#19831 ⟨a, b | aaa=a, baab=abb⟩

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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 [5]
3. ac2 ⇒ c2 [9]
4. (ac)2 ⇒ cac [10]
5. aca2b ⇒ ca2b [8]
6. bc ⇒ ca2b [6]
7. bac ⇒ cb [7]
8. ab2 ⇒ c [3]
9. ba2b ⇒ c [4]
# ab:aaa=a,baab=abb reversed:ac/b abb=c morph:3/0
aaa=a
aac=c
acc=cc
acac=cac
acaab=caab
bc=caab
bac=cb
abb=c
baab=c