#9096 ⟨a, b | ab=a, bbbaa=aa⟩

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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. b3a2 ⇒ a2 [2]
# ab:ab=a,bbbaa=aa ab
ab=a
bbbaa=aa

Isomorphic instances

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

4 total

Σ#PresentationMapping
1125088⟨a, b | ab=a, bbbaab=aa⟩φ(a) = a, φ(b) = b
1125092⟨a, b | ab=a, bbbaba=aa⟩φ(a) = a, φ(b) = b
1125629⟨a, b | ab=a, bbbaa=aab⟩φ(a) = a, φ(b) = b
1125630⟨a, b | ab=a, bbbaa=aba⟩φ(a) = a, φ(b) = b