#4106 ⟨a, b | aabaabbba=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. b2a ⇒ a2ba2c [3]
2. b2c ⇒ caba2c [15]
3. (a2b)2c ⇒ (ba2)2c [5]
4. a(aba2c)2 ⇒ c [14]
5. caba2bc ⇒ bcaba2c [17]
6. a2(ba2)3c ⇒ ba [13]
7. ca(ba2)3c ⇒ bc [4]
# ab:aabaabbba=ba ac/b bbbba=c morph:5/2
bba=aabaac
bbc=cabaac
aabaabc=baabaac
aabaacabaac=c
cabaabc=bcabaac
aabaabaabaac=ba
cabaabaabaac=bc