#5308 ⟨a, b | abaabab=aaab⟩

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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. a3b ⇒ c [2]
2. aba2bc ⇒ a2c [5]
3. ca(ab)2 ⇒ a2c [8]
4. a4c ⇒ ca2bc [7]
5. (aba)2b ⇒ c [3]
6. ca2ba2c ⇒ a2ca2bc [9]
7. a(ba2)2c ⇒ ca2bc [6]
# ab:abaabab=aaab bc/a aaab=c magic:0
aaab=c
abaabc=aac
caabab=aac
aaaac=caabc
abaabab=c
caabaac=aacaabc
abaabaac=caabc