#3282 ⟨a, b | abbaabbabba=1⟩

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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. dc ⇒ 1 [52]
2. cd ⇒ 1 [54]
3. ca ⇒ ac [5]
4. da ⇒ ad [55]
5. c5b ⇒ bc5 [70]
6. db ⇒ c4bd5 [76]
7. a2 ⇒ c [2]
8. ba ⇒ ac2bd2 [75]
9. cb2 ⇒ b2c [53]
10. b6 ⇒ ad3 [64]
# ab:abbaabbabba=1 c/d/ab aa=c,bbabbaabb=d magic:0
dc=1
cd=1
ca=ac
da=ad
cccccb=bccccc
db=ccccbddddd
aa=c
ba=accbdd
cbb=bbc
bbbbbb=addd