#3120 ⟨a, b | ab=a, bbaa=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. b2a2 ⇒ a2 [2]
# ab:ab=a,bbaa=aa ab
ab=a
bbaa=aa

Isomorphic instances

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

14 total

Σ#PresentationMapping
109084⟨a, b | ab=a, bbaab=aa⟩φ(a) = a, φ(b) = b
109088⟨a, b | ab=a, bbaba=aa⟩φ(a) = a, φ(b) = b
109353⟨a, b | ab=a, bbaa=aab⟩φ(a) = a, φ(b) = b
109354⟨a, b | ab=a, bbaa=aba⟩φ(a) = a, φ(b) = b
1125064⟨a, b | ab=a, bbaabb=aa⟩φ(a) = a, φ(b) = b
1125072⟨a, b | ab=a, bbabab=aa⟩φ(a) = a, φ(b) = b
1125076⟨a, b | ab=a, bbabba=aa⟩φ(a) = a, φ(b) = b
1125605⟨a, b | ab=a, bbaab=aab⟩φ(a) = a, φ(b) = b
1125606⟨a, b | ab=a, bbaab=aba⟩φ(a) = a, φ(b) = b
1125613⟨a, b | ab=a, bbaba=aab⟩φ(a) = a, φ(b) = b
1125614⟨a, b | ab=a, bbaba=aba⟩φ(a) = a, φ(b) = b
1125861⟨a, b | ab=a, bbaa=aabb⟩φ(a) = a, φ(b) = b
1125863⟨a, b | ab=a, bbaa=abab⟩φ(a) = a, φ(b) = b
1125864⟨a, b | ab=a, bbaa=abba⟩φ(a) = a, φ(b) = b