#4711 ⟨a, b | aaba=a, babb=b⟩

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Properties

Complete 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
  1. aba2 ⇒ a
  2. a2ba ⇒ a
  3. b2a ⇒ ba2
  4. ba2b ⇒ b
  5. ba3b ⇒ b2
  6. ab2 ⇒ a2b
  7. b3 ⇒ ba4b 
# ab:aaba=a,babb=b a/b
abaa=a
aaba=a
bba=baa
baab=b
baaab=bb
abb=aab
bbb=baaaab

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

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

1 total

Σ#PresentationMapping
104748⟨a, b | abba=a, baab=b⟩φ(a) = a, φ(b) = b