#19519 ⟨a, b | aab=b, aaabb=bb⟩

Up:Monoids with two generators and two relations
Prev:#19514 ⟨a, b | aab=b, aaaba=ba⟩
Next:#19522 ⟨a, b | aab=b, aabaa=ba⟩

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. a2b ⇒ b
  2. ab2 ⇒ b2 
# ab:aab=b,aaabb=bb ab
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.

4 total

Σ#PresentationMapping
1119543⟨a, b | aab=b, abaab=bb⟩φ(a) = a, φ(b) = b
1120075⟨a, b | aab=b, aabb=abb⟩φ(a) = a, φ(b) = b
1120093⟨a, b | aab=b, abab=bab⟩φ(a) = a, φ(b) = ab
1120123⟨a, b | aab=b, baab=abb⟩φ(a) = a, φ(b) = b