#25196 ⟨a, b | aa=a, ababb=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. a2 ⇒ a [1]
2. ab2a ⇒ b2a [3]
3. abab2 ⇒ b2a [2]
4. ab3a ⇒ b2a [4]
5. b(ba)2 ⇒ b2a [5]
6. b4a ⇒ b2ab2 [7]
# ab:aa=a,ababb=bba ab
aa=a
abba=bba
ababb=bba
abbba=bba
bbaba=bba
bbbba=bbabb