#3442 ⟨a, b | aaabaabaaa=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. b2a2ba3 ⇒ a3ba2b2 [2]
2. baba2ba3 ⇒ a(a2b)2ab [3]
3. a(a2b)2a3 ⇒ b [1]
4. (ba2)3a ⇒ a(a2b)3 [4]
# ab:aaabaabaaa=b ab - -
bbaabaaa=aaabaabb
babaabaaa=aaabaabab
aaabaabaaa=b
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
115018⟨a, b | aaabaaa=baab⟩Can Inf