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N. Shimizu (chikoski@gmail.com / @chikoski)




4.5                                                                   


N. Shimizu (chikoski@gmail.com / @chikoski)
N. Shimizu (chikoski@gmail.com / @chikoski)




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N. Shimizu (chikoski@gmail.com / @chikoski)




4.5.1
N. Shimizu (chikoski@gmail.com / @chikoski)




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N. Shimizu (chikoski@gmail.com / @chikoski)




•                                              #
•                            #
      fact                            #
                #
      
N. Shimizu (chikoski@gmail.com / @chikoski)




sig RadioStation { band set: Freq}#
sig Freq {}#
fact NoOverlapping{#
    no disj s, s’ : RadioStation | #
      some s.band & s’band#
}
N. Shimizu (chikoski@gmail.com / @chikoski)




sig Object {}#
sig Directory extends Object { #
    contents: set Object}#
sig File extends Object {}#
fact {#
    no d: Directory | d in d^contents#
    Object in Root.*contents#
    all o: Object | lone o.~contents#
}
N. Shimizu (chikoski@gmail.com / @chikoski)




• 
                                    #
• 
                              #
• sig A {…} { F }                                             #
N. Shimizu (chikoski@gmail.com / @chikoski)




sig Host {}#
sig Link { from, to : Host}#
fact { all x : Link | x.from ! = x.to }



sig Host {}#
sig Link { from, to : Host}{ from != to}#
N. Shimizu (chikoski@gmail.com / @chikoski)




sig Host {}#
sig Link { from, to : Host}#
fact{ all this: Link | #
     some x: Link | x.from = this.to and x.to = this.from#
}#



sig Host {}#
sig Link { from, to : Host}{#
 some x:Link | x.@from = to and x.@to = from#
}#
N. Shimizu (chikoski@gmail.com / @chikoski)




sig Book {#
     homeAddress, workAddress : Name -> Addr#
     address: homeAddress + workAddress#
}#
sig Name, Addr {}#



sig Book{#
     homeAddress, worksAddress, address : Name -> Addr#
}{ address in homeAddress + workAddress}#
sig Name, Addr {}#
N. Shimizu (chikoski@gmail.com / @chikoski)




                                              #
N. Shimizu (chikoski@gmail.com / @chikoski)




•         #
•                                                           #
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                        #
     •                                 #
N. Shimizu (chikoski@gmail.com / @chikoski)




4.5.2
N. Shimizu (chikoski@gmail.com / @chikoski)




• 
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• 
         #
• 
     #
• 
N. Shimizu (chikoski@gmail.com / @chikoski)




•        #
•                                                        #
•            #
                                                  #
                         #
N. Shimizu (chikoski@gmail.com / @chikoski)




abstract sig Color {}#
one sig Red, Yellow, Green extends Color {}#
fun colorSequence: Color -> Color{#
    Color <: iden + Red -> Green + #
     Green -> Yellow + Yellow -> Red#
}
N. Shimizu (chikoski@gmail.com / @chikoski)




•            #
•                                          #
                                          #
      
N. Shimizu (chikoski@gmail.com / @chikoski)




sig Light {}#
sig LightState {color : Light -> one Color}#
sig Junction { lights: Light}#
#
fun redLites (s: LightState) : set Light{#
  s.color.Red#
}#
pred mostlyRed (s: LightState, j: Junction){#
  lone j.lights - redLights [s]#
}
N. Shimizu (chikoski@gmail.com / @chikoski)




•                                                                        #
• pred X.f (y: Y, z: Z, …)#
      pred f(x:X, y:Y, z:Z, …)                   #
      X          this                #
•                 x.f [y, z, …]#
N. Shimizu (chikoski@gmail.com / @chikoski)




•                        #
• 
     #
• 
N. Shimizu (chikoski@gmail.com / @chikoski)




• h [ g [ f x, arg1], arg2], arg3]                                        #
• x.f[arg1].g[arg2].h[arg3]                           #
N. Shimizu (chikoski@gmail.com / @chikoski)




     .              .




• 
N. Shimizu (chikoski@gmail.com / @chikoski)




•    

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•                  

                                                       #
N. Shimizu (chikoski@gmail.com / @chikoski)




•    #
• 
         #


•                                        …
N. Shimizu (chikoski@gmail.com / @chikoski)




4.5.3
N. Shimizu (chikoski@gmail.com / @chikoski)




•                         #
• conjecture#
                                                              #
                                       #
    
N. Shimizu (chikoski@gmail.com / @chikoski)




•                    #
• 
N. Shimizu (chikoski@gmail.com / @chikoski)




•        #
•                            #
                     …#
      
N. Shimizu (chikoski@gmail.com / @chikoski)




•    #
• 
N. Shimizu (chikoski@gmail.com / @chikoski)
N. Shimizu (chikoski@gmail.com / @chikoski)




•              #
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Alloy20110922 00