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#include <stdlib.h>
#include "eval.h"
#include "stdio.h"
#include "parse.h"
/* TODO: error reporting */
char conjunct_intro_is_sound(line_t line, line_t ref1, line_t ref2) {
prop_t prop = line.proposition;
prop_t a = *prop.propA;
prop_t b = *prop.propB;
prop_t r1p = ref1.proposition;
prop_t r2p = ref2.proposition;
/* the references are in a deeper scope than the justification */
if (!seqlt(line.scope, ref1.scope) || !seqlt(line.scope, ref2.scope)) {
return 0;
}
return (peq(a, r1p) && peq(b, r2p)) || (peq(a, r2p) && peq(b, r1p));
}
char disjunct_intro_is_sound(line_t line, line_t ref1) {
prop_t prop = line.proposition;
prop_t a = *prop.propA;
prop_t b = *prop.propB;
prop_t r1p = ref1.proposition;
if (!seqlt(line.scope, ref1.scope)) {
return 0;
}
return peq(a, r1p) || peq(b, r1p);
}
char implication_intro_is_sound(line_t line, line_t ref1, line_t ref2) {
prop_t prop = line.proposition;
prop_t a = *prop.propA;
prop_t b = *prop.propB;
prop_t r1p = ref1.proposition;
prop_t r2p = ref2.proposition;
line_t as;
line_t res;
/* find the positions of the arguments */
if (peq(a, r1p) && peq(b, r2p)) {
as = ref1;
res = ref2;
}
else if (peq(a, r2p) && peq(b, r1p)) {
as = ref2;
res = ref1;
}
else {
return 0;
}
/* ensure that the arguments are in the correct scope */
if (as.scope.id != res.scope.id || as.scope.depth != line.scope.depth + 1) {
return 0;
}
return 1;
}
char contradiction_intro_is_sound(line_t line, line_t ref1, line_t ref2) {
prop_t prop = line.proposition;
if (!prop.isContradiction) {
return 0;
}
prop_t r1p = ref1.proposition;
prop_t r2p = ref2.proposition;
if (r1p.isNegative == r2p.isNegative) {
return 0;
}
if (!seqlt(line.scope, ref1.scope) || !seqlt(line.scope, ref2.scope)) {
return 0;
}
if (!pbeq(r1p, r2p) ) {
return 0;
}
return 1;
}
char negation_intro_is_sound(line_t line, line_t ref1, line_t ref2) {
prop_t prop = line.proposition;
if (!prop.isNegative) {
return 0;
}
prop_t r1p = ref1.proposition;
prop_t r2p = ref2.proposition;
prop_t as;
/* TODO: scoping */
if (r1p.isContradiction) {
as = r2p;
}
else if (r2p.isContradiction) {
as = r1p;
}
else {
return 0;
}
if (!pbeq(as, prop) || as.isNegative == prop.isNegative) {
return 0;
}
return 1;
}
char conjunct_elim_is_sound(line_t line, line_t ref1) {
prop_t prop = line.proposition;
prop_t r1p = ref1.proposition;
if (!seqlt(line.scope, ref1.scope)) {
return 0;
}
return peq(prop, *r1p.propA) || peq(prop, *r1p.propB);
}
char implication_elim_is_sound(line_t line, line_t ref1, line_t ref2) {
prop_t prop = line.proposition;
prop_t r1p = ref1.proposition;
prop_t r2p = ref2.proposition;
if (!seqlt(line.scope, ref1.scope) || !seqlt(line.scope, ref2.scope)) {
return 0;
}
if (!r1p.isSimple && peq(prop, *r1p.propB) && r1p.relation == IMPLICATION && peq(r2p, *r1p.propA)) {
return 1;
}
else if (!r2p.isSimple && peq(prop, *r2p.propB) && r2p.relation == IMPLICATION && peq(r1p, *r2p.propA)) {
return 1;
}
else {
return 0;
}
}
char just_is_sound(line_t line, lineSet_t lines) {
just_t just = line.justification;
line_t ref1, ref2, ref3;
if (just.referencesCount > 0) {
ref1 = lines.lines[just.references[0] - 1];
if (just.referencesCount > 1) {
ref2 = lines.lines[just.references[1] - 1];
if (just.referencesCount > 2) {
ref3 = lines.lines[just.references[2] - 1];
}
}
}
switch (just.rule) {
case PREMISE_R:
return 1;
case ASSUMPTION_R:
return 1;
case CONJUNCT_INTRO:
return conjunct_intro_is_sound(line, ref1, ref2);
case DISJUNCT_INTRO:
return disjunct_intro_is_sound(line, ref1);
case IMPLICATION_INTRO:
return implication_intro_is_sound(line, ref1, ref2);
case CONTRADICTION_INTRO:
return contradiction_intro_is_sound(line, ref1, ref2);
case NEGATION_INTRO:
return negation_intro_is_sound(line, ref1, ref2);
case CONJUNCT_ELIM:
return conjunct_elim_is_sound(line, ref1);
case IMPLICATION_ELIM:
return implication_elim_is_sound(line, ref1, ref2);
default:
return 0;
}
}
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