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F2730666
meta.lp
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Fri, Mar 13, 11:51 PM
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meta.lp
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#hide.
#show holds(atom(_)).
% extract body elements
body(B) :- rule(_,pos(B)).
body(B) :- body(conjunction(S)), set(S,pos(B)).
body(B) :- body(conjunction(S)), set(S,neg(B)).
% define bodies
holds(conjunction(S)) :- holds(A) : set(S,pos(A)),
not holds(A) : set(S,neg(A)), body(conjunction(S)).
holds(sum(L,WL,U)) :- L #sum [ holds(A) = W : wlist(WL,_,pos(A),W),
not holds(A) = W : wlist(WL,_,neg(A),W) ] U, body(sum(L,WL,U)).
holds(avg(L,WL,U)) :- L #avg [ holds(A) = W : wlist(WL,_,pos(A),W),
not holds(A) = W : wlist(WL,_,neg(A),W) ] U, body(avg(L,WL,U)).
holds(min(L,WL,U)) :- L #min [ holds(A) = W : wlist(WL,_,pos(A),W),
not holds(A) = W : wlist(WL,_,neg(A),W) ] U, body(min(L,WL,U)).
holds(max(L,WL,U)) :- L #max [ holds(A) = W : wlist(WL,_,pos(A),W),
not holds(A) = W : wlist(WL,_,neg(A),W) ] U, body(max(L,WL,U)).
holds(even(L,WL,U)) :- #even [ holds(A) = W : wlist(WL,_,pos(A),W),
not holds(A) = W : wlist(WL,_,neg(A),W) ] , body(even(L,WL,U)).
holds(odd(L,WL,U)) :- #odd [ holds(A) = W : wlist(WL,_,pos(A),W),
not holds(A) = W : wlist(WL,_,neg(A),W) ] , body(odd(L,WL,U)).
% derive heads
head(A) :- rule(pos(A),pos(B)), holds(B).
holds(false) :- head(false).
holds(atom(A)) :- head(atom(A)).
holds(A) : set(S,pos(A)) :- head(disjunction(S)).
L #sum [ holds(A) = W : wlist(WL,_,pos(A),W),
not holds(A) = W : wlist(WL,_,neg(A),W) ] U :- head(sum(L,WL,U)).
L #avg [ holds(A) = W : wlist(WL,_,pos(A),W),
not holds(A) = W : wlist(WL,_,neg(A),W) ] U :- head(avg(L,WL,U)).
L #min [ holds(A) = W : wlist(WL,_,pos(A),W),
not holds(A) = W : wlist(WL,_,neg(A),W) ] U :- head(min(L,WL,U)).
L #max [ holds(A) = W : wlist(WL,_,pos(A),W),
not holds(A) = W : wlist(WL,_,neg(A),W) ] U :- head(max(L,WL,U)).
#even [ holds(A) = W : wlist(WL,_,pos(A),W),
not holds(A) = W : wlist(WL,_,neg(A),W) ] :- head(even(L,WL,U)).
#odd [ holds(A) = W : wlist(WL,_,pos(A),W),
not holds(A) = W : wlist(WL,_,neg(A),W) ] :- head(odd(L,WL,U)).
#minimize [ holds(A) = W @ P : wlist(WL,_,pos(A),W) : minimize(P,WL),
not holds(A) = W @ P : wlist(WL,_,neg(A),W) : minimize(P,WL) ].
:- holds(false).
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