#4035 ⟨a, b | aaabbbaaa=ab

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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. caca3 ⇒ (a2c)2 [6]
2. c2(a4c)2a3 ⇒ a2c(a4c)2ac [7]
3. a(aca3)3 ⇒ c [4]
4. ab ⇒ a2ca3 [3]
5. cb ⇒ (a2c)2 [8]
# ab:aaabbbaaa=ab ac/b abbb=c morph:4/0
cacaaa=aacaac
ccaaaacaaaacaaa=aacaaaacaaaacac
aacaaaacaaaacaaa=c
ab=aacaaa
cb=aacaac