#3450 ⟨a, b | aaabaabbaa=b⟩

Up:Monoid enumeration
Prev:#3449 ⟨a, b | aaabaabbaa=a⟩
Next:#3451 ⟨a, b | aaabaabbab=a⟩

Contents

  1. Properties
  2. Rewriting system
  3. Other submonoids of anti-isomorphic 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. a3ba2b3 ⇒ baba2b2a2 [2]
2. a3ba2b2ab ⇒ (ba2)2b2a2 [3]
3. a3ba2b2a2 ⇒ b [1]
# ab:aaabaabbaa=b ba - -
aaabaabbb=babaabbaa
aaabaabbab=baabaabbaa
aaabaabbaa=b

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
115558⟨a, b | aaabaa=bbaab⟩Can Inf