#2711 ⟨a, b | abbab=abbaa⟩

Up:Monoids with two generators and one relation
Prev:#2710 ⟨a, b | abbab=ababa⟩
Next:#2712 ⟨a, b | abbba=aaaaa⟩

Quick links

  1. Properties
  2. Rewriting system

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. cba2 ⇒ ab2c [6]
2. cbab ⇒ ab2c [5]
3. ab2a2 ⇒ c [2]
4. ab2ab ⇒ c [3]
5. cb2a2 ⇒ ab2ac [4]
6. cb2ab ⇒ ab2ac [7]
# ab:abbab=abbaa abc abbaa=c magic:0
cbaa=abbc
cbab=abbc
abbaa=c
abbab=c
cbbaa=abbac
cbbab=abbac