#570 ⟨a, b | abab=abaa⟩

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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. ca2 ⇒ abc [6]
2. cab ⇒ abc [5]
3. aba2 ⇒ c [2]
4. (ab)2 ⇒ c [3]
5. cba2 ⇒ abac [4]
6. cbab ⇒ abac [7]
# ab:abab=abaa abc abaa=c magic:0
caa=abc
cab=abc
abaa=c
abab=c
cbaa=abac
cbab=abac