#1992 ⟨a, b | aaa=a, abbb=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. a3 ⇒ a [1]
2. ab3 ⇒ a [2]
# ab:aaa=a,abbb=a ab
aaa=a
abbb=a

Isomorphic instances

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

4 total

Σ#PresentationMapping
1112252⟨a, b | aaab=ab, abbb=a⟩φ(a) = a, φ(b) = b
1118702⟨a, b | aaa=a, aaabbb=a⟩φ(a) = a, φ(b) = b
1119258⟨a, b | aaa=a, aabbb=aa⟩φ(a) = a, φ(b) = b
1119820⟨a, b | aaa=a, abbb=aaa⟩φ(a) = a, φ(b) = b