#12285 ⟨a, b | aaab=ba, baab=b⟩

Up:Monoids with two generators and two relations
Prev:#12283 ⟨a, b | aaab=ba, baaa=b⟩
Next:#12288 ⟨a, b | aaab=ba, 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. a6b ⇒ b
  2. ba ⇒ a3b
  3. b2 ⇒ b 
# ab:aaab=ba,baab=b reversed:a/b
aaaaaab=b
ba=aaab
bb=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
1112287⟨a, b | aaab=ba, baba=b⟩φ(a) = a, φ(b) = b
1112291⟨a, b | aaab=ba, bbaa=b⟩φ(a) = a, φ(b) = b