#2062 ⟨a, b | ababbaab=ba

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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. bc ⇒ cac2ab [8]
2. abac ⇒ ba [3]
3. b2ac ⇒ cacbacab [9]
4. b2a2c ⇒ cba2b [4]
5. b2a2b ⇒ c [2]
6. b3a ⇒ cac2 [6]
7. b(ba)2 ⇒ cac [5]
8. (b2a)2 ⇒ cacbac [7]
# ab:ababbaab=ba reversed:ac/b bbaab=c morph:5/1
bc=caccab
abac=ba
bbac=cacbacab
bbaac=cbaab
bbaab=c
bbba=cacc
bbaba=cac
bbabba=cacbac