#16197 ⟨a, b | aab=ab, bbab=aa⟩

Up:Monoids with two generators and two relations
Prev:#16196 ⟨a, b | aab=ab, bbaa=bb⟩
Next:#16198 ⟨a, b | aab=ab, bbab=ab⟩

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. b6ab ⇒ ab
  2. ab2 ⇒ b4ab
  3. a2 ⇒ b2ab
  4. aba ⇒ ab 
# ab:aab=ab,bbab=aa reversed:b/a
bbbbbbab=ab
abb=bbbbab
aa=bbab
aba=ab

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
1116425⟨a, b | aba=ab, bbab=aa⟩φ(a) = a, φ(b) = b