#7020 ⟨a, b | ba=ab, aaabb=a⟩

Up:Monoids with two generators and two relations
Prev:#7017 ⟨a, b | ba=ab, aaaab=b⟩
Next:#7021 ⟨a, b | ba=ab, aaabb=b⟩

Properties

Complete 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
  1. ba ⇒ ab
  2. a3b2 ⇒ a 
# ab:ba=ab,aaabb=a ab
ba=ab
aaabb=a

Staircase diagram

Right Cayley graph (truncated)

Other isomorphic instances

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

5 total

Σ#PresentationMapping
107024⟨a, b | ba=ab, aabab=a⟩φ(a) = a, φ(b) = b
107026⟨a, b | ba=ab, aabba=a⟩φ(a) = a, φ(b) = b
107028⟨a, b | ba=ab, abaab=a⟩φ(a) = a, φ(b) = b
107030⟨a, b | ba=ab, ababa=a⟩φ(a) = a, φ(b) = b
107033⟨a, b | ba=ab, abbba=b⟩φ(a) = b, φ(b) = a