#13008 ⟨a, b | abb=aab, baaa=a⟩

Up:Monoids with two generators and two relations
Prev:#13004 ⟨a, b | abb=aab, abaa=b⟩
Next:#13009 ⟨a, b | abb=aab, baaa=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. ba ⇒ a2
  2. ab2 ⇒ a2b
  3. a4 ⇒ a 
# ab:abb=aab,baaa=a ab
ba=aa
abb=aab
aaaa=a

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
1113010⟨a, b | abb=aab, baba=a⟩φ(a) = a, φ(b) = b