#2593 ⟨a, b | ababab=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. cab ⇒ abc [5]
2. ca2 ⇒ (ab)2c [6]
3. cba2 ⇒ abac [4]
4. cb(ab)2 ⇒ abac [7]
5. aba2 ⇒ c [2]
6. (ab)3 ⇒ c [3]
# ab:ababab=abaa bc/a abaa=c magic:0
cab=abc
caa=ababc
cbaa=abac
cbabab=abac
abaa=c
ababab=c