scyther/src/mgu.c

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#include <stdlib.h>
#include <stdio.h>
#include "term.h"
#include "termlist.h"
#include "substitution.h"
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#include "mgu.h"
#include "memory.h"
/*
Most General Unifier
Unification etc.
New version yields a termlist with substituted variables, which can later be reset to NULL.
*/
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//! Global constant. If true, typed checking
/**
* Analoguous to sys->match
* 0 typed
* 1 basic typeflaws
* 2 all typeflaws
*/
int mgu_match = 0;
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void
showSubst (Term t)
{
#ifdef DEBUG
if (!DEBUGL (5))
return;
indent ();
printf ("Substituting ");
termPrint (t);
printf (", typed ");
termlistPrint (t->stype);
if (realTermLeaf (t->subst))
{
printf ("->");
termlistPrint (t->subst->stype);
}
else
{
printf (", composite term");
}
if (t->type != VARIABLE)
{
printf (" (bound roleconstant)");
}
printf ("\n");
#endif
}
//! See if a substitution is valid
__inline__ int
goodsubst (Term tvar, Term tsubst)
{
if (tvar->stype == NULL || (mgu_match == 2))
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{
return 1;
}
else
{
/**
* Check if each type of the substitution is allowed in the variable
*/
if (!realTermLeaf (tsubst))
{
// Typed var cannot match with non-leaf
return 0;
}
else
{
// It's a leaf, but what type?
if (mgu_match == 1
|| termlistContained (tvar->stype, tsubst->stype))
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{
return 1;
}
else
{
#ifdef DEBUG
if (DEBUGL (5))
{
eprintf ("Substitution fails on ");
termPrint (tvar);
eprintf (" -/-> ");
termPrint (tsubst);
eprintf (", because type: \n");
termlistPrint (tvar->stype);
eprintf (" does not contain ");
termlistPrint (tsubst->stype);
eprintf ("\n");
}
#endif
return 0;
}
}
}
}
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//! Undo all substitutions in a list of variables.
/**
* The termlist should contain only variables.
*/
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void
termlistSubstReset (Termlist tl)
{
while (tl != NULL)
{
tl->term->subst = NULL;
tl = tl->next;
}
}
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//! Most general unifier.
/**
* Try to determine the most general unifier of two terms.
* Resulting termlist must be termlistDelete'd.
*
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*@return Returns a list of variables, that were previously open, but are now closed
* in such a way that the two terms unify. Returns \ref MGUFAIL if it is impossible.
*/
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Termlist
termMguTerm (Term t1, Term t2)
{
/* added for speed */
t1 = deVar (t1);
t2 = deVar (t2);
if (t1 == t2)
return NULL;
if (!(hasTermVariable (t1) || hasTermVariable (t2)))
{
if (isTermEqual (t1, t2))
{
return NULL;
}
else
{
return MGUFAIL;
}
}
/* symmetrical tests for single variable */
if (realTermVariable (t2))
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{
if (termSubTerm (t1, t2) || !goodsubst (t2, t1))
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return MGUFAIL;
else
{
t2->subst = t1;
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#ifdef DEBUG
showSubst (t2);
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#endif
return termlistAdd (NULL, t2);
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}
}
if (realTermVariable (t1))
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{
if (termSubTerm (t2, t1) || !goodsubst (t1, t2))
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return MGUFAIL;
else
{
t1->subst = t2;
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#ifdef DEBUG
showSubst (t1);
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#endif
return termlistAdd (NULL, t1);
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}
}
/* left & right are compounds with variables */
if (t1->type != t2->type)
return MGUFAIL;
/* identical compounds */
/* encryption first */
if (realTermEncrypt (t1))
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{
Termlist tl1, tl2;
tl1 = termMguTerm (t1->right.key, t2->right.key);
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if (tl1 == MGUFAIL)
{
return MGUFAIL;
}
else
{
tl2 = termMguTerm (t1->left.op, t2->left.op);
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if (tl2 == MGUFAIL)
{
termlistSubstReset (tl1);
termlistDelete (tl1);
return MGUFAIL;
}
else
{
return termlistConcat (tl1, tl2);
}
}
}
/* tupling second
non-associative version ! TODO other version */
if (isTermTuple (t1))
{
Termlist tl1, tl2;
tl1 = termMguTerm (t1->left.op1, t2->left.op1);
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if (tl1 == MGUFAIL)
{
return MGUFAIL;
}
else
{
tl2 = termMguTerm (t1->right.op2, t2->right.op2);
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if (tl2 == MGUFAIL)
{
termlistSubstReset (tl1);
termlistDelete (tl1);
return MGUFAIL;
}
else
{
return termlistConcat (tl1, tl2);
}
}
}
return MGUFAIL;
}
//! Most general interm unifiers of t1 interm t2
/**
* Try to determine the most general interm unifiers of two terms.
*@returns Nothing. Iteration gets termlist of substitutions.
*/
int
termMguInTerm (Term t1, Term t2, int (*iterator) ())
{
Termlist tl;
int flag;
flag = 1;
t2 = deVar (t2);
if (t2 != NULL)
{
if (realTermTuple (t2))
{
// t2 is a tuple, consider interm options as well.
flag = flag && termMguInTerm (t1, t2->left.op1, iterator);
flag = flag && termMguInTerm (t1, t2->right.op2, iterator);
}
// simple clause or combined
tl = termMguTerm (t1, t2);
if (tl != MGUFAIL)
{
// Iterate
flag = flag && iterator (tl);
// Reset variables
termlistSubstReset (tl);
// Remove list
termlistDelete (tl);
}
}
else
{
if (deVar (t1) != NULL)
{
flag = 0;
}
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}
return flag;
}
//! Most general subterm unifiers of t1 subterm t2
/**
* Try to determine the most general subterm unifiers of two terms.
*@returns Nothing. Iteration gets termlist of subst, and list of keys needed to decrypt.
*/
int
termMguSubTerm (Term t1, Term t2, int (*iterator) (),
Termlist inverses, Termlist keylist)
{
int flag;
Termlist tl;
flag = 1;
t2 = deVar (t2);
if (t2 != NULL)
{
if (!realTermLeaf (t2))
{
if (realTermTuple (t2))
{
// 'simple' tuple
flag =
flag && termMguSubTerm (t1, t2->left.op1, iterator, inverses,
keylist);
flag =
flag && termMguSubTerm (t1, t2->right.op2, iterator, inverses,
keylist);
}
else
{
// Must be encryption
// So, we need the key, and try to get the rest
Termlist keylist_new;
Term newkey;
keylist_new = termlistShallow (keylist);
newkey = inverseKey (inverses, t2->right.key);
keylist_new = termlistAdd (keylist_new, newkey);
// Recurse
flag =
flag && termMguSubTerm (t1, t2->left.op, iterator, inverses,
keylist_new);
termlistDelete (keylist_new);
termDelete (newkey);
}
}
// simple clause or combined
tl = termMguTerm (t1, t2);
if (tl != MGUFAIL)
{
// Iterate
flag = flag && iterator (tl, keylist);
// Reset variables
termlistSubstReset (tl);
// Remove list
termlistDelete (tl);
}
}
else
{
if (deVar (t1) != NULL)
{
flag = 0;
}
}
return flag;
}