#5865 ⟨a, b | ababab=aabaa⟩

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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. aba ⇒ c [2]
2. cba ⇒ abc [5]
3. abcb ⇒ aca [6]
4. aca2 ⇒ cbc [8]
5. (cb)2 ⇒ c2a [7]
6. c2a2 ⇒ (ac)2 [10]
7. (ac)2b ⇒ abc2a [9]
8. c2acb ⇒ cbc2a [11]
# ab:ababab=aabaa bac aba=c morph:3/0
aba=c
cba=abc
abcb=aca
acaa=cbc
cbcb=cca
ccaa=acac
acacb=abcca
ccacb=cbcca