#5301 ⟨a, b | abaaaba=abab⟩

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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. cb ⇒ aba2c [6]
2. cab ⇒ abc [4]
3. ca2ba ⇒ aba2c [5]
4. ca3ba ⇒ abc [7]
5. (ab)2 ⇒ c [2]
6. aba3ba ⇒ c [3]
# ab:abaaaba=abab ac/b abab=c magic:0
cb=abaac
cab=abc
caaba=abaac
caaaba=abc
abab=c
abaaaba=c