#16082 ⟨a, b | aab=aa, aaaa=ab⟩

Up:Monoids with two generators and two relations
Prev:#16081 ⟨a, b | aab=aa, aaaa=aa⟩
Next:#16083 ⟨a, b | aab=aa, aaaa=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. a5 ⇒ a2
  2. ab ⇒ a4 
# ab:aab=aa,aaaa=ab a/b
aaaaa=aa
ab=aaaa

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
1116338⟨a, b | aba=aa, aaaa=ab⟩φ(a) = a, φ(b) = b