#5420 ⟨a, b | aba=ab, bab=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. aba ⇒ ab [1]
2. ab2 ⇒ ab [3]
3. ba2 ⇒ ba [4]
4. bab ⇒ ba [2]
# ab:aba=ab,bab=ba ab
aba=ab
abb=ab
baa=ba
bab=ba

Isomorphic instances

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

2 total

Σ#PresentationMapping
1116411⟨a, b | aba=ab, baab=ba⟩φ(a) = a, φ(b) = b
1116415⟨a, b | aba=ab, baba=ba⟩φ(a) = a, φ(b) = b