#2890 ⟨a, b | aa=a, babbb=a⟩

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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. ab12 ⇒ a [10]
2. ba ⇒ ab9 [9]
3. a2 ⇒ a [1]
# ab:aa=a,babbb=a b/a
abbbbbbbbbbbb=a
ba=abbbbbbbbb
aa=a

Isomorphic instances

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

6 total

Σ#PresentationMapping
108626⟨a, b | aa=a, baabbb=a⟩φ(a) = a, φ(b) = b
108902⟨a, b | aa=a, babbb=aa⟩φ(a) = a, φ(b) = b
1115655⟨a, b | aab=ab, babbb=a⟩φ(a) = a, φ(b) = b
1124154⟨a, b | aa=a, baaabbb=a⟩φ(a) = a, φ(b) = b
1124699⟨a, b | aa=a, baabbb=aa⟩φ(a) = a, φ(b) = b
1125240⟨a, b | aa=a, babbb=aaa⟩φ(a) = a, φ(b) = b