#19538 ⟨a, b | aab=b, abaaa=ba⟩

Up:Monoids with two generators and two relations
Prev:#19535 ⟨a, b | aab=b, aabbb=bb⟩
Next:#19539 ⟨a, b | aab=b, abaaa=bb⟩

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. ba5 ⇒ ba
  2. aba ⇒ ba3
  3. a2b ⇒ b
  4. ab2 ⇒ b2 
# ab:aab=b,abaaa=ba a/b
baaaaa=ba
aba=baaa
aab=b
abb=bb

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
1120114⟨a, b | aab=b, baaa=aba⟩φ(a) = a, φ(b) = b