#5398 ⟨a, b | aab=ba, bab=aa⟩

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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. a6 ⇒ a3 [3]
2. ba ⇒ a2b [1]
3. a2b2 ⇒ a2 [2]
# ab:aab=ba,bab=aa reversed:a/b
aaaaaa=aaa
ba=aab
aabb=aa

Isomorphic instances

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

1 total

Σ#PresentationMapping
1116221⟨a, b | aab=ba, aabb=aa⟩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
1116446⟨a, b | aba=bb, aaba=ba⟩φ(a) = b, φ(b) = a