#5168 ⟨a, b | aababaa=aabb⟩

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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. a2b2 ⇒ c [2]
2. a(ab)2a2 ⇒ c [3]
3. cb2 ⇒ a(ab)2c [6]
4. cbaba2 ⇒ a(ab)2c [4]
5. cab2 ⇒ a2(ba)2c [7]
6. c(ab)2a2 ⇒ a2(ba)2c [5]
# ab:aababaa=aabb a/bc aabb=c magic:0
aabb=c
aababaa=c
cbb=aababc
cbabaa=aababc
cabb=aababac
cababaa=aababac