#4152 ⟨a, b | abb=aaa, bab=a⟩

Up:Monoids with two generators and two relations
Prev:#4151 ⟨a, b | abb=aaa, baa=b⟩
Next:#4153 ⟨a, b | abb=aaa, bab=b⟩

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. a5 ⇒ a
  2. ab ⇒ ba3
  3. b2a ⇒ a3 
# ab:abb=aaa,bab=a a/b
aaaaa=a
ab=baaa
bba=aaa

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.

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