#1269 ⟨a, b | abbba=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. cab ⇒ abc [4]
2. cbab ⇒ ab3c [6]
3. cb2a ⇒ abc [7]
4. cb3a ⇒ ab3c [5]
5. (ab)2 ⇒ c [2]
6. ab3a ⇒ c [3]
# ab:abbba=abab bc/a abab=c magic:0
cab=abc
cbab=abbbc
cbba=abc
cbbba=abbbc
abab=c
abbba=c