#20926 ⟨a, b | ab=aa, aaaa=bba⟩

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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. a5 ⇒ a4 [3]
2. ab ⇒ a2 [1]
3. b2a ⇒ a4 [2]
# ab:ab=aa,aaaa=bba a/b
aaaaa=aaaa
ab=aa
bba=aaaa

Isomorphic instances

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

7 total

Σ#PresentationMapping
1120934⟨a, b | ab=aa, aaab=bba⟩φ(a) = a, φ(b) = b
1120942⟨a, b | ab=aa, aaba=bba⟩φ(a) = a, φ(b) = b
1120950⟨a, b | ab=aa, aabb=bba⟩φ(a) = a, φ(b) = b
1120958⟨a, b | ab=aa, abaa=bba⟩φ(a) = a, φ(b) = b
1120966⟨a, b | ab=aa, abab=bba⟩φ(a) = a, φ(b) = b
1120974⟨a, b | ab=aa, abba=bba⟩φ(a) = a, φ(b) = b
1120982⟨a, b | ab=aa, abbb=bba⟩φ(a) = a, φ(b) = b