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Fig. 14.7 Sample Output from Handle jazz
etc.); these are used for comparisons during theorem-proving, replacing the ordinary
arithmetic operators which SNARK cannot reason over.
The following are some key examples of premises in FOL used to define the music
states [ 27 ], some of which are visible as SNARK axioms in Fig. 14.8 .
1. A person has a solo iff they have the highest level and there are no other players
within one level.
p 1 :
Person Solo
(
p 1 ) ↔∃
l 1 :
Level MaxLevel
(
p 1 ,
l 1 )
Level
p 2
:
Person
(
p 2 ,
l 2 )
WithinOne
(
l 1 ,
l 2 )
¬
l 2 :
Level
(
p 1 =
p 2 )
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