#7086 ⟨a, b | ab=aa, baaa=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 ⇒ a2 [1]
2. ba2 ⇒ a3 [5]
3. a4 ⇒ a2 [4]
# ab:ab=aa,baaa=aa ab
ab=aa
baa=aaa
aaaa=aa

Isomorphic instances

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

7 total

Σ#PresentationMapping
107087⟨a, b | ab=aa, baaa=ab⟩φ(a) = a, φ(b) = b
107090⟨a, b | ab=aa, baab=aa⟩φ(a) = a, φ(b) = b
107091⟨a, b | ab=aa, baab=ab⟩φ(a) = a, φ(b) = b
107094⟨a, b | ab=aa, baba=aa⟩φ(a) = a, φ(b) = b
107095⟨a, b | ab=aa, baba=ab⟩φ(a) = a, φ(b) = b
107098⟨a, b | ab=aa, babb=aa⟩φ(a) = a, φ(b) = b
107099⟨a, b | ab=aa, babb=ab⟩φ(a) = a, φ(b) = b