#4617 ⟨a, b | aabaabaa=bab⟩

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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. bab2a2 ⇒ a2b2ab [2]
2. a2(ba2)2 ⇒ bab [1]
3. (ba)3aba2 ⇒ a2ba(ab)3 [3]
# ab:aabaabaa=bab ab - -
babbaa=aabbab
aabaabaa=bab
bababaabaa=aabaababab

Other submonoids of same group

2 unique, 3 total

Σ#PresentationPropertiesφ
9939⟨a, b | aababaa=bb⟩Can Inf
101433⟨a, b | aababbbaba=1⟩Grp Inf1