#4417 ⟨a, b, c | aba=1, acca=c⟩

Up:Monoid enumeration
Prev:#4414 ⟨a, b, c | aba=1, acbc=c⟩
Next:#4420 ⟨a, b, c | aba=1, accb=c⟩

Contents

  1. Properties
  2. Rewriting system

Properties

Rewriting system

Format:
Word:
Enter a word above to compute its normal form. Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1 
1
#RuleProof
1. ac2a ⇒ c [2]
2. c3a ⇒ ac3 [6]
3. bc ⇒ c(ca)2 [8]
4. ba2 ⇒ 1 [4]
5. bac ⇒ c2a [5]
6. ab ⇒ ba [3]
7. cb ⇒ acac2 [10]
# abc:aba=1,acca=c ac/b - -
acca=c
ccca=accc
bc=ccaca
baa=1
bac=cca
ab=ba
cb=acacc