#4833 ⟨a, b | ababbaab=aba⟩

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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. c(cb)2 ⇒ c2 [8]
2. cac ⇒ c2bcab [9]
3. cab2c ⇒ ca [4]
4. ab(cb)2 ⇒ abc [11]
5. ca2 ⇒ c2bc [6]
6. a2b ⇒ c [2]
7. abac ⇒ a(bc)2ab [10]
8. abab2c ⇒ aba [3]
9. aba2 ⇒ a(bc)2 [5]
# ab:ababbaab=aba reversed:bc/a aab=c morph:3/1
ccbcb=cc
cac=ccbcab
cabbc=ca
abcbcb=abc
caa=ccbc
aab=c
abac=abcbcab
ababbc=aba
abaa=abcbc