#6556 ⟨a, b | aaa=a, babb=ab⟩

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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. a3 ⇒ a [1]
2. a2c ⇒ c [6]
3. c3 ⇒ c [9]
4. c2ac ⇒ ac [13]
5. bc ⇒ ac2 [11]
6. bac ⇒ (ac)2 [16]
7. ab ⇒ c [3]
8. cb ⇒ cac [15]
# ab:aaa=a,babb=ab ac/b ab=c morph:2/0
aaa=a
aac=c
ccc=c
ccac=ac
bc=acc
bac=acac
ab=c
cb=cac