#12442 ⟨a, b | aabb=aa, baba=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. a2 ⇒ a [7]
2. aba ⇒ ba [8]
3. ab2 ⇒ a [5]
4. b2a ⇒ a [9]
# ab:aabb=aa,baba=a ab
aa=a
aba=ba
abb=a
bba=a

Isomorphic instances

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

2 total

Σ#PresentationMapping
1114701⟨a, b | aabb=a, baaba=a⟩φ(a) = a, φ(b) = b
1114705⟨a, b | aabb=a, babaa=a⟩φ(a) = a, φ(b) = b