#15523 ⟨a, b | aaa=bb, ababa=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. a18 ⇒ a3 [8]
2. aba3 ⇒ ba14 [7]
3. a3b ⇒ ba3 [3]
4. b2 ⇒ a3 [1]
5. a(ba)2 ⇒ a [2]
# ab:aaa=bb,ababa=a a/b
aaaaaaaaaaaaaaaaaa=aaa
abaaa=baaaaaaaaaaaaaa
aaab=baaa
bb=aaa
ababa=a