#596 ⟨a, b | aab=b, bab=a⟩

Up:Monoids with two generators and two relations
Prev:#595 ⟨a, b | aab=b, baa=b⟩
Next:#597 ⟨a, b | aab=b, bab=b⟩

Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances

Properties

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
#RuleProof
1. a3 ⇒ a [3]
2. a2b ⇒ b [1]
3. ba2 ⇒ b [4]
4. bab ⇒ a [2]
# ab:aab=b,bab=a ab
aaa=a
aab=b
baa=b
bab=a

Isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

2 total

Σ#PresentationMapping
106392⟨a, b | aab=b, aabab=a⟩φ(a) = a, φ(b) = b
106416⟨a, b | aab=b, baaab=a⟩φ(a) = a, φ(b) = b