#4177 ⟨a, b | aabbababa=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. a2cbac ⇒ c [5]
2. b2a ⇒ c [2]
3. b2c ⇒ cacbac [6]
4. a2c(ba)2 ⇒ ba [3]
5. a2cbabc ⇒ bc [7]
6. cac(ba)2 ⇒ bc [4]
7. cacbabc ⇒ bcacbac [8]
# ab:aabbababa=ba ac/b bba=c morph:3/1
aacbac=c
bba=c
bbc=cacbac
aacbaba=ba
aacbabc=bc
cacbaba=bc
cacbabc=bcacbac