#2155 ⟨a, b | aaabaaa=aba

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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. a3ba3 ⇒ aba [1]
2. (ab)2a3 ⇒ a3(ba)2 [2]
3. aba2ba3 ⇒ a(a2b)2a [3]
# ab:aaabaaa=aba ab
aaabaaa=aba
ababaaa=aaababa
abaabaaa=aaabaaba