#16462 ⟨a, b | aba=bb, abbb=bb⟩

Up:Monoids with two generators and two relations
Prev:#16459 ⟨a, b | aba=bb, abbb=aa⟩
Next:#16465 ⟨a, b | aba=bb, baab=bb⟩

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. b5 ⇒ b2 [4]
2. ab2 ⇒ b4 [6]
3. b2a ⇒ b4 [7]
4. aba ⇒ b2 [1]
# ab:aba=bb,abbb=bb b/a
bbbbb=bb
abb=bbbb
bba=bbbb
aba=bb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1116469⟨a, b | aba=bb, babb=bb⟩φ(a) = a, φ(b) = b