#4278 ⟨a, b | abaabbaba=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. (b2a)2ba ⇒ aba2b4 [2]
2. aba2b(ba)2 ⇒ b2 [1]
3. b3a2b(ba)2 ⇒ aba2b2ab3 [3]
# ab:abaabbaba=bb ab - -
bbabbaba=abaabbbb
abaabbaba=bb
bbbaabbaba=abaabbabbb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationProperties
101732⟨a, b | aabbbaaba=b⟩Can Inf