#963 ⟨a, b | aa=a, abb=ab⟩

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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. ab2 ⇒ ab [2]
# ab:aa=a,abb=ab ab
aa=a
abb=ab

Isomorphic instances

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

9 total

Σ#PresentationMapping
93012⟨a, b | aa=a, aabb=ab⟩φ(a) = a, φ(b) = b
93140⟨a, b | aa=a, abb=aab⟩φ(a) = a, φ(b) = b
108852⟨a, b | aa=a, aaabb=ab⟩φ(a) = a, φ(b) = b
109121⟨a, b | aa=a, aaab=abb⟩φ(a) = a, φ(b) = b
109135⟨a, b | aa=a, aabb=aab⟩φ(a) = a, φ(b) = b
1124600⟨a, b | aa=a, aaaabb=ab⟩φ(a) = a, φ(b) = b
1125125⟨a, b | aa=a, aaaab=abb⟩φ(a) = a, φ(b) = b
1125139⟨a, b | aa=a, aaabb=aab⟩φ(a) = a, φ(b) = b
1125664⟨a, b | aa=a, aabb=aaab⟩φ(a) = a, φ(b) = b