#4247 ⟨a, b | abaaababa=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. b2a2(ba)2 ⇒ aba3b3 [2]
2. aba3(ba)2 ⇒ b2 [1]
3. b3a3(ba)2 ⇒ aba3bab3 [3]
# ab:abaaababa=bb ab - -
bbaababa=abaaabbb
abaaababa=bb
bbbaaababa=abaaababbb

Other submonoids of same group

2 unique, 8 total

Σ#PresentationPropertiesφ
113062⟨a, b | aababaabbba=1⟩Grp Inf6
113748⟨a, b | abaabbabba=b⟩Can Inf