#3898 ⟨a, b | aaaabaaaa=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. b3a4 ⇒ a4b3 [2]
2. b2aba4 ⇒ a4bab2 [3]
3. a4ba4 ⇒ b2 [1]
4. b2a2ba4 ⇒ a4ba2b2 [4]
5. b2a3ba4 ⇒ a4ba3b2 [5]
# ab:aaaabaaaa=bb ab - -
bbbaaaa=aaaabbb
bbabaaaa=aaaababb
aaaabaaaa=bb
bbaabaaaa=aaaabaabb
bbaaabaaaa=aaaabaaabb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationProperties
113398⟨a, b | aaaabbaaaa=b⟩Can Inf