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#include "../common/meta.lp".
#include "../common/metaD.lp".
cxopt(card). cxopt(incl). cxopt(pref).
criteria(J,W,Q,A) :- output(_criteria(J,W,Q),A).
criteria(J,W,A) :- criteria(J,W,Q,A).
cxopt(J,W,O) :- criteria(J,W,_,_), cxopt(O), optimize(J,W,O).
cxopt(J,W,card) :- criteria(J,W,_,_), #false : optimize(J,W,O).
%%%%%%%%%% verify dominance
equal(J) :- cxopt(J,_,_), equal(J,W,O) : cxopt(J,W,O).
chain(J1,J2) :- cxopt(J1,_,_), cxopt(J2,_,_), J2 < J1,
#false : cxopt(J3,W,O), J2 < J3, J3 < J1.
check(J2) :- cxopt(J2,_,_), #false : chain(J1,J2).
check(J2) :- chain(J1,J2), check(J1), equal(J1).
bot :- #false : cxopt(J,W,O).
bot :- check(J1), worse(J1).
bot :- check(J1), equal(J1), #false : chain(J1,J2).
% require non-existence of dominating answer set
:- not bot.
%%%%%%%%%% check cardinality criteria
equal(J,W,card) :- cxopt(J,W,card), #sum { -1,Q : not not conjunction(A), criteria(J,W,Q,A) ;
1,Q : true(normal(A)), criteria(J,W,Q,A) } >= 0.
worse(J) :- cxopt(J,W,card), #sum { -1,Q : not not conjunction(A), criteria(J,W,Q,A) ;
1,Q : true(normal(A)), criteria(J,W,Q,A) } >= 1.
%%%%%%%%%% check inclusion criteria
ndiff(A) :- cxopt(J,W,incl), criteria(J,W,A), true(normal(A)).
ndiff(A) :- cxopt(J,W,incl), criteria(J,W,A), not conjunction(A).
equal(J,W,incl) :- cxopt(J,W,incl), ndiff(A) : criteria(J,W,A).
worse(J) :- cxopt(J,W,incl), criteria(J,W,A), true(normal(A)), not conjunction(A).
%%%%%%%%%% check preference criteria (relative to user predicate prefer/2)
cando(A) :- cxopt(J,W,pref), criteria(J,W,A), fail(normal(A)), conjunction(A).
nocan(A) :- cxopt(J,W,pref), criteria(J,W,A), true(normal(A)).
nocan(A) :- cxopt(J,W,pref), criteria(J,W,A), not conjunction(A).
condo(A) :- cxopt(J,W,pref), criteria(J,W,A), true(normal(A)), not conjunction(A).
nocon(A) :- cxopt(J,W,pref), criteria(J,W,A), fail(normal(A)).
nocon(A) :- cxopt(J,W,pref), criteria(J,W,A), conjunction(A).
cando(J,W,A) :- cxopt(J,W,pref), criteria(J,W,A), criteria(J,W,A'), prefer(A,A'), A != A', cando(A), condo(A').
nocon(J,W,A) :- cxopt(J,W,pref), criteria(J,W,A), nocon(A).
nocon(J,W,A) :- cxopt(J,W,pref), criteria(J,W,A), nocan(A') : criteria(J,W,A'), A != A', prefer(A,A').
nocon(J,W,A) :- cxopt(J,W,pref), criteria(J,W,A), criteria(J,W,A'), prefer(A',A), not prefer(A,A'), cando(A').
equal(J,W,pref) :- cxopt(J,W,pref), criteria(J,W,A), cando(J,W,A), nocon(A') : criteria(J,W,A'), prefer(A',A), not prefer(A,A').
worse(J) :- cxopt(J,W,pref), nocon(J,W,A) : criteria(J,W,A).
%%%%%%%%%% handling fo queries and optimization statements
optimize(J,W,Q) :- output(_optimize(J,W,Q),B), conjunction(B).
:- output(_query,B), not conjunction(B).
hide(_criteria(J,W,Q)) :- output(_criteria(J,W,Q),_).
hide(_query) :- output(_query,_).
hide(_optimize(J,W,Q)) :- output(_optimize(J,W,Q),_).
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