#3153 ⟨a, b | aa=a, bbb=bab⟩

Up:Monoids with two generators and two relations
Prev:#3152 ⟨a, b | aa=a, bbb=abb⟩
Next:#3178 ⟨a, b | ab=a, baa=aaa⟩

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. a2 ⇒ a
  2. bab ⇒ b3 
# ab:aa=a,bbb=bab ba
aa=a
bab=bbb

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.

2 total

Σ#PresentationMapping
109169⟨a, b | aa=a, baab=bbb⟩φ(a) = a, φ(b) = b
1125225⟨a, b | aa=a, baaab=bbb⟩φ(a) = a, φ(b) = b