#20818 ⟨a, b | ab=aa, bbaaa=ba⟩

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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. b2a ⇒ ba2 [5]
3. ba4 ⇒ ba [4]
4. a6 ⇒ a3 [3]
# ab:ab=aa,bbaaa=ba ab
ab=aa
bba=baa
baaaa=ba
aaaaaa=aaa

Isomorphic instances

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

3 total

Σ#PresentationMapping
1120822⟨a, b | ab=aa, bbaab=ba⟩φ(a) = a, φ(b) = b
1120826⟨a, b | ab=aa, bbaba=ba⟩φ(a) = a, φ(b) = b
1120830⟨a, b | ab=aa, bbabb=ba⟩φ(a) = a, φ(b) = b