#18942 ⟨a, b | aab=a, bbabbb=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. a6 ⇒ a [11]
2. ab ⇒ a5 [10]
3. b2a ⇒ a4 [9]
# ab:aab=a,bbabbb=a a/b
aaaaaa=a
ab=aaaaa
bba=aaaa

Isomorphic instances

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

3 total

Σ#PresentationMapping
1119484⟨a, b | aab=a, bbabb=aa⟩φ(a) = a, φ(b) = b
1119926⟨a, b | aab=a, aaaa=bba⟩φ(a) = a, φ(b) = b
1120024⟨a, b | aab=a, bbab=aaa⟩φ(a) = a, φ(b) = b