#4147 ⟨a, b | aba=aab, bba=b⟩

Up:Monoids with two generators and two relations
Prev:#4146 ⟨a, b | aba=aab, bba=a⟩
Next:#4149 ⟨a, b | aba=aab, bbb=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. b2a ⇒ b [2]
2. bab ⇒ b [3]
3. a2b ⇒ aba [1]
# ab:aba=aab,bba=b ba
bba=b
bab=b
aab=aba

Isomorphic instances

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

1 total

Σ#PresentationMapping
106648⟨a, b | aab=a, bbaa=ba⟩φ(a) = b, φ(b) = a