#3489 ⟨a, b | aaabbaabaa=b⟩

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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(a2b2)2 ⇒ bab(ba2)2 [2]
2. a3b2a(ab)2 ⇒ (ba2b)2a2 [3]
3. a3b(ba2)2 ⇒ b [1]
# ab:aaabbaabaa=b ba - -
aaabbaabb=babbaabaa
aaabbaabab=baabbaabaa
aaabbaabaa=b

Other submonoids of same group

1 unique, 1 total

Σ#PresentationProperties
115552⟨a, b | aaabaa=baabb⟩Can Inf