#4801 ⟨a, b | abaabbab=aba⟩

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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 ⇒ cb2c [6]
2. cb2cba ⇒ c2b2ab [7]
3. (cb2)2ab ⇒ c [4]
4. aba ⇒ cb2ab [3]
5. cba2 ⇒ cb2abc [9]
6. c(b2a)2 ⇒ abcb2ab [5]
7. cb2abcba ⇒ cbacb2ab [10]
8. (cb2ab)2 ⇒ cba [8]
# ab:abaabbab=aba bc/a abaa=c morph:4/1
ca=cbbc
cbbcba=ccbbab
cbbcbbab=c
aba=cbbab
cbaa=cbbabc
cbbabba=abcbbab
cbbabcba=cbacbbab
cbbabcbbab=cba