#16536 ⟨a, b | aba=ab, baa=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. ca ⇒ c [6]
2. bc ⇒ cb [12]
3. a2c ⇒ c [11]
4. aba ⇒ ab [1]
5. ab2 ⇒ ac [5]
6. cba ⇒ cb [7]
7. cb2 ⇒ c2 [9]
8. ba2 ⇒ a2b [2]
9. bac ⇒ cb [13]
10. bab ⇒ c [3]
11. a3b ⇒ ab [10]
# ab:aba=ab,baa=aab acb bab=c morph:3/0
ca=c
bc=cb
aac=c
aba=ab
abb=ac
cba=cb
cbb=cc
baa=aab
bac=cb
bab=c
aaab=ab