#5194 ⟨a, b | aababba=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. a2bab2a ⇒ c [3]
3. a2bab2c ⇒ cab2 [5]
4. cabab2a ⇒ cab2 [7]
5. c(ab2)2 ⇒ cabab2c [6]
6. cab(ba)2b2a ⇒ cabab2c [8]
7. cab(ba)2b2c ⇒ cabab2cab2 [9]
# ab:aababba=aabb abc aabb=c magic:0
aabb=c
aababba=c
aababbc=cabb
cababba=cabb
cabbabb=cababbc
cabbababba=cababbc
cabbababbc=cababbcabb