#9172 ⟨a, b | aa=a, babb=aba⟩

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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 [1]
2. bab2 ⇒ aba [2]
3. a(ba)2 ⇒ (ba)2 [4]
4. b(ba)2 ⇒ aba [7]
# ab:aa=a,babb=aba ab
aa=a
babb=aba
ababa=baba
bbaba=aba

Isomorphic instances

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

3 total

Σ#PresentationMapping
1125228⟨a, b | aa=a, baabb=aba⟩φ(a) = a, φ(b) = b
1125702⟨a, b | aa=a, babb=aaba⟩φ(a) = a, φ(b) = b
1125704⟨a, b | aa=a, babb=abaa⟩φ(a) = a, φ(b) = b