#19755 ⟨a, b | aba=b, abbbb=bb⟩

Up:Monoids with two generators and two relations
Prev:#19737 ⟨a, b | aba=b, abaab=bb⟩
Next:#19756 ⟨a, b | aba=b, baaab=aa⟩

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. b6 ⇒ b2 [9]
2. ab2 ⇒ b4 [8]
3. b2a ⇒ b4 [10]
4. aba ⇒ b [1]
# ab:aba=b,abbbb=bb b/a
bbbbbb=bb
abb=bbbb
bba=bbbb
aba=b

Isomorphic instances

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

2 total

Σ#PresentationMapping
1119769⟨a, b | aba=b, babbb=bb⟩φ(a) = a, φ(b) = b
1119772⟨a, b | aba=b, bbabb=bb⟩φ(a) = a, φ(b) = b