#3106 ⟨a, b | ab=a, baaa=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. ab ⇒ a [1]
2. a4 ⇒ a2 [3]
3. ba3 ⇒ ba [2]
# ab:ab=a,baaa=ba ab
ab=a
aaaa=aa
baaa=ba

Isomorphic instances

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

14 total

Σ#PresentationMapping
109054⟨a, b | ab=a, baaab=ba⟩φ(a) = a, φ(b) = b
109058⟨a, b | ab=a, baaba=ba⟩φ(a) = a, φ(b) = b
109066⟨a, b | ab=a, babaa=ba⟩φ(a) = a, φ(b) = b
109325⟨a, b | ab=a, baaa=bab⟩φ(a) = a, φ(b) = b
1125002⟨a, b | ab=a, baaabb=ba⟩φ(a) = a, φ(b) = b
1125010⟨a, b | ab=a, baabab=ba⟩φ(a) = a, φ(b) = b
1125014⟨a, b | ab=a, baabba=ba⟩φ(a) = a, φ(b) = b
1125026⟨a, b | ab=a, babaab=ba⟩φ(a) = a, φ(b) = b
1125030⟨a, b | ab=a, bababa=ba⟩φ(a) = a, φ(b) = b
1125038⟨a, b | ab=a, babbaa=ba⟩φ(a) = a, φ(b) = b
1125545⟨a, b | ab=a, baaab=bab⟩φ(a) = a, φ(b) = b
1125553⟨a, b | ab=a, baaba=bab⟩φ(a) = a, φ(b) = b
1125569⟨a, b | ab=a, babaa=bab⟩φ(a) = a, φ(b) = b
1125855⟨a, b | ab=a, babb=baaa⟩φ(a) = a, φ(b) = b