#5018 ⟨a, b | aaabaaa=baab⟩

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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. a3ba3 ⇒ ba2b [1]
2. ba2b2a3 ⇒ a3b2a2b [2]
3. ba(ab)2a3 ⇒ a3baba2b [3]
4. (ba2)3a ⇒ a(a2b)3 [4]
# ab:aaabaaa=baab ab - -
aaabaaa=baab
baabbaaa=aaabbaab
baababaaa=aaababaab
baabaabaaa=aaabaabaab

Other submonoids of same group

5 unique, 5 total

Σ#PresentationProperties
9776⟨a, b | aaabbaaa=b⟩Can Inf
9900⟨a, b | aaabaaa=bb⟩Can Inf
101624⟨a, b | aaababaaa=b⟩Can Inf
102157⟨a, b | aaabaaa=bab⟩Can Inf
113442⟨a, b | aaabaabaaa=b⟩Can Inf