#1983 ⟨a, b | aaa=a, aaab=b⟩

Up:Monoids with two generators and two relations
Prev:#1963 ⟨a, b | aba=b, aaabb=1⟩
Next:#1984 ⟨a, b | aaa=a, aaba=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. ab ⇒ b [2]
2. a3 ⇒ a [1]
# ab:aaa=a,aaab=b ab
ab=b
aaa=a

Isomorphic instances

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

1 total

Σ#PresentationMapping
1118691⟨a, b | aaa=a, aaaaab=b⟩φ(a) = a, φ(b) = b