#4626 ⟨a, b | aaaa=a, baab=a⟩

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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. cac ⇒ a2 [5]
2. a4 ⇒ a [1]
3. a3c ⇒ c [8]
4. ca3 ⇒ c [11]
5. ba ⇒ a2ca [9]
6. bc ⇒ a2c2 [10]
7. ab ⇒ c [3]
8. cb ⇒ ca2c [12]
# ab:aaaa=a,baab=a ac/b ab=c morph:2/1
cac=aa
aaaa=a
aaac=c
caaa=c
ba=aaca
bc=aacc
ab=c
cb=caac