#4820 ⟨a, b | abababab=aab⟩

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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. abc ⇒ cab [4]
2. ac2 ⇒ cac [7]
3. a2b ⇒ c [2]
4. acab ⇒ c2 [6]
5. a2c ⇒ c2(ab)2 [9]
6. abac ⇒ c2 [8]
7. (ac)2 ⇒ c3(ab)2 [10]
8. c(ab)3 ⇒ ac [5]
9. (ab)4 ⇒ c [3]
# ab:abababab=aab reversed:bc/a aab=c magic:0
abc=cab
acc=cac
aab=c
acab=cc
aac=ccabab
abac=cc
acac=cccabab
cababab=ac
abababab=c