#9148 ⟨a, b | aa=a, abab=bba⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances
  4. Anti-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. a2 ⇒ a [1]
2. b2a ⇒ (ab)2 [2]
3. a(ba)2 ⇒ (ab)2 [3]
# ab:aa=a,abab=bba reversed:a/b
aa=a
bba=abab
ababa=abab

Isomorphic instances

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

2 total

Σ#PresentationMapping
1125158⟨a, b | aa=a, aabab=bba⟩φ(a) = a, φ(b) = b
1125182⟨a, b | aa=a, abaab=bba⟩φ(a) = a, φ(b) = b

Anti-isomorphic instances

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

1 total

Σ#PresentationMapping
1125697⟨a, b | aa=a, baba=aabb⟩φ(a) = a, φ(b) = b