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DemeterF. Illustration of combine for capacity constraint violation. 19a. 19. : C. (w1+w2+w3+w4,2). : Cons. (w1+w2+w3+w4,1). : E. (w4,0). 1. 20. 2. 18a. 3. 18. 3a. 13a. (w1+w2+w3,1). : Cons. after blue arrow combine is active (like after). 17a. : C. (w2+w3,1). 4. 12a.
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Illustration of combinefor capacity constraint violation 19a 19 :C (w1+w2+w3+w4,2) :Cons (w1+w2+w3+w4,1) :E (w4,0) 1 20 2 18a 3 18 3a 13a (w1+w2+w3,1) :Cons after blue arrow combine is active (like after) 17a :C (w2+w3,1) 4 12a 17 :Cons (w1,0) 5 13 14 12 16a (w2+w3,0) :Cons 15a 6 (0,0) :E (w1,0) :Empty 11a 7a 15 16 11 :E (w3,0) :Cons (w2,0) both containers (C) violate capacity constraints 8 7 10a 9a (w2,0) :E :Empty (0,0) 9 10
The default Builder for PathSpec after blue arrow copy is built (like after) 10 :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 8 3 4
well-formed movie • show how the default builder is modified to combine Boolean objects.
The default Builder for PathSpecwell-formed specialization 1 #t: true #f: false after blue arrow copy is built (like after) 10 :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. #t :J 5 2 :S :S :S :S 7 #f 8 #t #t 3 4 #t
The default Builder for PathSpecwell-formed specialization 2 #t: true #f: false after blue arrow copy is built (like after) 10 :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. #t :J #t 5 2 :S :S :S :S #t 7 #f 8 #t 3 4 #t
The default Builder for PathSpecwell-formed specialization 3 #t: true #f: false after blue arrow copy is built (like after) #t 10 :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 #f 8 #t #t 3 4 #t
The default Builder for PathSpecwell-formed specialization 4 #t: true #f: false after blue arrow copy is built (like after) #t 10 :M 1 9 #f 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 #f 8 #t #t 3 4 #t
The default Builder for PathSpecwell-formed specialization 5 #t: true #f: false after blue arrow copy is built (like after) #t 10 :M 1 9 #f 6 :J #t Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 #f 8 #t #t 3 4 #t
The default Builder for PathSpecwell-formed specialization 6 #t: true #f: false after blue arrow copy is built (like after) #t 10 #f :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 #f 8 #t #t 3 4 #t
The default Builder for PathSpecwell-formed specialization 7 #f #t: true #f: false after blue arrow copy is built (like after) 10 :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 #f 8 #t #t 3 4 #t
The default Builder for PathSpecwell-formed specialization #t: true #f: false after blue arrow copy is built (like after) 10 :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 #f 8 #t #t 3 4 #t
The default Builder for PathSpecNOT_JOIN_MERGE specialization after blue arrow copy is built (like after) 10 :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 8 3 4
The default Builder for PathSpecNOT_JOIN_MERGE specialization after blue arrow copy is built (like after) 10 :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 8 3 4
The default Builder for PathSpecNOT_JOIN_MERGE specialization after blue arrow copy is built (like after) 10 :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 8 3 4
The default Builder for PathSpecNOT_JOIN_MERGE specialization after blue arrow copy is built (like after) 10 :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 8 3 4
The default Builder for PathSpecNOT_JOIN_MERGE specialization after blue arrow copy is built (like after) 10 :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 8 3 4
The default Builder for PathSpecNOT_JOIN_MERGE specialization after blue arrow copy is built (like after) 10 :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 8 3 4
The default Builder for PathSpecNOT_JOIN_MERGE specialization after blue arrow copy is built (like after) 10 :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 8 3 4
The default Builder for PathSpecNOT_JOIN_MERGE specialization after blue arrow copy is built (like after) 10 :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 8 3 4
The default Builder for PathSpecNOT_JOIN_MERGE specialization insert NOT after blue arrow copy is built (like after) :N 10 :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 8 3 4
The default Builder for PathSpecNOT_JOIN_MERGE specialization insert NOT :M after blue arrow copy is built (like after) :N 10 :N :M 1 9 6 :J Count only upon first visit (red) and upon final visit (blue). For leaf nodes, count only in red. :J 5 2 :S :S :S :S 7 8 3 4
Illustration of combinefor capacity constraint violation :C (w1+w2+w3+w4,2) :Cons (w1+w2+w3+w4,1) :E (w4,0) (w1+w2+w3,1) :Cons :C (w2+w3,1) :Cons (w1,0) (w2+w3,0) :Cons (0,0) :E (w1,0) :Empty :E (w3,0) :Cons (w2,0) both containers (C) violate capacity constraints (w2,0) :E :Empty (0,0)
On left side of => the term c(…) only indicates a compound object. Theory t[f,b](d) => d’, where d’=f(d), d is atomic t[f,b](c(d0, … ,dn)) => f(b(c(d0, … ,dn), d’0, … ,d’n)), where d’i = t[f,b](di) Default functions: id[f](d) => d id[b](c(d0, … ,dn), d’0, … ,d’n) => c(d0, … ,dn) b[c](c(d0, … ,dn), d’0, … ,d’n) => c(d’0, … ,d’n)
Theory • f is a polymorphic function that takes a single argument and returns a result. • b is a function object that is responsible for reconstruction of data types.