#20988 ⟨a, b | ab=aa, baaa=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 ⇒ a2 [1]
2. ba3 ⇒ ba2 [2]
3. a5 ⇒ a4 [3]
# ab:ab=aa,baaa=baa ab
ab=aa
baaa=baa
aaaaa=aaaa

Isomorphic instances

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

7 total

Σ#PresentationMapping
1120989⟨a, b | ab=aa, baaa=bab⟩φ(a) = a, φ(b) = b
1120996⟨a, b | ab=aa, baab=baa⟩φ(a) = a, φ(b) = b
1120997⟨a, b | ab=aa, baab=bab⟩φ(a) = a, φ(b) = b
1121004⟨a, b | ab=aa, baba=baa⟩φ(a) = a, φ(b) = b
1121005⟨a, b | ab=aa, baba=bab⟩φ(a) = a, φ(b) = b
1121012⟨a, b | ab=aa, babb=baa⟩φ(a) = a, φ(b) = b
1121013⟨a, b | ab=aa, babb=bab⟩φ(a) = a, φ(b) = b