#20816 ⟨a, b | ab=aa, 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 ⇒ a2 [1]
2. b2a2 ⇒ a4 [5]
3. a5 ⇒ a2 [4]
# ab:ab=aa,bbaaa=aa ab
ab=aa
bbaa=aaaa
aaaaa=aa

Isomorphic instances

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

7 total

Σ#PresentationMapping
1120817⟨a, b | ab=aa, bbaaa=ab⟩φ(a) = a, φ(b) = b
1120820⟨a, b | ab=aa, bbaab=aa⟩φ(a) = a, φ(b) = b
1120821⟨a, b | ab=aa, bbaab=ab⟩φ(a) = a, φ(b) = b
1120824⟨a, b | ab=aa, bbaba=aa⟩φ(a) = a, φ(b) = b
1120825⟨a, b | ab=aa, bbaba=ab⟩φ(a) = a, φ(b) = b
1120828⟨a, b | ab=aa, bbabb=aa⟩φ(a) = a, φ(b) = b
1120829⟨a, b | ab=aa, bbabb=ab⟩φ(a) = a, φ(b) = b