#9372 ⟨a, b | ab=a, bbba=baa⟩

Up:Monoids with two generators and two relations
Prev:#9368 ⟨a, b | ab=a, bbba=aaa⟩
Next:#9374 ⟨a, b | ab=a, bbba=bba⟩

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. ab ⇒ a
  2. a3 ⇒ a2
  3. b3a ⇒ ba2 
# ab:ab=a,bbba=baa ab
ab=a
aaa=aa
bbba=baa

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.

3 total

Σ#PresentationMapping
1125640⟨a, b | ab=a, bbbab=baa⟩φ(a) = a, φ(b) = b
1125892⟨a, b | ab=a, bbba=baab⟩φ(a) = a, φ(b) = b
1125893⟨a, b | ab=a, bbba=baba⟩φ(a) = a, φ(b) = b