#4848 ⟨a, b | ababbbba=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. ab2 ⇒ c [2]
2. abcb2a ⇒ c [4]
3. cbcb2a ⇒ cb2 [6]
4. abcb2c ⇒ cb2 [5]
5. cb4 ⇒ cbcb2c [7]
6. cb3cb2a ⇒ cbcb2c [8]
7. cb(b2c)2 ⇒ cb(cb2)2 [9]
# ab:ababbbba=abb reversed:ac/b abb=c magic:0
abb=c
abcbba=c
cbcbba=cbb
abcbbc=cbb
cbbbb=cbcbbc
cbbbcbba=cbcbbc
cbbbcbbc=cbcbbcbb