#19523 ⟨a, b | aab=b, aabaa=bb⟩

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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. ba4 ⇒ ba2 [3]
2. a2b ⇒ b [1]
3. b2 ⇒ ba2 [2]
# ab:aab=b,aabaa=bb a/b
baaaa=baa
aab=b
bb=baa

Isomorphic instances

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

3 total

Σ#PresentationMapping
1120076⟨a, b | aab=b, aabb=baa⟩φ(a) = a, φ(b) = b
1120083⟨a, b | aab=b, abaa=abb⟩φ(a) = a, φ(b) = b
1120124⟨a, b | aab=b, baab=baa⟩φ(a) = a, φ(b) = b