#20189 ⟨a, b | aba=a, aaab=bbb⟩

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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. a8 ⇒ a3 [8]
2. ba3 ⇒ a7 [7]
3. aba ⇒ a [1]
4. a3b2 ⇒ a7b [9]
5. b3 ⇒ a3b [2]
# ab:aba=a,aaab=bbb a/b
aaaaaaaa=aaa
baaa=aaaaaaa
aba=a
aaabb=aaaaaaab
bbb=aaab