#1734 ⟨a, b, c | aab=ca, bcb=1⟩

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. b2a3 ⇒ aba2b [8]
2. b2a2b ⇒ a [6]
3. ca ⇒ a2b [1]
4. cba ⇒ ba2b [5]
5. cb2 ⇒ 1 [4]
6. ac ⇒ (b2a)2a [10]
7. bc ⇒ cb [3]
# abc:aab=ca,bcb=1 ab/c - -
bbaaa=abaab
bbaab=a
ca=aab
cba=baab
cbb=1
ac=bbabbaa
bc=cb