#19001 ⟨a, b | aab=b, ababaa=b⟩

Up:Monoids with two generators and two relations
Prev:#18993 ⟨a, b | aab=b, abaaaa=b⟩
Next:#19005 ⟨a, b | aab=b, ababba=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. b2 ⇒ b [9]
2. a2b ⇒ b [1]
3. ba2 ⇒ b [12]
4. bab ⇒ ab [10]
# ab:aab=b,ababaa=b ab
bb=b
aab=b
baa=b
bab=ab

Isomorphic instances

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

1 total

Σ#PresentationMapping
1119585⟨a, b | aab=b, babaa=ab⟩φ(a) = a, φ(b) = b