#4726 ⟨a, b | aabbbaba=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. ac(ba)2 ⇒ c [4]
3. c2(ba)2 ⇒ cb2 [6]
4. acbabc ⇒ cb2 [5]
5. cb4 ⇒ c2babc [7]
6. cb2c(ba)2 ⇒ c2babc [8]
7. cb2cbabc ⇒ c2babcb2 [9]
# ab:aabbbaba=abb a/cb abb=c magic:0
abb=c
acbaba=c
ccbaba=cbb
acbabc=cbb
cbbbb=ccbabc
cbbcbaba=ccbabc
cbbcbabc=ccbabcbb