#5343 ⟨a, b | ababaab=abaa⟩

Up:Monoids with two generators and one relation
Prev:#5342 ⟨a, b | ababaab=aabb⟩
Next:#5344 ⟨a, b | ababaab=abab⟩

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. c2b ⇒ ca2 [8]
2. aba2 ⇒ c [2]
3. abcb ⇒ c [4]
4. cba2 ⇒ abac [5]
5. (cb)2 ⇒ abac [6]
6. ca4 ⇒ cabac [10]
7. ca2cb ⇒ cabac [11]
8. a(ba)2c ⇒ ca2 [7]
9. c(ba)2c ⇒ abaca2 [9]
10. ca3bac ⇒ cabaca2 [12]
# ab:ababaab=abaa bac abaa=c magic:0
ccb=caa
abaa=c
abcb=c
cbaa=abac
cbcb=abac
caaaa=cabac
caacb=cabac
ababac=caa
cbabac=abacaa
caaabac=cabacaa