#5358 ⟨a, b | abababa=aabb⟩

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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. abc ⇒ cba [4]
2. a2b2 ⇒ c [2]
3. cab3c ⇒ cbcab2 [7]
4. cab3a ⇒ cbc [6]
5. c(ba)3 ⇒ cab2 [5]
6. c(ab2)2 ⇒ cbc(ba)2 [8]
7. a(ba)3 ⇒ c [3]
# ab:abababa=aabb bca aabb=c magic:0
abc=cba
aabb=c
cabbbc=cbcabb
cabbba=cbc
cbababa=cabb
cabbabb=cbcbaba
abababa=c