#5378 ⟨a, b | aab=ab, abb=ab⟩

Up:Monoids with two generators and two relations
Prev:#5377 ⟨a, b | aab=ab, abb=aa⟩
Next:#5379 ⟨a, b | aab=ab, abb=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. a2b ⇒ ab
  2. ab2 ⇒ ab 
# ab:aab=ab,abb=ab ab
aab=ab
abb=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.

2 total

Σ#PresentationMapping
1116158⟨a, b | aab=ab, aabb=ab⟩φ(a) = a, φ(b) = b
1116501⟨a, b | aab=ab, abb=aab⟩φ(a) = a, φ(b) = b