#4152 ⟨a, b | abb=aaa, bab=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. a5 ⇒ a [6]
2. ab ⇒ ba3 [4]
3. b2a ⇒ a3 [7]
# ab:abb=aaa,bab=a a/b
aaaaa=a
ab=baaa
bba=aaa

Isomorphic instances

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

5 total

Σ#PresentationMapping
106501⟨a, b | aba=b, aabbb=b⟩φ(a) = b, φ(b) = a
106509⟨a, b | aba=b, abbab=b⟩φ(a) = b, φ(b) = a
106517⟨a, b | aba=b, baabb=b⟩φ(a) = b, φ(b) = a
106786⟨a, b | aba=b, abbb=ba⟩φ(a) = b, φ(b) = a
106792⟨a, b | aba=b, babb=ab⟩φ(a) = b, φ(b) = a