#4043 ⟨a, b | aaabbbaba=ba⟩

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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. a3bc2 ⇒ c [5]
2. b2a ⇒ c [2]
3. b2c ⇒ ca2bc2 [6]
4. a3bcba ⇒ ba [3]
5. a3(bc)2 ⇒ bc [7]
6. ca2bcba ⇒ bc [4]
7. ca2(bc)2 ⇒ bca2bc2 [8]
# ab:aaabbbaba=ba ac/b bba=c morph:3/1
aaabcc=c
bba=c
bbc=caabcc
aaabcba=ba
aaabcbc=bc
caabcba=bc
caabcbc=bcaabcc