#642 ⟨a, b | ab=aa, bba=a⟩

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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 ⇒ a [2]
3. a4 ⇒ a2 [3]
# ab:ab=aa,bba=a ab
ab=aa
bba=a
aaaa=aa

Isomorphic instances

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

4 total

Σ#PresentationMapping
104196⟨a, b | bab=baa, bba=a⟩φ(a) = a, φ(b) = b
106673⟨a, b | aab=b, aaba=bb⟩φ(a) = b, φ(b) = a
106676⟨a, b | aab=b, aabb=ba⟩φ(a) = b, φ(b) = a
106700⟨a, b | aab=b, baab=ba⟩φ(a) = b, φ(b) = a