#4262 ⟨a, b | abaabaaba=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)3 ⇒ b2 [1]
3. b3(a2b)2a ⇒ a(ba2)2b3 [3]
# ab:abaabaaba=bb ab - -
bbaba=ababb
abaabaaba=bb
bbbaabaaba=abaabaabbb

Other submonoids of same group

3 unique, 11 total

Σ#PresentationPropertiesφ
9645⟨a, b | aaabbabba=1⟩Grp Inf8
91116⟨a, b | abaaba=bbb⟩Can Inf
114346⟨a, b | abbababba=bb⟩Can Inf