#9048 ⟨a, b | ab=a, baaaa=aa⟩

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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. ba2 ⇒ a2 [6]
3. a4 ⇒ a2 [5]
# ab:ab=a,baaaa=aa ab
ab=a
baa=aa
aaaa=aa

Isomorphic instances

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

6 total

Σ#PresentationMapping
1124992⟨a, b | ab=a, baaaab=aa⟩φ(a) = a, φ(b) = b
1124996⟨a, b | ab=a, baaaba=aa⟩φ(a) = a, φ(b) = b
1125004⟨a, b | ab=a, baabaa=aa⟩φ(a) = a, φ(b) = b
1125020⟨a, b | ab=a, babaaa=aa⟩φ(a) = a, φ(b) = b
1125533⟨a, b | ab=a, baaaa=aab⟩φ(a) = a, φ(b) = b
1125534⟨a, b | ab=a, baaaa=aba⟩φ(a) = a, φ(b) = b