#3191 ⟨a, b | ab=a, bba=baa⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
#RuleProof
1. ab ⇒ a [1]
2. a3 ⇒ a2 [3]
3. b2a ⇒ ba2 [2]
# ab:ab=a,bba=baa ab
ab=a
aaa=aa
bba=baa

Isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

9 total

Σ#PresentationMapping
109334⟨a, b | ab=a, baab=bba⟩φ(a) = a, φ(b) = b
109342⟨a, b | ab=a, baba=bba⟩φ(a) = a, φ(b) = b
109364⟨a, b | ab=a, bbab=baa⟩φ(a) = a, φ(b) = b
1125562⟨a, b | ab=a, baabb=bba⟩φ(a) = a, φ(b) = b
1125578⟨a, b | ab=a, babab=bba⟩φ(a) = a, φ(b) = b
1125586⟨a, b | ab=a, babba=bba⟩φ(a) = a, φ(b) = b
1125624⟨a, b | ab=a, bbabb=baa⟩φ(a) = a, φ(b) = b
1125879⟨a, b | ab=a, bbab=baab⟩φ(a) = a, φ(b) = b
1125880⟨a, b | ab=a, bbab=baba⟩φ(a) = a, φ(b) = b