#5259 ⟨a, b | aba=ab, baaa=b⟩

Up:Monoids with two generators and two relations
Prev:#5242 ⟨a, b | aba=ab, aaaa=a⟩
Next:#5266 ⟨a, b | aba=ab, bbaa=a⟩

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. aba ⇒ ab
  2. b2a ⇒ b2
  3. ba3 ⇒ b 
# ab:aba=ab,baaa=b ab
aba=ab
bba=bb
baaa=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
1112493⟨a, b | abaa=ab, baaa=b⟩φ(a) = a, φ(b) = b