#5013 ⟨a, b | aaabaaa=aaba⟩

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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. aca2 ⇒ c [4]
2. c2a2 ⇒ (ac)2 [5]
3. cba ⇒ ac2 [8]
4. cbc ⇒ (ac)3 [9]
5. a2ba ⇒ c [2]
6. a2bc ⇒ (ac)2 [7]
7. caba ⇒ (ac)2 [11]
8. cabc ⇒ c2ac [10]
# ab:aaabaaa=aaba ac/b aaba=c magic:0
acaa=c
ccaa=acac
cba=acc
cbc=acacac
aaba=c
aabc=acac
caba=acac
cabc=ccac