#9320 ⟨a, b | ab=a, baaa=aaa⟩

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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. ba3 ⇒ a3 [2]
# ab:ab=a,baaa=aaa ab
ab=a
baaa=aaa

Isomorphic instances

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

6 total

Σ#PresentationMapping
1125540⟨a, b | ab=a, baaab=aaa⟩φ(a) = a, φ(b) = b
1125548⟨a, b | ab=a, baaba=aaa⟩φ(a) = a, φ(b) = b
1125564⟨a, b | ab=a, babaa=aaa⟩φ(a) = a, φ(b) = b
1125821⟨a, b | ab=a, baaa=aaab⟩φ(a) = a, φ(b) = b
1125822⟨a, b | ab=a, baaa=aaba⟩φ(a) = a, φ(b) = b
1125824⟨a, b | ab=a, baaa=abaa⟩φ(a) = a, φ(b) = b