#4649 ⟨a, b | aabababa=bba⟩

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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 ⇒ c [2]
2. a2(ba)3 ⇒ c [3]
3. a(ab)3c ⇒ b2c [5]
4. ca(ba)3 ⇒ b2c [8]
5. b4c ⇒ c(ab)3c [7]
6. a(ab)3b2c ⇒ c(ab)3c [6]
7. c(ab)3b2c ⇒ b2c(ab)3c [9]
# ab:aabababa=bba ac/b bba=c magic:0
bba=c
aabababa=c
aabababc=bbc
cabababa=bbc
bbbbc=cabababc
aabababbbc=cabababc
cabababbbc=bbcabababc