#20784 ⟨a, b | ab=aa, baaaa=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 [6]
3. a5 ⇒ a2 [5]
# ab:ab=aa,baaaa=aa ab
ab=aa
baa=aaa
aaaaa=aa

Isomorphic instances

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

15 total

Σ#PresentationMapping
1120785⟨a, b | ab=aa, baaaa=ab⟩φ(a) = a, φ(b) = b
1120788⟨a, b | ab=aa, baaab=aa⟩φ(a) = a, φ(b) = b
1120789⟨a, b | ab=aa, baaab=ab⟩φ(a) = a, φ(b) = b
1120792⟨a, b | ab=aa, baaba=aa⟩φ(a) = a, φ(b) = b
1120793⟨a, b | ab=aa, baaba=ab⟩φ(a) = a, φ(b) = b
1120796⟨a, b | ab=aa, baabb=aa⟩φ(a) = a, φ(b) = b
1120797⟨a, b | ab=aa, baabb=ab⟩φ(a) = a, φ(b) = b
1120800⟨a, b | ab=aa, babaa=aa⟩φ(a) = a, φ(b) = b
1120801⟨a, b | ab=aa, babaa=ab⟩φ(a) = a, φ(b) = b
1120804⟨a, b | ab=aa, babab=aa⟩φ(a) = a, φ(b) = b
1120805⟨a, b | ab=aa, babab=ab⟩φ(a) = a, φ(b) = b
1120808⟨a, b | ab=aa, babba=aa⟩φ(a) = a, φ(b) = b
1120809⟨a, b | ab=aa, babba=ab⟩φ(a) = a, φ(b) = b
1120812⟨a, b | ab=aa, babbb=aa⟩φ(a) = a, φ(b) = b
1120813⟨a, b | ab=aa, babbb=ab⟩φ(a) = a, φ(b) = b