#9324 ⟨a, b | ab=a, baaa=baa⟩

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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 ⇒ a3 [3]
3. ba3 ⇒ ba2 [2]
# ab:ab=a,baaa=baa ab
ab=a
aaaa=aaa
baaa=baa

Isomorphic instances

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

5 total

Σ#PresentationMapping
1125544⟨a, b | ab=a, baaab=baa⟩φ(a) = a, φ(b) = b
1125552⟨a, b | ab=a, baaba=baa⟩φ(a) = a, φ(b) = b
1125568⟨a, b | ab=a, babaa=baa⟩φ(a) = a, φ(b) = b
1125836⟨a, b | ab=a, baab=baaa⟩φ(a) = a, φ(b) = b
1125845⟨a, b | ab=a, baba=baaa⟩φ(a) = a, φ(b) = b