#20086 ⟨a, b | aab=b, abaa=bba⟩

Up:Monoids with two generators and two relations
Prev:#20085 ⟨a, b | aab=b, abaa=bab⟩
Next:#20087 ⟨a, b | aab=b, abaa=bbb⟩

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. b5 ⇒ b2
  2. bab ⇒ ab3
  3. a2b ⇒ b
  4. ba2 ⇒ ab2a 
# ab:aab=b,abaa=bba b/a
bbbbb=bb
bab=abbb
aab=b
baa=abba

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
1120100⟨a, b | aab=b, abba=baa⟩φ(a) = a, φ(b) = b