#16063 ⟨a, b | aaa=bb, abab=bb⟩

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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. a11 ⇒ a5 [7]
2. ba9 ⇒ ba3 [9]
3. aba3 ⇒ ba8 [8]
4. a3b ⇒ ba3 [3]
5. b2 ⇒ a3 [1]
6. (ab)2 ⇒ a3 [2]
# ab:aaa=bb,abab=bb a/b
aaaaaaaaaaa=aaaaa
baaaaaaaaa=baaa
abaaa=baaaaaaaa
aaab=baaa
bb=aaa
abab=aaa