#3024 ⟨a, b | aa=a, abbb=ba⟩

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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. ab9 ⇒ ab3 [3]
2. ba ⇒ ab3 [2]
3. a2 ⇒ a [1]
# ab:aa=a,abbb=ba b/a
abbbbbbbbb=abbb
ba=abbb
aa=a

Isomorphic instances

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

5 total

Σ#PresentationMapping
108868⟨a, b | aa=a, aabbb=ba⟩φ(a) = a, φ(b) = b
109160⟨a, b | aa=a, abbb=baa⟩φ(a) = a, φ(b) = b
1124617⟨a, b | aa=a, aaabbb=ba⟩φ(a) = a, φ(b) = b
1125172⟨a, b | aa=a, aabbb=baa⟩φ(a) = a, φ(b) = b
1125689⟨a, b | aa=a, baaa=abbb⟩φ(a) = a, φ(b) = b