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yap-6.3/cplint/semlpad.pl

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/*
LPAD and CP-Logic reasoning suite
File semlpad.pl
Program for building the semantics of an LPAD
Queries are answered by using SLG in every instance
Copyright (c) 2007, Fabrizio Riguzzi
*/
:-module(semlpad,[p/1,s/2,sc/3,set/2]).
:-use_module(library(lists)).
:-dynamic setting/2.
:-set_prolog_flag(unknown,fail).
:- dynamic new_number/1.
:-[library(slg)].
:-retract('slg$default'(_D)),assert('slg$default'(tabled)).
setting(epsilon,0.00001).
%setting(ground_body,true).
setting(ground_body,false).
/* available values: true, false
if true, both the head and the body of each clause will be grounded, otherwise
only the head is grounded. In the case in which the body contains variables
not appearing in the head, the body represents an existential event */
%setting(grounding,variables).
setting(grounding,modes).
/* available values: variables, modes
if set to variables, the universe facts from the .uni file are used
if set to modes, the mode and type declaration from the .uni file are used
*/
new_number(0).
sc(Goals,Evidence,Prob):-
s(Evidence,ProbE),
append(Goals,Evidence,GE),
s(GE,ProbGE),
Prob is ProbGE/ProbE.
s(GoalsList,Prob):-
program_names(L),
convert_to_goal(GoalsList,Goal,L),
run_query(L,Goal,0,Prob).
run_query([],_G,P,P).
run_query([Prog|T],Goal,PIn,POut):-
elab_conj(Prog,Goal,Goal1),
slg(Goal1),!,
prob(Prog,P),
P1 is PIn+P,
run_query(T,Goal,P1,POut).
run_query([_Prog|T],Goal,PIn,POut):-
run_query(T,Goal,PIn,POut).
convert_to_goal([Goal],Goal,_Pr):-!.
convert_to_goal(GoalsList,Head,Pr):-
get_new_atom(Atom),
extract_vars(GoalsList,[],V),
Head=..[Atom|V],
list2and(GoalsList,Body),
elab_conj(Prog,Head,HeadP),
elab_conj(Prog,Body,BodyP),
do_term_expansion((HeadP:-BodyP),LC),
assert_in_all_prog(LC,Prog,Pr).
get_new_atom(Atom):-
retract(new_number(N)),
N1 is N+1,
assert(new_number(N1)),
number_atom(N,NA),
atom_concat('$call',NA,Atom).
assert_in_all_prog(_LC,_Prog,[]).
assert_in_all_prog(LC,Prog,[PrH|PrT]):-
copy_term((LC,Prog),(LC1,Prog1)),
Prog1=PrH,
assert_all(LC1),
assert_in_all_prog(LC,Prog,PrT).
/* predicate for parsing the program file */
p(File):-
atom_concat(File,'.uni',FileUni),
consult(FileUni),
atom_concat(File,'.cpl',FilePl),
open(FilePl,read,S),
read_clauses(S,C),
close(S),
process_clauses(C,ClausesVar),
instantiate(ClausesVar,[],Clauses),
assert(program(1)),
assert(program_names([])),
create_programs(Clauses).
create_programs(Clauses):-
create_single_program(Clauses,1,Program),
retract(program(N)),
number_codes(N,NC),
atom_codes(NA,NC),
atom_concat(p,NA,Name),
N1 is N+1,
assert(program(N1)),
format("Writing instance ~d~n",[N]),
write_program(Name,Program),
retract(program_names(L)),
append(L,[Name],L1),
assert(program_names(L1)),
fail.
create_programs(_).
write_program(Name,[(prob(P):-true)]):-!,
elab_conj(Name,prob(P),Pr),
assertz(Pr).
write_program(Name,[(H:-B)|T]):-
elab_conj(Name,H,H1),
elab_conj(Name,B,B1),
do_term_expansion((H1:-B1),LC),
assert_all(LC),
write_program(Name,T).
elab_conj(_Name,true,true):-!.
elab_conj(Name,\+(B),\+(B1)):-!,
elab_conj(Name,B,B1).
elab_conj(Name,(BL,Rest),(BL1,Rest1)):-!,
elab_conj(Name,BL,BL1),
elab_conj(Name,Rest,Rest1).
elab_conj(Name,bagof(V,EV^G,L),bagof(V,EV^GL,L)):-!,
elab_conj(Name,G,GL).
elab_conj(Name,bagof(V,G,L),bagof(V,GL,L)):-!,
elab_conj(Name,G,GL).
elab_conj(Name,setof(V,EV^G,L),setof(V,EV^GL,L)):-!,
elab_conj(Name,G,GL).
elab_conj(Name,setof(V,G,L),setof(V,GL,L)):-!,
elab_conj(Name,G,GL).
elab_conj(Name,findall(V,G,L),findall(V,GL,L)):-!,
elab_conj(Name,G,GL).
elab_conj(_Name,A,A):-
bg(A),!.
elab_conj(_Name,A,A):-
builtin(A),!.
elab_conj(Name,Lit,Lit1):-
Lit\=(_,_),
Lit=..[Pred|Args],
Lit1=..[Pred,Name|Args].
create_single_program([],P,[(prob(P):-true)]).
create_single_program([r(H,B)|T],PIn,[(HA:-B)|T1]):-
member((HA:P),H),
P1 is PIn*P,
create_single_program(T,P1,T1).
/* predicates for producing the ground instances of program clauses */
instantiate([],C,C).
instantiate([r(_V,[H:1],B)|T],CIn,COut):-!,
append(CIn,[r([H:1],B)],C1),
instantiate(T,C1,COut).
instantiate([r(V,H,B)|T],CIn,COut):-
(setting(grounding,variables)->
findall(r(H,BOut),instantiate_clause_variables(V,H,B,BOut),L)
;
findall(r(H,BOut),instantiate_clause_modes(H,B,BOut),L)
),
append(CIn,L,C1),
instantiate(T,C1,COut).
instantiate_clause_modes(H,B,BOut):-
instantiate_head_modes(H),
list2and(BL,B),
instantiate_body_modes(BL,BLOut),
list2and(BLOut,BOut).
instantiate_head_modes([]):-!.
instantiate_head_modes([H:_P|T]):-
instantiate_atom_modes(H),
instantiate_head_modes(T).
instantiate_body_modes(BL,BL):-
setting(ground_body,false),!.
instantiate_body_modes(BL0,BL):-
instantiate_list_modes(BL0,BL).
instantiate_list_modes([],[]).
instantiate_list_modes([H|T0],T):-
builtin(H),!,
call(H),
instantiate_list_modes(T0,T).
instantiate_list_modes([\+ H|T0],T):-
builtin(H),!,
\+ call(H),
instantiate_list_modes(T0,T).
instantiate_list_modes([\+ H|T0],[\+ H|T]):-!,
instantiate_atom_modes(H),
instantiate_list_modes(T0,T).
instantiate_list_modes([H|T0],[H|T]):-
instantiate_atom_modes(H),
instantiate_list_modes(T0,T).
instantiate_atom_modes(''):-!.
instantiate_atom_modes(A):-
functor(A,F,NArgs),
functor(TA,F,NArgs),
A=..[F|Args],
mode(TA),
TA=..[F|Types],
instantiate_args_modes(Args,Types).
instantiate_args_modes([],[]):-!.
instantiate_args_modes([H|T],[TH|TT]):-
type(TH,Constants),
member(H,Constants),
instantiate_args_modes(T,TT).
instantiate_clause_variables([],_H,B,BOut):-
list2and(BL,B),
(setting(ground_body,true)->
check_body(BL,BLOut)
;
BLOut=BL
),
list2and(BLOut,BOut).
instantiate_clause_variables([VarName=Var|T],H,BIn,BOut):-
universe(VarNames,U),
member(VarName,VarNames),
member(Var,U),
instantiate_clause_variables(T,H,BIn,BOut).
instantiate_clause_variables([VarName=_Var|T],H,BIn,BOut):-
\+ varName_present_variables(VarName),!,
instantiate_clause_variables(T,H,BIn,BOut).
varName_present_variables(VarName):-
universe(VarNames,_U), member(VarName,VarNames).
check_body([],[]).
check_body([H|T],TOut):-
builtin(H),!,
call(H),
check_body(T,TOut).
check_body([H|T],[H|TOut]):-
check_body(T,TOut).
process_clauses([(end_of_file,[])],[]).
process_clauses([((H:-B),V)|T],[r(V,HL,B)|T1]):-
H=(_;_),!,
list2or(HL1,H),
process_head(HL1,0,HL),
process_clauses(T,T1).
process_clauses([((H:-B),V)|T],[r(V,HL,B)|T1]):-
H=(_:_),!,
list2or(HL1,H),
process_head(HL1,0,HL),
process_clauses(T,T1).
process_clauses([((H:-B),V)|T],[r(V,[H:1],B)|T1]):-!,
process_clauses(T,T1).
process_clauses([(H,V)|T],[r(V,HL,true)|T1]):-
H=(_;_),!,
list2or(HL1,H),
process_head(HL1,0,HL),
process_clauses(T,T1).
process_clauses([(H,V)|T],[r(V,HL,true)|T1]):-
H=(_:_),!,
list2or(HL1,H),
process_head(HL1,0,HL),
process_clauses(T,T1).
process_clauses([(H,V)|T],[r(V,[H:1],true)|T1]):-
process_clauses(T,T1).
process_head([H:PH],P,[H:PH1|Null]):-
PH1 is PH,
PNull is 1-P-PH1,
setting(epsilon,Eps),
EpsNeg is - Eps,
PNull > EpsNeg,
(PNull>Eps->
Null=['':PNull]
;
Null=[]
).
process_head([H:PH|T],P,[H:PH1|NT]):-
PH1 is PH,
P1 is P+PH1,
process_head(T,P1,NT).
/* predicates for reading in the program clauses */
read_clauses(S,Clauses):-
(setting(ground_body,true)->
read_clauses_ground_body(S,Clauses)
;
read_clauses_exist_body(S,Clauses)
).
read_clauses_ground_body(S,[(Cl,V)|Out]):-
read_term(S,Cl,[variable_names(V)]),
(Cl=end_of_file->
Out=[]
;
read_clauses_ground_body(S,Out)
).
read_clauses_exist_body(S,[(Cl,V)|Out]):-
read_term(S,Cl,[variable_names(VN)]),
extract_vars_cl(Cl,VN,V),
(Cl=end_of_file->
Out=[]
;
read_clauses_exist_body(S,Out)
).
extract_vars_cl(end_of_file,[]).
extract_vars_cl(Cl,VN,Couples):-
(Cl=(H:-_B)->
true
;
H=Cl
),
extract_vars(H,[],V),
pair(VN,V,Couples).
pair(_VN,[],[]).
pair([VN= _V|TVN],[V|TV],[VN=V|T]):-
pair(TVN,TV,T).
extract_vars(Var,V0,V):-
var(Var),!,
(member_eq(Var,V0)->
V=V0
;
append(V0,[Var],V)
).
extract_vars(Term,V0,V):-
Term=..[_F|Args],
extract_vars_list(Args,V0,V).
extract_vars_list([],V,V).
extract_vars_list([Term|T],V0,V):-
extract_vars(Term,V0,V1),
extract_vars_list(T,V1,V).
member_eq(A,[H|_T]):-
A==H,!.
member_eq(A,[_H|T]):-
member_eq(A,T).
/* auxiliary predicates */
list2or([X],X):-
X\=;(_,_),!.
list2or([H|T],(H ; Ta)):-!,
list2or(T,Ta).
list2and([],true):-!.
list2and([X],X):-
X\=(_,_),!.
list2and([H|T],(H,Ta)):-!,
list2and(T,Ta).
builtin(_A is _B).
builtin(_A > _B).
builtin(_A < _B).
builtin(_A >= _B).
builtin(_A =< _B).
builtin(_A =:= _B).
builtin(_A =\= _B).
builtin(true).
builtin(false).
builtin(_A = _B).
builtin(_A==_B).
builtin(_A\=_B).
builtin(_A\==_B).
bg(member(_El,_L)).
bg(average(_L,_Av)).
bg(max_list(_L,_Max)).
bg(min_list(_L,_Max)).
average(L,Av):-
sum_list(L,Sum),
length(L,N),
Av is Sum/N.
/* set(Par,Value) can be used to set the value of a parameter */
set(Parameter,Value):-
retract(setting(Parameter,_)),
assert(setting(Parameter,Value)).
assert_all([]):-!.
assert_all([(:- G)|T]):-!,
call(G),
assert_all(T).
assert_all([H|T]):-!,
assertz((H)),
assert_all(T).
assert_all(C):-
assertz((C)).