#15841 ⟨a, b | aba=ab, aaaaa=a⟩

Up:Monoids with two generators and two relations
Prev:#15840 ⟨a, b | aba=aa, bbbbb=b⟩
Next:#15848 ⟨a, b | aba=ab, aaabb=b⟩

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. ab ⇒ c [3]
2. ca ⇒ c [5]
3. cb ⇒ c2 [6]
4. a5 ⇒ a [2]
5. a4c ⇒ c [7]
# ab:aba=ab,aaaaa=a acb ab=c morph:2/1
ab=c
ca=c
cb=cc
aaaaa=a
aaaac=c