#9080 ⟨a, b | ab=a, bbaaa=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. a3 ⇒ a2 [4]
3. b2a2 ⇒ a2 [5]
# ab:ab=a,bbaaa=aa ab
ab=a
aaa=aa
bbaa=aa

Isomorphic instances

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

5 total

Σ#PresentationMapping
1125056⟨a, b | ab=a, bbaaab=aa⟩φ(a) = a, φ(b) = b
1125060⟨a, b | ab=a, bbaaba=aa⟩φ(a) = a, φ(b) = b
1125068⟨a, b | ab=a, bbabaa=aa⟩φ(a) = a, φ(b) = b
1125597⟨a, b | ab=a, bbaaa=aab⟩φ(a) = a, φ(b) = b
1125598⟨a, b | ab=a, bbaaa=aba⟩φ(a) = a, φ(b) = b