#598 ⟨a, b | aab=b, bba=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 [3]
2. a2b ⇒ b [1]
3. b2a ⇒ a [2]
4. b3 ⇒ b [4]
# ab:aab=b,bba=a ab
aaa=a
aab=b
bba=a
bbb=b

Isomorphic instances

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

4 total

Σ#PresentationMapping
106394⟨a, b | aab=b, aabba=a⟩φ(a) = a, φ(b) = b
106406⟨a, b | aab=b, abbaa=a⟩φ(a) = a, φ(b) = b
106418⟨a, b | aab=b, baaba=a⟩φ(a) = a, φ(b) = b
106430⟨a, b | aab=b, bbaaa=a⟩φ(a) = a, φ(b) = b