better understanding of ddnnf.
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Vitor Santos Costa
parent
c3da25227f
commit
178ad27db8
@ -1,13 +1,9 @@
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:- module(ddnnf,
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[assignments_to_ddnnf/4,
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ddnnf/3,
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[cnf_to_ddnnf/5,
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ddnnf/5,
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ddnnf_is/2]).
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:- source.
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:- style_check(all).
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:- use_module(library(lists)).
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:- use_module(library(readutil)).
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:- use_module(library(lineutils)).
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@ -15,35 +11,46 @@
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:- use_module(library(cnf)).
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:- use_module(library(simpbool)).
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assignments_to_ddnnf(List, Vars, LVars, DDNNF) :-
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list2cnfs(List, CNF, []),
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% (numbervars(CNF,1,_), writeln(Vars:CNF), fail ; true),
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open(dimacs, write, S),
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%
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% convert a CNF as list with Variables Vars and Existential variables
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% in DDNNF, Exs \in LVars into DDNNF with extra existential vars
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%
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cnf_to_ddnnf(CNF0, Vars, Exs, LVars, DDNNF) :-
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list2cnf(CNF0, CNF, []),
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new_variables_in_term(Vars, CNF, LVars),
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append(Vars, LVars, MVars),
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cnf_to_file(CNF, MVars, S),
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append(Exs, LVars, MVars),
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append(Vars, LVars, AllVars),
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% (numbervars(CNF,1,_), writeln(CNF), fail ; true),
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open(dimacs, write, S),
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cnf_to_file(CNF, AllVars, S),
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close(S),
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% execute c2d at this point, but we're lazy
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unix(system('c2d -dt_method 3 -in dimacs')),
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% execute c2d at this point, but we're lazy%
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% unix(system('c2d -dt_method 3 -in dimacs')),
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unix(system('c2d -in dimacs')),
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open('dimacs.nnf',read,R),
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SVars =.. [v|MVars],
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SVars =.. [v|AllVars],
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% ones(LVars),
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input_ddnnf(R, SVars, DDNNF),
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input_ddnnf(R, SVars, MVars, DDNNF),
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% writeln(DDNNF),
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close(R).
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list2cnfs([]) --> [].
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list2cnfs([(O=Impl)|Impls]) --> !,
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{cvt(O,FO)},
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disj2cnf(Impl, FO),
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list2cnfs(Impls).
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list2cnfs([CNF|Impls]) -->
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list2cnf([]) --> [].
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list2cnf([(O=A)|Impls]) --> !,
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{cvt(O,FO,NO),
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and2cnf(A,Conj,[]) },
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[[FO|Conj]],
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disj(A, NO),
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list2cnf(Impls).
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list2cnf([CNF|Impls]) -->
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{ to_format(CNF, Format, []) },
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[Format],
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list2cnfs(Impls).
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list2cnf(Impls).
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cvt(O,O) :- var(O), !.
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cvt(not(O),-O).
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cvt(O,O,-O) :- var(O), !.
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cvt(not(O),-O,O).
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neg(O,-O) :- var(O), !.
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neg(-O,O).
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to_format(A) -->
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{ var(A) },
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@ -60,18 +67,6 @@ to_format(A) -->
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[A].
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disj2cnf(B, O) -->
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{ var(B) }, !,
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[[O|R]],
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{ and2cnf(B, R, []) }.
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disj2cnf(A+B, O) -->
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!,
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disj2cnf(A, O),
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disj2cnf(B, O).
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disj2cnf(B, O) -->
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[[O|R]],
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{ and2cnf(B, R, []) }.
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and2cnf(A) -->
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{ var(A) },
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!,
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@ -87,26 +82,44 @@ and2cnf(A) -->
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!,
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[-A].
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ddnnf(List, Vars, DDNNF) :-
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disj(A, NO) -->
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{ var(A) }, !,
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[[NO,A]].
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disj(A*B, NO) --> !,
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disj(A, NO),
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disj(B, NO).
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disj(A, NO) -->
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[[NO,A]].
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%
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% convert a boolean expression with Variables Vars and Existential variables
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% in DDNNF, Exs \in LVars into DDNNF with extra existential vars
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%
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% ex: (A*B+not(B))*(C=B) into something complicated
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%
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ddnnf(List, Vars, Exs, LVars, DDNNF) :-
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exps2conj(List, Conj),
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once(cnf(Conj, CNF)),
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(numbervars(CNF,1,_), writeln(Vars:CNF), fail ; true),
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cnf(Conj, CNF),
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% (numbervars(CNF,1,_), writeln(Vars:CNF), fail ; true),
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open(dimacs, write, S),
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new_variables_in_term(Vars, CNF, LVars),
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append(Vars, LVars, MVars),
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cnf_to_file(CNF, MVars, S),
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append(Exs, LVars, MVars),
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append(Vars, LVars, AllVars),
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cnf_to_file(CNF, AllVars, S),
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close(S),
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% execute c2d at this point, but we're lazy
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unix(system('c2d -in dimacs')),
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open('dimacs.nnf',read,R),
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SVars =.. [v|MVars],
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SVars =.. [v|AllVars],
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% ones(LVars),
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input_ddnnf(R, SVars, DDNNF),
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input_ddnnf(R, SVars, MVars, DDNNF),
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close(R).
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exps2conj([Conj], Conj) :- !.
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exps2conj([Head|List], Head*Conj) :-
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exps2conj(List, Conj).
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exps2conj((C1,C2), CC1*CC2) :- !,
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exps2conj(C1, CC1),
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exps2conj(C2, CC2).
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exps2conj((Conj), CConj) :-
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cvt_el(Conj, CConj).
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cvt_el(V, V) :- var(V), !.
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cvt_el(not(X), -X1) :- !,
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@ -117,6 +130,9 @@ cvt_el(X+Y, X1+Y1) :- !,
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cvt_el(X*Y, X1*Y1) :- !,
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cvt_el(X, X1),
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cvt_el(Y, Y1).
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cvt_el(X=Y, X1==Y1) :- !,
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cvt_el(X, X1),
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cvt_el(Y, Y1).
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cvt_el(X, X).
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cnf_to_file(List, Vars, S) :-
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@ -147,39 +163,47 @@ output_cnf([V|CNF], S) :-
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format(S, '~d ',[V]),
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output_cnf(CNF, S).
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input_ddnnf(Stream, SVars, ddnnf(Out, SVars, Result)) :-
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input_ddnnf(Stream, SVars, Exs, ddnnf(Out, SVars, Result)) :-
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read_line_to_codes(Stream, Header),
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split(Header, ["nnf",VS,_ES,_NS]),
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number_codes(NVs, VS),
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functor(TempResults, nnf, NVs),
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process_nnf_lines(Stream, SVars, 1, TempResults, Out, Last),
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process_nnf_lines(Stream, SVars, Exs, 1, TempResults, Out, Last),
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Last1 is Last-1,
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arg(Last1, TempResults, Result).
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process_nnf_lines(Stream, SVars, LineNumber, TempResults, O, LL) :-
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process_nnf_lines(Stream, SVars, Exs, LineNumber, TempResults, O, LL) :-
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read_line_to_codes(Stream, Codes),
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( Codes = end_of_file -> O = [], LL = LineNumber ;
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% (LineNumber > 1 -> N is LineNumber-1, arg(N,TempResults,P), format("~w ",[P]);true),
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% format("~s~n",[Codes]),
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arg(LineNumber, TempResults, P),
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process_nnf_line(SVars, TempResults, Exp0, Codes, []),
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process_nnf_line(SVars, Exs, TempResults, Exp0, Codes, []),
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simplify_line(P=Exp0, Lines, O),
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NewLine is LineNumber+1,
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process_nnf_lines(Stream, SVars, NewLine, TempResults, Lines, LL)
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process_nnf_lines(Stream, SVars, Exs, NewLine, TempResults, Lines, LL)
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).
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process_nnf_line(SVars, _TempResults, Exp) --> "L ",
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nnf_leaf(SVars, Exp).
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process_nnf_line(_SVars, TempResults, Exp) --> "A ",
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process_nnf_line(SVars, Exs, _TempResults, Exp) --> "L ",
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nnf_leaf(SVars, Exs, Exp).
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process_nnf_line(_SVars, _, TempResults, Exp) --> "A ",
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nnf_and_node(TempResults, Exp).
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process_nnf_line(_SVars, TempResults, Exp) --> "O ",
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process_nnf_line(_SVars, _, TempResults, Exp) --> "O ",
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nnf_or_node(TempResults, Exp).
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nnf_leaf(SVars, Prob, Codes, []) :-
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nnf_leaf(SVars, Exs, Prob, Codes, []) :-
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number_codes(Number, Codes),
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Abs is abs(Number),
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arg(Abs, SVars, Node),
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(Number < 0 -> Prob = (1-Node) ; Prob = Node).
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(Number < 0 ->
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(existential(Node,Exs) -> Prob = 1 ; Prob = 1-Node )
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;
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Prob = Node
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).
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existential(F,[F1|Exs]) :- F == F1, !.
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existential(F,[_|Exs]) :-
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existential(F, Exs).
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nnf_and_node(TempResults, Product, Codes, []) :-
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split(Codes, [_|NumberAsStrings]),
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@ -218,12 +242,17 @@ propagate_constants(0, 0, Lines, Lines) :- !.
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propagate_constants(1, 1, Lines, Lines) :- !.
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propagate_constants(Exp, A, Lines, [(A=Exp)|Lines]).
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%
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% compute the value of a SP
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%
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%
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ddnnf_is(ddnnf(F, _Vs, Out), Out) :-
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%(numbervars(F,1,_),writeln(F),fail;true),
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ddnnf_is_acc(F).
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%ddnnf_is_acc([H=Exp|_]) :- writeln((H=Exp)),fail.
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ddnnf_is_acc([]).
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ddnnf_is_acc([H=Exp|Attrs]) :-
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% term_variables(Exp, Vs), ones(Vs),
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H is Exp,
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%writeln(Exp:H),
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ddnnf_is_acc(Attrs).
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