#6405 ⟨a, b | aab=b, ababb=b⟩

Up:Monoids with two generators and two relations
Prev:#6403 ⟨a, b | aab=b, ababa=b⟩
Next:#6409 ⟨a, b | aab=b, abbab=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. a2b ⇒ b [1]
2. bab2 ⇒ ab [3]
3. b(ab)2 ⇒ b [4]
# ab:aab=b,ababb=b ab
aab=b
babb=ab
babab=b

Isomorphic instances

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

1 total

Σ#PresentationMapping
106707⟨a, b | aab=b, babb=ab⟩φ(a) = a, φ(b) = b