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#include <stdlib.h>
#include "eval.h"
#include "stdio.h"
#include "parse.h"
char just_is_sound(line_t line, lineSet_t lines) {
prop_t prop = line.proposition;
just_t just = line.justification;
prop_t a, b, w, x, y, z;
line_t wl, xl, yl, zl;
switch (just.rule) {
case PREMISE_R:
return 1;
case ASSUMPTION_R:
return 1;
case CONJUNCT_INTRO:
a = *prop.propA;
b = *prop.propB;
wl = lines.lines[just.references[0] - 1];
xl = lines.lines[just.references[1] - 1];
w = wl.proposition;
x = xl.proposition;
/* the references are in a deeper scope than the justification */
if (!seqlt(line.scope, wl.scope) || !seqlt(line.scope, xl.scope)) {
return 0;
}
return (peq(a, w) && peq(b, x)) || (peq(a, x) && peq(b, w));
case DISJUNCT_INTRO:
a = *prop.propA;
b = *prop.propB;
wl = lines.lines[just.references[0] - 1];
w = wl.proposition;
if (!seqlt(line.scope, wl.scope)) {
return 0;
}
return peq(a, w) || peq(b, w);
case IMPLICATION_INTRO:
a = *prop.propA;
b = *prop.propB;
wl = lines.lines[just.references[0] - 1];
xl = lines.lines[just.references[1] - 1];
line_t as;
line_t res;
/* find the positions of the arguments */
if (peq(a, wl.proposition) && peq(b, xl.proposition)) {
as = wl;
res = xl;
}
else if (peq(a, xl.proposition) && peq(b, wl.proposition)) {
as = xl;
res = wl;
}
else {
return 0;
}
/* ensure that the arguments are in the correct scope */
return as.scope.id == res.scope.id && as.scope.depth == line.scope.depth + 1;
case CONJUNCT_ELIM:
wl = lines.lines[just.references[0] - 1];
w = wl.proposition;
if (!seqlt(line.scope, wl.scope)) {
return 0;
}
return peq(prop, *w.propA) || peq(prop, *w.propB);
default:
return 0;
}
}
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