#19021 ⟨a, b | aab=b, abbbba=b⟩

Up:Monoids with two generators and two relations
Prev:#19019 ⟨a, b | aab=b, abbbab=b⟩
Next:#19022 ⟨a, b | aab=b, abbbbb=a⟩

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. b16 ⇒ b [8]
2. ba ⇒ ab4 [10]
3. a2b ⇒ b [1]
# ab:aab=b,abbbba=b b/a
bbbbbbbbbbbbbbbb=b
ba=abbbb
aab=b

Isomorphic instances

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

1 total

Σ#PresentationMapping
1119625⟨a, b | aab=b, bbbba=ab⟩φ(a) = a, φ(b) = b