#914 ⟨a, b | aaabbaa=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. caca2 ⇒ a(ac)2 [6]
2. c2a3ca2 ⇒ a2ca3c2 [7]
3. a(aca2)2 ⇒ c [4]
4. ab ⇒ a2ca2 [3]
5. cb ⇒ a(ac)2 [8]
# ab:aaabbaa=ab ac/b abb=c morph:3/0
cacaa=aacac
ccaaacaa=aacaaacc
aacaaacaa=c
ab=aacaa
cb=aacac