#3168 ⟨a, b | aabbbbbbbba=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. ca ⇒ ac [5]
2. cb ⇒ bc [13]
3. cd ⇒ 1 [8]
4. da ⇒ ad [9]
5. db ⇒ bd [11]
6. dc ⇒ 1 [10]
7. a3 ⇒ c [2]
8. b8 ⇒ d [3]
# ab:aabbbbbbbba=1 abcd aaa=c,bbbbbbbb=d magic:0
ca=ac
cb=bc
cd=1
da=ad
db=bd
dc=1
aaa=c
bbbbbbbb=d