#19494 ⟨a, b | aab=a, bbbab=ba⟩

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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. a4 ⇒ a [9]
2. ab ⇒ a3 [8]
3. b3a ⇒ ba2 [6]
# ab:aab=a,bbbab=ba a/b
aaaa=a
ab=aaa
bbba=baa

Isomorphic instances

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

1 total

Σ#PresentationMapping
1120036⟨a, b | aab=a, bbba=baa⟩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
1119695⟨a, b | aba=a, babbb=ab⟩φ(a) = a, φ(b) = b