#4187 ⟨a, b | bab=aaa, bbb=b⟩

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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. a13 ⇒ a5 [8]
2. aba4 ⇒ ba7 [7]
3. a3ba3 ⇒ ba4 [6]
4. a4b ⇒ ba4 [3]
5. b2a3 ⇒ a3 [5]
6. bab ⇒ a3 [1]
7. a3b2 ⇒ a3 [4]
8. b3 ⇒ b [2]
# ab:bab=aaa,bbb=b a/b
aaaaaaaaaaaaa=aaaaa
abaaaa=baaaaaaa
aaabaaa=baaaa
aaaab=baaaa
bbaaa=aaa
bab=aaa
aaabb=aaa
bbb=b