Make merging nodes an option.
[repair.git] / Repair / RepairCompiler / MCC / IR / Termination.java
index 465675c01f9fd1289ceb7bab6f545834a1abc254..0a0859c18b0a787fe8f43b39f538f9fbe8dc0785 100755 (executable)
@@ -26,10 +26,17 @@ public class Termination {
     ComputeMaxSize maxsize;
     State state;
     AbstractInterferes abstractinterferes;
+    ConcreteInterferes concreteinterferes;
     ConstraintDependence constraintdependence;
     ExactSize exactsize;
     ArrayAnalysis arrayanalysis;
     Sources sources;
+    static String conjoption="style=bold";
+    static String absrepoption="shape=box,color=blue,style=bold";
+    static String updateoption="shape=box,color=red,style=bold";
+    static String scopeoption="color=brown";
+    static String conseqoption="style=bold,color=green";
+    static String compoption="shape=box,color=purple,style=bold";
 
     public Termination(State state) {
        this.state=state;
@@ -49,7 +56,7 @@ public class Termination {
        predtoabstractmap=new Hashtable();
        if (!Compiler.REPAIR)
            return;
-       
+
 
        for(int i=0;i<state.vRules.size();i++)
            System.out.println(state.vRules.get(i));
@@ -62,23 +69,31 @@ public class Termination {
        arrayanalysis=new ArrayAnalysis(state,this);
 
        abstractinterferes=new AbstractInterferes(this);
+       concreteinterferes=new ConcreteInterferes(this);
        generateconjunctionnodes();
        constraintdependence=new ConstraintDependence(state,this);
 
+        debugmsg("Generating scope nodes");
        generatescopenodes();
+        debugmsg("Generating repair nodes");
        generaterepairnodes();
+        debugmsg("Generating data structure nodes");
        generatedatastructureupdatenodes();
-       generatecompensationnodes();
-
+        debugmsg("Generating compensation nodes");
+       if (!Compiler.OMITCOMP)
+           generatecompensationnodes();
+        debugmsg("Generating abstract edges");
        generateabstractedges();
+        debugmsg("Generating scope edges");
        generatescopeedges();
+        debugmsg("Generating update edges");
        generateupdateedges();
 
 
        HashSet superset=new HashSet();
        superset.addAll(conjunctions);
        HashSet closureset=new HashSet();
-
+        debugmsg("Computing closure");
        GraphNode.computeclosure(superset,closureset);
        try {
            GraphNode.DOTVisitor.visit(new FileOutputStream("graph.dot"),superset);
@@ -86,6 +101,9 @@ public class Termination {
            e.printStackTrace();
            System.exit(-1);
        }
+
+       generatedebuggraphs();
+
        for(Iterator it=updatenodes.iterator();it.hasNext();) {
            GraphNode gn=(GraphNode)it.next();
            TermNode tn=(TermNode)gn.getOwner();
@@ -99,7 +117,6 @@ public class Termination {
            System.out.println("Can't generate terminating repair algorithm!");
            System.exit(-1);
        }
-       constraintdependence.traversedependences(this);
 
        System.out.println("Removing:");
        for(Iterator it=removedset.iterator();it.hasNext();) {
@@ -117,7 +134,30 @@ public class Termination {
            e.printStackTrace();
            System.exit(-1);
        }
+       constraintdependence.traversedependences(this);
+    }
+
+    void generatedebuggraphs() {
+       for (int i=0;i<Compiler.debuggraphs.size();i++) {
+           DebugItem di=(DebugItem) Compiler.debuggraphs.get(i);
+           HashSet superset=new HashSet();
+           Constraint constr=(Constraint)state.vConstraints.get(di.constraintnum);
 
+           if (di.conjunctionnum==-1) {
+               superset.addAll((Set)conjunctionmap.get(constr));
+           } else {
+               DNFConstraint dnf=constr.dnfconstraint;
+               superset.add(conjtonodemap.get(dnf.get(di.conjunctionnum)));
+           }
+
+           GraphNode.boundedcomputeclosure(superset,null,di.depth);
+           try {
+               GraphNode.DOTVisitor.visit(new FileOutputStream("graph"+di.constraintnum+"-"+di.depth+(di.conjunctionnum==-1?"":"-"+di.conjunctionnum)+".dot"),superset);
+           } catch (Exception e) {
+               e.printStackTrace();
+               System.exit(-1);
+           }
+       }
     }
 
 
@@ -137,13 +177,12 @@ public class Termination {
                GraphNode gn=new GraphNode("Conj"+i+"A"+j,
                                           "Conj ("+i+","+j+") "+dnf.get(j).name()
                                           ,tn);
+               gn.setOption(conjoption);
                conjunctions.add(gn);
                if (!conjunctionmap.containsKey(c))
                    conjunctionmap.put(c,new HashSet());
                ((Set)conjunctionmap.get(c)).add(gn);
                conjtonodemap.put(dnf.get(j),gn);
-
-
            }
            // Construct quantifier "conjunction" nodes
            for(int j=0;j<c.numQuantifiers();j++) {
@@ -155,9 +194,11 @@ public class Termination {
                    DNFConstraint dconst=new DNFConstraint(ip);
                    dconst=dconst.not();
                    TermNode tn=new TermNode(c,dconst.get(0));
+                   tn.setquantifiernode();
                    GraphNode gn=new GraphNode("Conj"+i+"AQ"+j,
                                               "Conj ("+i+","+j+") "+dconst.get(0).name()
                                               ,tn);
+                   gn.setOption(conjoption);
                    conjunctions.add(gn);
                    if (!conjunctionmap.containsKey(c))
                        conjunctionmap.put(c,new HashSet());
@@ -171,15 +212,16 @@ public class Termination {
                    DNFConstraint dconst=new DNFConstraint(ip);
                    dconst=dconst.not();
                    TermNode tn=new TermNode(c,dconst.get(0));
+                   tn.setquantifiernode();
                    GraphNode gn=new GraphNode("Conj"+i+"AQ"+j,
                                               "Conj ("+i+","+j+") "+dconst.get(0).name()
                                               ,tn);
+                   gn.setOption(conjoption);
                    conjunctions.add(gn);
                    if (!conjunctionmap.containsKey(c))
                        conjunctionmap.put(c,new HashSet());
                    ((Set)conjunctionmap.get(c)).add(gn);
                    conjtonodemap.put(dconst.get(0),gn);
-
                }
            }
        }
@@ -192,7 +234,7 @@ public class Termination {
            MultUpdateNode mun=tn.getUpdate();
            for(int i=0;i<mun.numUpdates();i++) {
                UpdateNode un=mun.getUpdate(i);
-               for(int j=0;j<mun.numUpdates();j++) {
+               for(int j=0;j<un.numUpdates();j++) {
                    Updates u=un.getUpdate(j);
                    if (u.getType()==Updates.ABSTRACT) {
                        Expr e=u.getLeftExpr();
@@ -223,16 +265,15 @@ public class Termination {
                    }
                }
            }
-
            /* Cycle through the rules to look for possible conflicts */
            for(int i=0;i<state.vRules.size();i++) {
-               Rule r=(Rule) state.vRules.get(i);  
-               if (ConcreteInterferes.interferes(mun,r,true)) {
+               Rule r=(Rule) state.vRules.get(i);
+               if (concreteinterferes.interferes(mun,r,true)) {
                    GraphNode scopenode=(GraphNode)scopesatisfy.get(r);
                    GraphNode.Edge e=new GraphNode.Edge("interferes",scopenode);
                    gn.addEdge(e);
                }
-               if (ConcreteInterferes.interferes(mun,r,false)) {
+               if (concreteinterferes.interferes(mun,r,false)) {
                    GraphNode scopenode=(GraphNode)scopefalsify.get(r);
                    GraphNode.Edge e=new GraphNode.Edge("interferes",scopenode);
                    gn.addEdge(e);
@@ -246,29 +287,39 @@ public class Termination {
            GraphNode gn=(GraphNode)absiterator.next();
            TermNode tn=(TermNode)gn.getOwner();
            AbstractRepair ar=(AbstractRepair)tn.getAbstract();
-       
+
            for(Iterator conjiterator=conjunctions.iterator();conjiterator.hasNext();) {
                GraphNode gn2=(GraphNode)conjiterator.next();
                TermNode tn2=(TermNode)gn2.getOwner();
                Conjunction conj=tn2.getConjunction();
                Constraint cons=tn2.getConstraint();
-
-               for(int i=0;i<conj.size();i++) {
-                   DNFPredicate dp=conj.get(i);
-                   if (AbstractInterferes.interferes(ar,cons)||
-                       abstractinterferes.interferes(ar,dp)) {
-                       GraphNode.Edge e=new GraphNode.Edge("interferes",gn2);
-                       gn.addEdge(e);
-                       break;
-                   }
-               }
+               /* See if this is a relation wellformedness constraint
+                   that is trivially satisfied. */
+               if (abstractinterferes.checkrelationconstraint(ar, cons))
+                   continue;
+                if (AbstractInterferes.interferesquantifier(ar,cons)) {
+                    GraphNode.Edge e=new GraphNode.Edge("interferes",gn2);
+                    gn.addEdge(e);
+                } else {
+                    for(int i=0;i<conj.size();i++) {
+                        DNFPredicate dp=conj.get(i);
+
+                        if (!abstractinterferes.interfereswithpredicate(ar,dp))
+                            continue;
+                        if (getConstraint(gn)==null||
+                            !abstractinterferes.interferemodifies(ar,getConstraint(gn),dp,cons)) {
+                            GraphNode.Edge e=new GraphNode.Edge("interferes",gn2);
+                            gn.addEdge(e);
+                            break;
+                        }
+                    }
+                }
            }
-
            for(Iterator scopeiterator=scopenodes.iterator();scopeiterator.hasNext();) {
                GraphNode gn2=(GraphNode)scopeiterator.next();
                TermNode tn2=(TermNode)gn2.getOwner();
                ScopeNode sn2=tn2.getScope();
-               if (AbstractInterferes.interferes(ar,sn2.getRule(),sn2.getSatisfy())) {
+               if (AbstractInterferes.interfereswithrule(ar,sn2.getRule(),sn2.getSatisfy())) {
                    GraphNode.Edge e=new GraphNode.Edge("interferes",gn2);
                    gn.addEdge(e);
                }
@@ -276,15 +327,31 @@ public class Termination {
        }
     }
 
+    Constraint getConstraint(GraphNode gn) {
+        for(Iterator it=gn.inedges();it.hasNext();) {
+            GraphNode.Edge e=(GraphNode.Edge)it.next();
+            GraphNode gnsource=e.getSource();
+            TermNode tnsource=(TermNode)gnsource.getOwner();
+            if (tnsource.getType()==TermNode.CONJUNCTION) {
+                return tnsource.getConstraint();
+            }
+        }
+        return null;
+    }
+
     void generatescopenodes() {
        for(int i=0;i<state.vRules.size();i++) {
            Rule r=(Rule) state.vRules.get(i);
            ScopeNode satisfy=new ScopeNode(r,true);
            TermNode tnsatisfy=new TermNode(satisfy);
            GraphNode gnsatisfy=new GraphNode("SatisfyRule"+i,tnsatisfy);
+           gnsatisfy.setOption(scopeoption);
+            if (Compiler.MERGENODES)
+                gnsatisfy.setMerge();
            ConsequenceNode cnsatisfy=new ConsequenceNode();
            TermNode ctnsatisfy=new TermNode(cnsatisfy);
            GraphNode cgnsatisfy=new GraphNode("ConseqSatisfyRule"+i,ctnsatisfy);
+           cgnsatisfy.setOption(conseqoption);
            consequence.put(satisfy,cgnsatisfy);
            GraphNode.Edge esat=new GraphNode.Edge("consequencesatisfy"+i,cgnsatisfy);
            gnsatisfy.addEdge(esat);
@@ -295,9 +362,13 @@ public class Termination {
            ScopeNode falsify=new ScopeNode(r,false);
            TermNode tnfalsify=new TermNode(falsify);
            GraphNode gnfalsify=new GraphNode("FalsifyRule"+i,tnfalsify);
+           gnfalsify.setOption(scopeoption);
+            if (Compiler.MERGENODES)
+                gnfalsify.setMerge();
            ConsequenceNode cnfalsify=new ConsequenceNode();
            TermNode ctnfalsify=new TermNode(cnfalsify);
            GraphNode cgnfalsify=new GraphNode("ConseqFalsifyRule"+i,ctnfalsify);
+           cgnfalsify.setOption(conseqoption);
            consequence.put(falsify,cgnfalsify);
            GraphNode.Edge efals=new GraphNode.Edge("consequencefalsify"+i,cgnfalsify);
            gnfalsify.addEdge(efals);
@@ -306,13 +377,13 @@ public class Termination {
            scopenodes.add(gnfalsify);
        }
     }
-    
+
     void generatescopeedges() {
        for(Iterator scopeiterator=scopenodes.iterator();scopeiterator.hasNext();) {
            GraphNode gn=(GraphNode)scopeiterator.next();
            TermNode tn=(TermNode)gn.getOwner();
            ScopeNode sn=tn.getScope();
-           
+
            /* Interference edges with conjunctions */
            for(Iterator conjiterator=conjunctions.iterator();conjiterator.hasNext();) {
                GraphNode gn2=(GraphNode)conjiterator.next();
@@ -321,8 +392,8 @@ public class Termination {
                Constraint constr=tn2.getConstraint();
                for(int i=0;i<conj.size();i++) {
                    DNFPredicate dp=conj.get(i);
-                   if (abstractinterferes.interferes(sn,dp)||
-                       AbstractInterferes.interferes(sn.getDescriptor(),sn.getSatisfy(),constr)) {
+                   if (abstractinterferes.scopeinterfereswithpredicate(sn,dp)||
+                       AbstractInterferes.interfereswithquantifier(sn.getDescriptor(),sn.getSatisfy(),constr)) {
                        GraphNode.Edge e=new GraphNode.Edge("interferes",gn2);
                        GraphNode gnconseq=(GraphNode)consequence.get(sn);
                        gnconseq.addEdge(e);
@@ -334,13 +405,13 @@ public class Termination {
            /* Now see if this could effect other model defintion rules */
            for(int i=0;i<state.vRules.size();i++) {
                Rule r=(Rule) state.vRules.get(i);
-               if (AbstractInterferes.interferes(sn.getDescriptor(),sn.getSatisfy(),r,true)) {
+               if (AbstractInterferes.interfereswithrule(sn.getDescriptor(),sn.getSatisfy(),r,true)) {
                    GraphNode scopenode=(GraphNode)scopesatisfy.get(r);
                    GraphNode.Edge e=new GraphNode.Edge("interferes",scopenode);
                    GraphNode gnconseq=(GraphNode)consequence.get(sn);
                    gnconseq.addEdge(e);
                }
-               if (AbstractInterferes.interferes(sn.getDescriptor(),sn.getSatisfy(),r,false)) {
+               if (AbstractInterferes.interfereswithrule(sn.getDescriptor(),sn.getSatisfy(),r,false)) {
                    GraphNode scopenode=(GraphNode)scopefalsify.get(r);
                    GraphNode.Edge e=new GraphNode.Edge("interferes",scopenode);
                    GraphNode gnconseq=(GraphNode)consequence.get(sn);
@@ -357,14 +428,41 @@ public class Termination {
            GraphNode gn=(GraphNode)conjiterator.next();
            TermNode tn=(TermNode)gn.getOwner();
            Conjunction conj=tn.getConjunction();
+       loop:
            for(int i=0;i<conj.size();i++) {
                DNFPredicate dp=conj.get(i);
                int[] array=dp.getPredicate().getRepairs(dp.isNegated(),this);
                Descriptor d=dp.getPredicate().getDescriptor();
+               if ((dp.getPredicate() instanceof ExprPredicate)&&
+                   (((ExprPredicate)dp.getPredicate()).getType()==ExprPredicate.SIZE)) {
+                   boolean neg=dp.isNegated();
+                   Opcode op=((ExprPredicate)dp.getPredicate()).getOp();
+                   int size=((ExprPredicate)dp.getPredicate()).rightSize();
+                   op=Opcode.translateOpcode(neg,op);
+                   if (((size==1)&&(op==Opcode.EQ))||
+                       ((size!=1)&&(op==Opcode.NE))||
+                       ((size<=1)&&(op==Opcode.GE))||
+                       ((size<1)&&(op==Opcode.GT))||
+                       ((size>1)&&(op==Opcode.LT))||
+                       ((size>=1)&&(op==Opcode.LE))) {
+                       for(int i2=0;i2<conj.size();i2++) {
+                           DNFPredicate dp2=conj.get(i2);
+                           if ((dp2.getPredicate() instanceof ExprPredicate)&&
+                               (((ExprPredicate)dp2.getPredicate()).getType()==ExprPredicate.COMPARISON)) {
+                               if (equivalent(((SizeofExpr)((OpExpr)((ExprPredicate)dp.getPredicate()).expr).left).setexpr,
+                                              (RelationExpr)((OpExpr)((ExprPredicate)dp2.getPredicate()).expr).left))
+                                   continue loop; // comparison predicate ensure that size expr is true - no need to generate abstract repairs...
+                           }
+                       }
+                   }
+               }
+
                for(int j=0;j<array.length;j++) {
-                   AbstractRepair ar=new AbstractRepair(dp,array[j],d);
+                   AbstractRepair ar=new AbstractRepair(dp,array[j],d,sources);
                    TermNode tn2=new TermNode(ar);
-                   GraphNode gn2=new GraphNode(gn.getLabel()+"A"+i+"B"+ar.type(),gn.getTextLabel()+" #"+i+" "+ar.type(),tn2);
+                   //              GraphNode gn2=new GraphNode(gn.getLabel()+"A"+i+"B"+ar.type(),gn.getTextLabel()+" #"+i+" "+ar.type(),tn2);
+                   GraphNode gn2=new GraphNode(gn.getLabel()+"A"+i+"B"+ar.type(),dp.name()+" "+ar.type(),tn2);
+                   gn2.setOption(absrepoption);
                    GraphNode.Edge e=new GraphNode.Edge("abstract",gn2);
                    gn.addEdge(e);
                    if (!predtoabstractmap.containsKey(dp))
@@ -382,20 +480,22 @@ public class Termination {
            VarExpr ve=new VarExpr("DUMMY");
            InclusionPredicate ip=new InclusionPredicate(ve,new SetExpr(sd));
            DNFPredicate tp=new DNFPredicate(false,ip);
-           AbstractRepair ar=new AbstractRepair(tp, AbstractRepair.ADDTOSET, sd);
+           AbstractRepair ar=new AbstractRepair(tp, AbstractRepair.ADDTOSET, sd,sources);
            TermNode tn=new TermNode(ar);
            GraphNode gn=new GraphNode("AbstractAddSetRule"+i,tn);
+           gn.setOption(absrepoption);
            if (!predtoabstractmap.containsKey(tp))
                predtoabstractmap.put(tp,new HashSet());
            ((Set)predtoabstractmap.get(tp)).add(gn);
            abstractrepair.add(gn);
            abstractrepairadd.add(gn);
            abstractadd.put(sd,gn);
-           
+
            DNFPredicate tp2=new DNFPredicate(true,ip);
-           AbstractRepair ar2=new AbstractRepair(tp2, AbstractRepair.REMOVEFROMSET, sd);
+           AbstractRepair ar2=new AbstractRepair(tp2, AbstractRepair.REMOVEFROMSET, sd,sources);
            TermNode tn2=new TermNode(ar2);
            GraphNode gn2=new GraphNode("AbstractRemSetRule"+i,tn2);
+           gn2.setOption(absrepoption);
            if (!predtoabstractmap.containsKey(tp2))
                predtoabstractmap.put(tp2,new HashSet());
            ((Set)predtoabstractmap.get(tp2)).add(gn2);
@@ -411,22 +511,24 @@ public class Termination {
            VarExpr ve2=new VarExpr("DUMMY2");
 
            InclusionPredicate ip=new InclusionPredicate(ve2,new ImageSetExpr(vd1, rd));
-           
+
            DNFPredicate tp=new DNFPredicate(false,ip);
-           AbstractRepair ar=new AbstractRepair(tp, AbstractRepair.ADDTORELATION, rd);
+           AbstractRepair ar=new AbstractRepair(tp, AbstractRepair.ADDTORELATION, rd,sources);
            TermNode tn=new TermNode(ar);
            GraphNode gn=new GraphNode("AbstractAddRelRule"+i,tn);
+           gn.setOption(absrepoption);
            if (!predtoabstractmap.containsKey(tp))
                predtoabstractmap.put(tp,new HashSet());
            ((Set)predtoabstractmap.get(tp)).add(gn);
            abstractrepair.add(gn);
            abstractrepairadd.add(gn);
            abstractadd.put(rd,gn);
-           
+
            DNFPredicate tp2=new DNFPredicate(true,ip);
-           AbstractRepair ar2=new AbstractRepair(tp2, AbstractRepair.REMOVEFROMRELATION, rd);
+           AbstractRepair ar2=new AbstractRepair(tp2, AbstractRepair.REMOVEFROMRELATION, rd,sources);
            TermNode tn2=new TermNode(ar2);
            GraphNode gn2=new GraphNode("AbstractRemRelRule"+i,tn2);
+           gn2.setOption(absrepoption);
            if (!predtoabstractmap.containsKey(tp2))
                predtoabstractmap.put(tp2,new HashSet());
            ((Set)predtoabstractmap.get(tp2)).add(gn2);
@@ -449,6 +551,7 @@ public class Termination {
                MultUpdateNode mun=new MultUpdateNode(sn);
                TermNode tn2=new TermNode(mun);
                GraphNode gn2=new GraphNode("CompRem"+compensationcount,tn2);
+               gn2.setOption(compoption);
                UpdateNode un=new UpdateNode(r);
 
                if (j<r.numQuantifiers()) {
@@ -486,13 +589,13 @@ public class Termination {
                } else {
                    /* Negate conjunction */
                    int c=j-r.numQuantifiers();
-                   if (!processconjunction(un,r.getDNFNegGuardExpr().get(c))) {
+                   if (!processconjunction(un,r.getDNFNegGuardExpr().get(c),null)) {
                        continue;
                    }
                }
                if (!un.checkupdates()) /* Make sure we have a good update */
                    continue;
-               
+
                mun.addUpdate(un);
                GraphNode.Edge e=new GraphNode.Edge("abstract"+compensationcount,gn2);
                compensationcount++;
@@ -505,6 +608,7 @@ public class Termination {
     void generatedatastructureupdatenodes() {
        for(Iterator absiterator=abstractrepair.iterator();absiterator.hasNext();) {
            GraphNode gn=(GraphNode)absiterator.next();
+           System.out.println("Analysing: "+gn.getTextLabel());
            TermNode tn=(TermNode) gn.getOwner();
            AbstractRepair ar=tn.getAbstract();
            if (ar.getType()==AbstractRepair.ADDTOSET) {
@@ -517,7 +621,8 @@ public class Termination {
                generateremovefromsetrelation(gn,ar);
            } else if (ar.getType()==AbstractRepair.MODIFYRELATION) {
                /* Generate remove/add pairs */
-               generateremovefromsetrelation(gn,ar);
+               if (ar.needsRemoves(state))
+                   generateremovefromsetrelation(gn,ar);
                generateaddtosetrelation(gn,ar);
                /* Generate atomic modify */
                generatemodifyrelation(gn,ar);
@@ -545,13 +650,14 @@ public class Termination {
        }
        if (possiblerules.size()==0)
            return;
-       
+
        /* Loop through different ways of falsifying each of these rules */
        int[] count=new int[possiblerules.size()];
        while(remains(count,possiblerules,true)) {
            MultUpdateNode mun=new MultUpdateNode(ar,MultUpdateNode.REMOVE);
            TermNode tn=new TermNode(mun);
            GraphNode gn2=new GraphNode("UpdateRem"+removefromcount,tn);
+           gn2.setOption(updateoption);
 
            boolean goodflag=true;
            for(int i=0;i<possiblerules.size();i++) {
@@ -590,7 +696,7 @@ public class Termination {
                    } else {goodflag=false;break;}
                } else {
                    int c=count[i]-r.numQuantifiers();
-                   if (!processconjunction(un,r.getDNFNegGuardExpr().get(c))) {
+                   if (!processconjunction(un,r.getDNFNegGuardExpr().get(c),null)) {
                        goodflag=false;break;
                    }
                }
@@ -601,8 +707,7 @@ public class Termination {
                mun.addUpdate(un);
            }
            if (goodflag) {
-               GraphNode.Edge e=new GraphNode.Edge("abstract"+removefromcount,gn2);
-               removefromcount++;
+               GraphNode.Edge e=new GraphNode.Edge("abstract"+(removefromcount++),gn2);
                gn.addEdge(e);
                updatenodes.add(gn2);
            }
@@ -648,7 +753,7 @@ public class Termination {
        int rightindex=1;
        if (inverted)
            leftindex=2;
-       else 
+       else
            rightindex=2;
 
        // construct set of possible rules
@@ -667,47 +772,55 @@ public class Termination {
        while(remains(count,possiblerules,false)) {
            MultUpdateNode mun=new MultUpdateNode(ar,MultUpdateNode.MODIFY);
            TermNode tn=new TermNode(mun);
-           GraphNode gn2=new GraphNode("UpdateMod"+removefromcount,tn);
+           GraphNode gn2=new GraphNode("UpdateMod"+modifycount,tn);
+           gn2.setOption(updateoption);
 
            boolean goodflag=true;
            for(int i=0;i<possiblerules.size();i++) {
                Rule r=(Rule)possiblerules.get(i);
                UpdateNode un=new UpdateNode(r);
-               
+
                int c=count[i];
-               if (!processconjunction(un,r.getDNFGuardExpr().get(c))) {
+               if (!processconjunction(un,r.getDNFGuardExpr().get(c),null)) {
                    goodflag=false;break;
                }
                RelationInclusion ri=(RelationInclusion)r.getInclusion();
                if (!(ri.getLeftExpr() instanceof VarExpr)) {
-                   if (ri.getLeftExpr().isValue()) {
-                       Updates up=new Updates(ri.getLeftExpr(),leftindex);
+                   if (ri.getLeftExpr().isValue(ri.getRelation().getDomain().getType())) {
+                       Updates up=new Updates(ri.getLeftExpr(),leftindex,ri.getRelation().getDomain().getType());
                        un.addUpdate(up);
-                   } else
-                       goodflag=false;
+                   } else {
+                       if (inverted)
+                           goodflag=false;
+                       else un.addInvariant(ri.getLeftExpr());
+                   }
                } else {
                    VarDescriptor vd=((VarExpr)ri.getLeftExpr()).getVar();
                    if (vd.isGlobal()) {
-                       Updates up=new Updates(ri.getLeftExpr(),leftindex);
+                       Updates up=new Updates(ri.getLeftExpr(),leftindex,null);
                        un.addUpdate(up);
                    } else if (inverted)
                        goodflag=false;
                }
                if (!(ri.getRightExpr() instanceof VarExpr)) {
-                   if (ri.getRightExpr().isValue()) {
-                       Updates up=new Updates(ri.getRightExpr(),rightindex);
+                   if (ri.getRightExpr().isValue(ri.getRelation().getRange().getType())) {
+                       Updates up=new Updates(ri.getRightExpr(),rightindex,ri.getRelation().getRange().getType());
                        un.addUpdate(up);
-                   } else
-                       goodflag=false;
+                   } else {
+                       if (!inverted)
+                           goodflag=false;
+                       else
+                           un.addInvariant(ri.getLeftExpr());
+                   }
                } else {
                    VarDescriptor vd=((VarExpr)ri.getRightExpr()).getVar();
                    if (vd.isGlobal()) {
-                       Updates up=new Updates(ri.getRightExpr(),rightindex);
+                       Updates up=new Updates(ri.getRightExpr(),rightindex,null);
                        un.addUpdate(up);
-                   } else if (!inverted) 
+                   } else if (!inverted)
                        goodflag=false;
                }
-                               
+
                if (!un.checkupdates()) {
                    goodflag=false;
                    break;
@@ -731,19 +844,27 @@ public class Termination {
     void generateaddtosetrelation(GraphNode gn, AbstractRepair ar) {
        for(int i=0;i<state.vRules.size();i++) {
            Rule r=(Rule) state.vRules.get(i);
+
+
            /* See if this is a good rule*/
            if ((r.getInclusion() instanceof SetInclusion&&
                 ar.getDescriptor()==((SetInclusion)r.getInclusion()).getSet())||
                (r.getInclusion() instanceof RelationInclusion&&
                 ar.getDescriptor()==((RelationInclusion)r.getInclusion()).getRelation())) {
-               
+
                /* First solve for quantifiers */
                Vector bindings=new Vector();
                /* Construct bindings */
-               if (!constructbindings(bindings,r,false))
+
+               Hashtable setmapping=new Hashtable();
+               System.out.println("Attempting to construct bindings");
+
+               if (!constructbindings(bindings,r,ar,setmapping,false))
                    continue;
+               System.out.println("Bindings constructed");
                //Generate add instruction
                DNFRule dnfrule=r.getDNFGuardExpr();
+                endloop:
                for(int j=0;j<dnfrule.size();j++) {
                    Inclusion inc=r.getInclusion();
                    UpdateNode un=new UpdateNode(r);
@@ -751,97 +872,129 @@ public class Termination {
                    /* Now build update for tuple/set inclusion condition */
                    if(inc instanceof SetInclusion) {
                        SetInclusion si=(SetInclusion)inc;
-                       if (!(si.elementexpr instanceof VarExpr)) {
-                           if (si.elementexpr.isValue()) {
-                               Updates up=new Updates(si.elementexpr,0);
+                       Expr e=si.elementexpr;
+
+                       while(e instanceof CastExpr) {
+                           CastExpr ce=(CastExpr)e;
+                           if (ce.getType()!=si.getSet().getType())
+                               continue endloop;
+                           e=ce.getExpr();
+                       }
+
+                       if (!(e instanceof VarExpr)) {
+                           if (e.isValue(si.getSet().getType())) {
+                               Updates up=new Updates(e,0,si.getSet().getType());
                                un.addUpdate(up);
                            } else {
                                /* We're an add to set*/
-                               System.out.println("Rule: "+r);
-                               ArrayAnalysis.AccessPath rap=arrayanalysis.analyzeExpr(r,si.elementexpr);
-                               System.out.println("Attempting perform array add");
+                               ArrayAnalysis.AccessPath rap=arrayanalysis.analyzeExpr(r,e);
                                SetDescriptor set=sources.setSource(si.getSet())?
                                    sources.getSourceSet(si.getSet()):null;
                                if (set==null)
                                    continue;
-                               System.out.println("Non-null source set");
                                ArrayAnalysis.AccessPath ap=arrayanalysis.getSet(set);
                                if (rap==ArrayAnalysis.AccessPath.NONE)
                                    continue;
-                               System.out.println("A");
                                if (!rap.equal(ap))
                                    continue;
-                               System.out.println("B");
-                               if (!constructarrayupdate(un, si.elementexpr, rap, 0))
+                               if (!constructarrayupdate(un, e, rap, 0))
                                    continue;
-                               System.out.println("C");
                            }
                        } else {
-                           VarDescriptor vd=((VarExpr)si.elementexpr).getVar();
+                           VarDescriptor vd=((VarExpr)e).getVar();
                            if (vd.isGlobal()) {
-                               Updates up=new Updates(si.elementexpr,0);
+                               Updates up=new Updates(e,0,null);
                                un.addUpdate(up);
                            }
                        }
                    } else if (inc instanceof RelationInclusion) {
                        RelationInclusion ri=(RelationInclusion)inc;
-                       if (!(ri.getLeftExpr() instanceof VarExpr)) {
-                           if (ri.getLeftExpr().isValue()) {
-                               Updates up=new Updates(ri.getLeftExpr(),0);
+
+                       Expr e=ri.getLeftExpr();
+
+                       while(e instanceof CastExpr) {
+                           CastExpr ce=(CastExpr)e;
+                           if (ce.getType()!=ri.getRelation().getDomain().getType())
+                               continue endloop;
+                           e=ce.getExpr();
+                       }
+                       if (!(e instanceof VarExpr)) {
+                           if (e.isValue(ri.getRelation().getDomain().getType())) {
+                               Updates up=new Updates(e,0,ri.getRelation().getDomain().getType());
+                               if (ar.getDomainSet()!=null)
+                                   setmapping.put(e,ar.getDomainSet());
                                un.addUpdate(up);
                            } else {
                                /* We don't handly relation modifies */
                                if (ar.getType()==AbstractRepair.MODIFYRELATION)
                                    continue;
                                /* We're an add to relation*/
-                               ArrayAnalysis.AccessPath rap=arrayanalysis.analyzeExpr(r,ri.getLeftExpr());
+                               ArrayAnalysis.AccessPath rap=arrayanalysis.analyzeExpr(r,e);
                                SetDescriptor set=sources.relsetSource(ri.getRelation(),true /* Domain*/)?
                                    sources.relgetSourceSet(ri.getRelation(),true):null;
                                if (set==null)
                                    continue;
                                ArrayAnalysis.AccessPath ap=arrayanalysis.getSet(set);
-                               
                                if (rap==ArrayAnalysis.AccessPath.NONE||
                                    !rap.equal(ap)||
-                                   !constructarrayupdate(un, ri.getLeftExpr(), rap, 0))
+                                   !constructarrayupdate(un, e, rap, 0))
                                    continue;
+                               if (ar.getDomainSet()!=null)
+                                   setmapping.put(e,ar.getDomainSet());
+
                            }
                        } else {
-                           VarDescriptor vd=((VarExpr)ri.getLeftExpr()).getVar();
+                           VarDescriptor vd=((VarExpr)e).getVar();
                            if (vd.isGlobal()) {
-                               Updates up=new Updates(ri.getLeftExpr(),0);
+                               Updates up=new Updates(e,0,null);
+                               if (ar.getDomainSet()!=null)
+                                   setmapping.put(e,ar.getDomainSet());
                                un.addUpdate(up);
                            }
                        }
-                       if (!(ri.getRightExpr() instanceof VarExpr)) {
-                           if (ri.getRightExpr().isValue()) {
-                               Updates up=new Updates(ri.getRightExpr(),1);
+
+                       e=ri.getRightExpr();
+
+                       while(e instanceof CastExpr) {
+                           CastExpr ce=(CastExpr)e;
+                           if (ce.getType()!=ri.getRelation().getRange().getType())
+                               continue endloop;
+                           e=ce.getExpr();
+                       }
+                       if (!(e instanceof VarExpr)) {
+                           if (e.isValue(ri.getRelation().getRange().getType())) {
+                               Updates up=new Updates(e,1,ri.getRelation().getRange().getType());
                                un.addUpdate(up);
                            } else {
                                /* We don't handly relation modifies */
                                if (ar.getType()==AbstractRepair.MODIFYRELATION)
                                    continue;
                                /* We're an add to relation*/
-                               ArrayAnalysis.AccessPath rap=arrayanalysis.analyzeExpr(r,ri.getRightExpr());
+                               ArrayAnalysis.AccessPath rap=arrayanalysis.analyzeExpr(r,e);
                                SetDescriptor set=sources.relsetSource(ri.getRelation(),false /* Range*/)?
                                    sources.relgetSourceSet(ri.getRelation(),false):null;
                                if (set==null)
                                    continue;
                                ArrayAnalysis.AccessPath ap=arrayanalysis.getSet(set);
-                               
+
                                if (rap==ArrayAnalysis.AccessPath.NONE||
                                    !rap.equal(ap)||
-                                   !constructarrayupdate(un, ri.getRightExpr(), rap, 1))
+                                   !constructarrayupdate(un, e, rap, 1))
                                    continue;
+                               if (ar.getRangeSet()!=null)
+                                   setmapping.put(e,ar.getRangeSet());
                            }
                        } else {
-                           VarDescriptor vd=((VarExpr)ri.getRightExpr()).getVar();
+                           VarDescriptor vd=((VarExpr)e).getVar();
                            if (vd.isGlobal()) {
-                               Updates up=new Updates(ri.getRightExpr(),1);
+                               Updates up=new Updates(e,1,null);
+                               if (ar.getRangeSet()!=null)
+                                   setmapping.put(e,ar.getRangeSet());
                                un.addUpdate(up);
                            }
                        }
                    }
+                   System.out.println("Built inclusion condition updates.");
                    //Finally build necessary updates to satisfy conjunction
                    RuleConjunction ruleconj=dnfrule.get(j);
 
@@ -849,10 +1002,15 @@ public class Termination {
                    MultUpdateNode mun=new MultUpdateNode(ar,MultUpdateNode.ADD);
                    TermNode tn=new TermNode(mun);
                    GraphNode gn2=new GraphNode("UpdateAdd"+addtocount,tn);
-
-                   if (processquantifiers(gn2,un, r)&&
-                       processconjunction(un,ruleconj)&&
-                       un.checkupdates()) {
+                   gn2.setOption(updateoption);
+
+                   if (debugmsg("Start processing quantifiers")&&
+                       processquantifiers(gn2,un, r,setmapping)&&
+                       debugmsg("Finished processing quantifiers")&&
+                       processconjunction(un,ruleconj,setmapping)&&
+                       debugmsg("Finished processing conjunction")&&
+                       un.checkupdates()&&
+                       debugmsg("Updates checked")) {
                        mun.addUpdate(un);
                        GraphNode.Edge e=new GraphNode.Edge("abstract"+addtocount,gn2);
                        addtocount++;
@@ -864,13 +1022,18 @@ public class Termination {
        }
     }
 
+    boolean debugmsg(String st) {
+       System.out.println(st);
+       return true;
+    }
+
     boolean constructarrayupdate(UpdateNode un, Expr lexpr, ArrayAnalysis.AccessPath ap, int slotnumber) {
        System.out.println("Constructing array update");
        Expr e=null;
        for (int i=ap.numFields()-1;i>=0;i--) {
            if (e==null)
                e=lexpr;
-           else 
+           else
                e=((DotExpr)e).getExpr();
 
            while (e instanceof CastExpr)
@@ -881,11 +1044,11 @@ public class Termination {
            if (fd instanceof ArrayDescriptor) {
                // We have an ArrayDescriptor!
                Expr index=de.getIndex();
-               if (!index.isValue()) {/* Not assignable */
-                   System.out.println("ERROR:Index is assignable");
+               if (!index.isValue(null)) {/* Not assignable */
+                   System.out.println("ERROR:Index isn't assignable");
                    return false;
                }
-               Updates updates=new Updates(index,i,ap,slotnumber);
+               Updates updates=new Updates(index,i,ap,lexpr,slotnumber);
                un.addUpdate(updates);
            }
        }
@@ -897,9 +1060,10 @@ public class Termination {
      * performs a removal.  The function returns true if it is able to
      * generate a valid set of bindings and false otherwise. */
 
-    boolean constructbindings(Vector bindings, Rule r, boolean isremoval) {
+    boolean constructbindings(Vector bindings, Rule r, AbstractRepair ar, Hashtable setmapping, boolean isremoval) {
        boolean goodupdate=true;
        Inclusion inc=r.getInclusion();
+
        for(Iterator iterator=r.quantifiers();iterator.hasNext();) {
            Quantifier q=(Quantifier)iterator.next();
            if ((q instanceof SetQuantifier)||(q instanceof ForQuantifier)) {
@@ -913,9 +1077,21 @@ public class Termination {
                }
                if(inc instanceof SetInclusion) {
                    SetInclusion si=(SetInclusion)inc;
-                   if ((si.elementexpr instanceof VarExpr)&&
-                       (((VarExpr)si.elementexpr).getVar()==vd)) {
+                   Expr tmpe=si.elementexpr;
+                   Expr e=si.elementexpr;
+
+                   while(e instanceof CastExpr) {
+                       CastExpr ce=(CastExpr)e;
+                       if (ce.getType()!=si.getSet().getType())
+                           return false;
+                       e=ce.getExpr();
+                   }
+
+                   if ((e instanceof VarExpr)&&
+                       (((VarExpr)e).getVar()==vd)) {
                        /* Can solve for v */
+                       if (set==null||!si.getSet().getType().isSubtypeOf(set.getType()))
+                           return false;
                        Binding binding=new Binding(vd,0);
                        bindings.add(binding);
                    } else {
@@ -925,16 +1101,45 @@ public class Termination {
                    RelationInclusion ri=(RelationInclusion)inc;
                    boolean f1=true;
                    boolean f2=true;
-                   if ((ri.getLeftExpr() instanceof VarExpr)&&
-                       (((VarExpr)ri.getLeftExpr()).getVar()==vd)) {
+
+                   Expr e=ri.getLeftExpr();
+
+                   while(e instanceof CastExpr) {
+                       CastExpr ce=(CastExpr)e;
+                       if (ce.getType()!=ri.getRelation().getDomain().getType())
+                           return false;
+                       e=ce.getExpr();
+                   }
+
+                   if ((e instanceof VarExpr)&&
+                       (((VarExpr)e).getVar()==vd)) {
                                /* Can solve for v */
                        Binding binding=new Binding(vd,0);
+                       if (!ri.getRelation().getDomain().getType().isSubtypeOf(set.getType()))
+                           return false;
+                       if (ar.getDomainSet()!=null)
+                           setmapping.put(ri.getLeftExpr(),ar.getDomainSet());
                        bindings.add(binding);
                    } else f1=false;
-                   if ((ri.getRightExpr() instanceof VarExpr)&&
-                       (((VarExpr)ri.getRightExpr()).getVar()==vd)) {
+
+
+                   e=ri.getRightExpr();
+
+                   while(e instanceof CastExpr) {
+                       CastExpr ce=(CastExpr)e;
+                       if (ce.getType()!=ri.getRelation().getRange().getType())
+                           return false;
+                       e=ce.getExpr();
+                   }
+
+                   if ((e instanceof VarExpr)&&
+                       (((VarExpr)e).getVar()==vd)) {
                                /* Can solve for v */
-                       Binding binding=new Binding(vd,0);
+                       Binding binding=new Binding(vd,1);
+                       if (!ri.getRelation().getRange().getType().isSubtypeOf(set.getType()))
+                           return false;
+                       if (ar.getRangeSet()!=null)
+                           setmapping.put(ri.getRightExpr(),ar.getRangeSet());
                        bindings.add(binding);
                    } else f2=false;
                    if (!(f1||f2))
@@ -959,12 +1164,26 @@ public class Termination {
                RelationQuantifier rq=(RelationQuantifier)q;
                for(int k=0;k<2;k++) {
                    VarDescriptor vd=(k==0)?rq.x:rq.y;
+                   TypeDescriptor td=(k==0)?rq.getRelation().getDomain().getType():rq.getRelation().getRange().getType();
                    if(inc instanceof SetInclusion) {
                        SetInclusion si=(SetInclusion)inc;
-                       if ((si.elementexpr instanceof VarExpr)&&
-                           (((VarExpr)si.elementexpr).getVar()==vd)) {
+
+                       Expr e=si.elementexpr;
+
+                       while(e instanceof CastExpr) {
+                           CastExpr ce=(CastExpr)e;
+                           if (ce.getType()!=td)
+                               return false;
+                           e=ce.getExpr();
+                       }
+
+                       if ((e instanceof VarExpr)&&
+                           (((VarExpr)e).getVar()==vd)) {
                            /* Can solve for v */
                            Binding binding=new Binding(vd,0);
+
+                           if (!si.getSet().getType().isSubtypeOf(td))
+                               return false;
                            bindings.add(binding);
                        } else
                            goodupdate=false;
@@ -972,16 +1191,44 @@ public class Termination {
                        RelationInclusion ri=(RelationInclusion)inc;
                        boolean f1=true;
                        boolean f2=true;
+
+
+                       Expr e=ri.getLeftExpr();
+
+                       while(e instanceof CastExpr) {
+                           CastExpr ce=(CastExpr)e;
+                           if (ce.getType()!=ri.getRelation().getDomain().getType())
+                               return false;
+                           e=ce.getExpr();
+                       }
                        if ((ri.getLeftExpr() instanceof VarExpr)&&
                            (((VarExpr)ri.getLeftExpr()).getVar()==vd)) {
                            /* Can solve for v */
                            Binding binding=new Binding(vd,0);
+                           if (!ri.getRelation().getDomain().getType().isSubtypeOf(td))
+                               return false;
+                           if (ar.getDomainSet()!=null)
+                               setmapping.put(ri.getLeftExpr(),ar.getDomainSet());
                            bindings.add(binding);
                        } else f1=false;
+
+
+                       e=ri.getRightExpr();
+
+                       while(e instanceof CastExpr) {
+                           CastExpr ce=(CastExpr)e;
+                           if (ce.getType()!=ri.getRelation().getRange().getType())
+                               return false;
+                           e=ce.getExpr();
+                       }
                        if ((ri.getRightExpr() instanceof VarExpr)&&
                            (((VarExpr)ri.getRightExpr()).getVar()==vd)) {
                            /* Can solve for v */
-                           Binding binding=new Binding(vd,0);
+                           Binding binding=new Binding(vd,1);
+                           if (!ri.getRelation().getRange().getType().isSubtypeOf(td))
+                               return false;
+                           if (ar.getRangeSet()!=null)
+                               setmapping.put(ri.getRightExpr(),ar.getRangeSet());
                            bindings.add(binding);
                        } else f2=false;
                        if (!(f1||f2))
@@ -1002,16 +1249,15 @@ public class Termination {
        }
        return goodupdate;
     }
-    
+
     /** Adds updates that add an item to the appropriate set or
      * relation quantified over by the model definition rule.. */
-    
-    boolean processquantifiers(GraphNode gn,UpdateNode un, Rule r) {
+
+    boolean processquantifiers(GraphNode gn,UpdateNode un, Rule r,Hashtable setmapping) {
        Inclusion inc=r.getInclusion();
        for(Iterator iterator=r.quantifiers();iterator.hasNext();) {
            Quantifier q=(Quantifier)iterator.next();
            /* Add quantifier */
-           /* FIXME: Analysis to determine when this update is necessary */
            if (q instanceof RelationQuantifier) {
                RelationQuantifier rq=(RelationQuantifier)q;
                TupleOfExpr toe=new TupleOfExpr(new VarExpr(rq.x),new VarExpr(rq.y),rq.relation);
@@ -1025,7 +1271,6 @@ public class Termination {
                } else {
                    return false;
                }
-               
            } else if (q instanceof SetQuantifier) {
                SetQuantifier sq=(SetQuantifier)q;
                if (un.getBinding(sq.var).getType()==Binding.SEARCH) {
@@ -1034,8 +1279,12 @@ public class Termination {
                    constraintdependence.requiresConstraint(gn,reqc);
                    continue; /* Don't need to ensure addition for search */
                }
+               VarExpr ve=new VarExpr(sq.var);
+               SetDescriptor sd=findExpr(setmapping, ve);
+               if (sd!=null&&sd.isSubset(sq.set))
+                   continue; /* this update is trivially true */
 
-               ElementOfExpr eoe=new ElementOfExpr(new VarExpr(sq.var),sq.set);
+               ElementOfExpr eoe=new ElementOfExpr(ve,sq.set);
                eoe.td=ReservedTypeDescriptor.INT;
                Updates u=new Updates(eoe,false);
                un.addUpdate(u);
@@ -1051,10 +1300,23 @@ public class Termination {
        return true;
     }
 
+    static SetDescriptor findExpr(Hashtable setmapping, Expr e) {
+       if (setmapping==null)
+           return null;
+       Set kset=setmapping.keySet();
+       for(Iterator it=kset.iterator();it.hasNext();) {
+           Expr expr=(Expr)it.next();
+           if (expr.equals(null,e)) {
+               return (SetDescriptor)setmapping.get(expr);
+           }
+       }
+       return null;
+    }
+
     /** This method generates the necessary updates to satisfy the
      * conjunction ruleconj. */
 
-    boolean  processconjunction(UpdateNode un,RuleConjunction ruleconj){
+    boolean  processconjunction(UpdateNode un,RuleConjunction ruleconj,Hashtable setmapping) {
        boolean okay=true;
        for(int k=0;k<ruleconj.size();k++) {
            DNFExpr de=ruleconj.get(k);
@@ -1065,12 +1327,15 @@ public class Termination {
                Updates up=new Updates(ex.left,ex.right,op, de.getNegation());
                un.addUpdate(up);
            } else if (e instanceof ElementOfExpr) {
+               SetDescriptor sd=findExpr(setmapping, ((ElementOfExpr)e).element);
+               if (sd!=null&&sd.isSubset(((ElementOfExpr)e).set))
+                   continue; /* this update is trivially true */
                Updates up=new Updates(e,de.getNegation());
                un.addUpdate(up);
            } else if (e instanceof TupleOfExpr) {
                Updates up=new Updates(e,de.getNegation());
                un.addUpdate(up);
-           } else if (e instanceof BooleanLiteralExpr) { 
+           } else if (e instanceof BooleanLiteralExpr) {
                boolean truth=((BooleanLiteralExpr)e).getValue();
                if (de.getNegation())
                    truth=!truth;
@@ -1085,4 +1350,91 @@ public class Termination {
        }
        return okay;
     }
+
+    /** This method sees if when the quantifiers listed in set are
+     *  fixed, whether there can be more than one unique binding for
+     *  the constraint or model definition rule qs.*/
+    public boolean analyzeQuantifiers(Quantifiers qs,Set set) {
+       for(int i=0;i<qs.numQuantifiers();i++) {
+           Quantifier q=qs.getQuantifier(i);
+           if (set.contains(q))
+               continue;
+           if (q instanceof SetQuantifier) {
+               SetDescriptor sd=((SetQuantifier)q).getSet();
+               if (maxsize.getsize(sd)<=1&&
+                   maxsize.getsize(sd)>=0)
+                   continue;
+           } else if (q instanceof RelationQuantifier) {
+               RelationDescriptor rd=((RelationQuantifier)q).getRelation();
+               if (maxsize.getsize(rd)<=1&&
+                   maxsize.getsize(rd)>=0)
+                   continue;
+           }
+           return false;
+       }
+       return true;
+    }
+
+    public boolean mutuallyexclusive(SetDescriptor sd1, SetDescriptor sd2) {
+       if (mutualexclusive(sd1,sd2)||
+           mutualexclusive(sd2,sd1))
+           return true;
+       else
+           return false;
+    }
+
+    private boolean mutualexclusive(SetDescriptor sd1, SetDescriptor sd2) {
+       Vector rules=state.vRules;
+       for(int i=0;i<rules.size();i++) {
+           Rule r=(Rule)rules.get(i);
+           if (r.getInclusion().getTargetDescriptors().contains(sd1)) {
+               /* Rule may add items to sd1 */
+               SetInclusion si=(SetInclusion)r.getInclusion();
+               Expr ve=si.getExpr();
+               DNFRule drule=r.getDNFGuardExpr();
+               for(int j=0;j<drule.size();j++) {
+                   RuleConjunction rconj=drule.get(j);
+                   boolean containsexclusion=false;
+                   for (int k=0;k<rconj.size();k++) {
+                       DNFExpr dexpr=rconj.get(k);
+                       if (dexpr.getNegation()&&
+                           dexpr.getExpr() instanceof ElementOfExpr&&
+                           ((ElementOfExpr)dexpr.getExpr()).element.equals(null,ve)) {
+                           SetDescriptor sd=((ElementOfExpr)dexpr.getExpr()).set;
+                           if (sd.isSubset(sd2))
+                               containsexclusion=true;
+                       }
+                   }
+                   if (!containsexclusion)
+                       return false;
+               }
+           }
+       }
+       return true;
+    }
+
+    boolean equivalent(SetExpr se, RelationExpr re) {
+       if (!(se instanceof ImageSetExpr))
+           return false;
+       ImageSetExpr ise=(ImageSetExpr)se;
+       while(re!=null&&ise!=null) {
+           if (re.getRelation()!=ise.getRelation())
+               return false;
+           if (re.inverted()!=ise.inverted())
+               return false;
+           if (ise.isimageset) {
+               ise=ise.getImageSetExpr();
+               if (!(re.getExpr() instanceof RelationExpr))
+                   return false;
+               re=(RelationExpr)re.getExpr();
+           } else {
+               if (!(re.getExpr() instanceof VarExpr))
+                   return false;
+               if (((VarExpr)re.getExpr()).getVar()==ise.getVar())
+                   return true; //everything matches
+               return false;
+           }
+       }
+       return false;
+    }
 }