#939 ⟨a, b | aababaa=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. a(ab)2a2 ⇒ b2 [1]
2. b3aba2 ⇒ a2bab3 [2]
3. b(ba)3a ⇒ a(ab)3b [3]
# ab:aababaa=bb ab - -
aababaa=bb
bbbabaa=aababbb
bbababaa=aabababb

Other submonoids of same group

2 unique, 3 total

Σ#PresentationPropertiesφ
101433⟨a, b | aababbbaba=1⟩Grp Inf1
114617⟨a, b | aabaabaa=bab⟩Can Inf