#15760 ⟨a, b | aab=bb, ababb=b⟩

Up:Monoids with two generators and two relations
Prev:#15757 ⟨a, b | aab=bb, ababa=a⟩
Next:#15768 ⟨a, b | aab=bb, abbbb=b⟩

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 ⇒ b2
  2. bab ⇒ ab2
  3. b4 ⇒ b 
# ab:aab=bb,ababb=b ab
aab=bb
bab=abb
bbbb=b

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
1115764⟨a, b | aab=bb, abbab=b⟩φ(a) = a, φ(b) = b