#19826 ⟨a, b | aaa=a, abbb=bba

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. ab21 ⇒ ab6 [7]
2. b2a ⇒ ab3 [2]
3. abab6 ⇒ a2b15 [8]
4. a3 ⇒ a [1]
5. aba2b6 ⇒ ab12 [10]
6. (ab)3b2 ⇒ ab3 [3]
# ab:aaa=a,abbb=bba b/a
abbbbbbbbbbbbbbbbbbbbb=abbbbbb
bba=abbb
ababbbbbb=aabbbbbbbbbbbbbbb
aaa=a
abaabbbbbb=abbbbbbbbbbbb
abababbb=abbb