#16450 ⟨a, b | aba=bb, aabb=ba⟩

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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. b9 ⇒ b3 [9]
2. b8a ⇒ b2a [8]
3. b7ab ⇒ bab [7]
4. ab3 ⇒ b3a [3]
5. ba2 ⇒ b5ab [6]
6. aba ⇒ b2 [1]
7. ab2a ⇒ b2ab2 [4]
8. a2b2 ⇒ ba [2]
# ab:aba=bb,aabb=ba reversed:b/a
bbbbbbbbb=bbb
bbbbbbbba=bba
bbbbbbbab=bab
abbb=bbba
baa=bbbbbab
aba=bb
abba=bbabb
aabb=ba