#12951 ⟨a, b | aba=aab, baab=b⟩

Up:Monoids with two generators and two relations
Prev:#12949 ⟨a, b | aba=aab, baaa=b⟩
Next:#12954 ⟨a, b | aba=aab, babb=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. bab ⇒ b2a
  2. a2b ⇒ aba
  3. b2a2 ⇒ b 
# ab:aba=aab,baab=b ba
bab=bba
aab=aba
bbaa=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.

2 total

Σ#PresentationMapping
1112953⟨a, b | aba=aab, baba=b⟩φ(a) = a, φ(b) = b
1112957⟨a, b | aba=aab, bbaa=b⟩φ(a) = a, φ(b) = b