#1206 ⟨a, b | aabaa=bbbb⟩

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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. a2ba2 ⇒ b4 [1]
2. b5a2 ⇒ a2b5 [2]
3. b4aba2 ⇒ a2bab4 [3]
# ab:aabaa=bbbb ab - -
aabaa=bbbb
bbbbbaa=aabbbbb
bbbbabaa=aababbbb

Other submonoids of same group

3 unique, 6 total

Σ#PresentationPropertiesφ
9826⟨a, b | aabbbbaa=b⟩Can Inf
112865⟨a, b | aaaababbaba=1⟩Grp Inf3
114844⟨a, b | ababbaba=bbb⟩Can Inf