#9098 ⟨a, b | ab=a, bbbaa=ba⟩

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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. ba2 ⇒ ba [4]
4. b3a ⇒ ba [5]
# ab:ab=a,bbbaa=ba ab
ab=a
aaa=aa
baa=ba
bbba=ba

Isomorphic instances

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

3 total

Σ#PresentationMapping
1125090⟨a, b | ab=a, bbbaab=ba⟩φ(a) = a, φ(b) = b
1125094⟨a, b | ab=a, bbbaba=ba⟩φ(a) = a, φ(b) = b
1125633⟨a, b | ab=a, bbbaa=bab⟩φ(a) = a, φ(b) = b