#12374 ⟨a, b | aaba=ab, bbba=a⟩

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  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. aba ⇒ a2b [7]
2. a4 ⇒ a2 [6]
3. a3b ⇒ ab [8]
4. ab2a ⇒ a2b2 [4]
5. ab3 ⇒ a3 [5]
6. b3a ⇒ a [2]
# ab:aaba=ab,bbba=a ab
aba=aab
aaaa=aa
aaab=ab
abba=aabb
abbb=aaa
bbba=a