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group

Properties

Rewriting system

Format:
Word:
Enter a word above to compute its normal form. Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1 
1
#RuleProof
1. b(ba)2 ⇒ abab2 [2]
2. (aba)2 ⇒ b2 [1]
3. b3a2ba ⇒ aba2b3 [3]
# ab:abaaba=bb ab - -
bbaba=ababb
abaaba=bb
bbbaaba=abaabbb

Other submonoids of same group

3 unique, 5 total

Σ#PresentationPropertiesφ
8315⟨a, b | aabbabba=1⟩Grp Inf2
101810⟨a, b | abbababba=b⟩Can Inf
102303⟨a, b | abaaaba=bab⟩Can Inf