#16296 ⟨a, b | aab=bb, abab=bb

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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. b4 ⇒ b3 [5]
2. b3ab ⇒ b2ab [6]
3. ab2 ⇒ b2ab [3]
4. a2b ⇒ b2 [1]
5. (ab)2 ⇒ b2 [2]
# ab:aab=bb,abab=bb reversed:b/a
bbbb=bbb
bbbab=bbab
abb=bbab
aab=bb
abab=bb