#6274 ⟨a, b | aaa=a, bbabb=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. a3 ⇒ a [1]
2. a2c ⇒ c [5]
3. ab ⇒ c [3]
4. cba2 ⇒ cb [9]
5. c2b ⇒ acbca [13]
6. cacb ⇒ cbaca2 [15]
7. b2a ⇒ acba [11]
8. b2c ⇒ acbc [12]
9. cb2 ⇒ cbac [10]
10. (cb)2 ⇒ a2 [6]
# ab:aaa=a,bbabb=a ac/b ab=c morph:2/1
aaa=a
aac=c
ab=c
cbaa=cb
ccb=acbca
cacb=cbacaa
bba=acba
bbc=acbc
cbb=cbac
cbcb=aa