#3227 ⟨a, b | ababaaaaaab=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 [11]
2. a6 ⇒ c [2]
3. cd ⇒ 1 [33]
4. dc ⇒ 1 [21]
5. da ⇒ ad [30]
6. ba ⇒ adbc [36]
7. bc5 ⇒ c5b [43]
8. bd ⇒ d5bc4 [39]
9. b(cb)2 ⇒ a4 [44]
# ab:ababaaaaaab=1 reversed:ca/d/b aaaaaa=c,babab=d magic:0
ca=ac
aaaaaa=c
cd=1
dc=1
da=ad
ba=adbc
bccccc=cccccb
bd=dddddbcccc
bcbcb=aaaa