#2066 ⟨a, b | aab=b, 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 [5]
2. a2b ⇒ b [1]
3. ba2 ⇒ b [4]
4. b3 ⇒ a2 [3]
# ab:aab=b,abbb=a ab
aaa=a
aab=b
baa=b
bbb=aa

Isomorphic instances

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

3 total

Σ#PresentationMapping
1118974⟨a, b | aab=b, aaabbb=a⟩φ(a) = a, φ(b) = b
1118998⟨a, b | aab=b, abaabb=a⟩φ(a) = a, φ(b) = b
1119010⟨a, b | aab=b, abbaab=a⟩φ(a) = a, φ(b) = b