Deriving CEX after phase/tempor/reparam.

src/aig/gia/gia.h

@@ -855,7 +855,7 @@ extern void                Gia_ManSetIfParsDefault( void * pIfPars );
 extern Gia_Man_t *         Gia_ManPerformMapping( Gia_Man_t * p, void * pIfPars );
 /*=== giaIso.c ===========================================================*/
 extern Gia_Man_t *         Gia_ManIsoCanonicize( Gia_Man_t * p, int fVerbose );
-extern Gia_Man_t *         Gia_ManIsoReduce( Gia_Man_t * p, Vec_Ptr_t ** pvPosEquivs, int fDualOut, int fVerbose );
+extern Gia_Man_t *         Gia_ManIsoReduce( Gia_Man_t * p, Vec_Ptr_t ** pvPosEquivs, Vec_Ptr_t ** pvPiPerms, int fDualOut, int fVerbose );
 /*=== giaLogic.c ===========================================================*/
 extern void                Gia_ManTestDistance( Gia_Man_t * p );
 extern void                Gia_ManSolveProblem( Gia_Man_t * pGia, Emb_Par_t * pPars );

src/aig/gia/giaIso.c

@@ -876,7 +876,7 @@ void Gia_ManFindCaninicalOrder_rec( Gia_Man_t * p, Gia_Obj_t * pObj, Vec_Int_t *
     }
     Vec_IntPush( vAnds, Gia_ObjId(p, pObj) );
 }
-void Gia_ManFindCaninicalOrder( Gia_Man_t * p, Vec_Int_t * vCis, Vec_Int_t * vAnds, Vec_Int_t * vCos )
+void Gia_ManFindCaninicalOrder( Gia_Man_t * p, Vec_Int_t * vCis, Vec_Int_t * vAnds, Vec_Int_t * vCos, Vec_Int_t ** pvPiPerm )
 {
     Vec_Ptr_t * vTemp;
     Gia_Obj_t * pObj;
@@ -895,6 +895,10 @@ void Gia_ManFindCaninicalOrder( Gia_Man_t * p, Vec_Int_t * vCis, Vec_Int_t * vAn
     // create the result
     Vec_PtrForEachEntry( Gia_Obj_t *, vTemp, pObj, i )
         Vec_IntPush( vCis, Gia_ObjId(p, pObj) );
+    // remember PI permutation
+    if ( pvPiPerm ) 
+        Vec_PtrForEachEntry( Gia_Obj_t *, vTemp, pObj, i )
+            Vec_IntPush( *pvPiPerm, Gia_ObjCioId(pObj) );
 
     // assign unique IDs to POs
     if ( Gia_ManPoNum(p) == 1 )
@@ -999,7 +1003,7 @@ Gia_Man_t * Gia_ManIsoCanonicize( Gia_Man_t * p, int fVerbose )
     vCis  = Vec_IntAlloc( Gia_ManCiNum(p) );
     vAnds = Vec_IntAlloc( Gia_ManAndNum(p) );
     vCos  = Vec_IntAlloc( Gia_ManCoNum(p) );
-    Gia_ManFindCaninicalOrder( p, vCis, vAnds, vCos );
+    Gia_ManFindCaninicalOrder( p, vCis, vAnds, vCos, NULL );
     // derive the new AIG
     vResult = Gia_ManDupFromVecs( p, vCis, vAnds, vCos, Gia_ManRegNum(p) );
     // cleanup
@@ -1020,7 +1024,7 @@ Gia_Man_t * Gia_ManIsoCanonicize( Gia_Man_t * p, int fVerbose )
   SeeAlso     []
 
 ***********************************************************************/
-Vec_Str_t * Gia_ManIsoFindString( Gia_Man_t * p, int iPo, int fVerbose )
+Vec_Str_t * Gia_ManIsoFindString( Gia_Man_t * p, int iPo, int fVerbose, Vec_Int_t ** pvPiPerm )
 {
     Gia_Man_t * pPart;
     Vec_Ptr_t * vEquiv;
@@ -1044,7 +1048,7 @@ Vec_Str_t * Gia_ManIsoFindString( Gia_Man_t * p, int iPo, int fVerbose )
     vCis  = Vec_IntAlloc( Gia_ManCiNum(pPart) );
     vAnds = Vec_IntAlloc( Gia_ManAndNum(pPart) );
     vCos  = Vec_IntAlloc( Gia_ManCoNum(pPart) );
-    Gia_ManFindCaninicalOrder( pPart, vCis, vAnds, vCos );
+    Gia_ManFindCaninicalOrder( pPart, vCis, vAnds, vCos, pvPiPerm );
     // derive the AIGER string
     vStr = Gia_WriteAigerIntoMemoryStrPart( pPart, vCis, vAnds, vCos, Gia_ManRegNum(pPart) );
     // cleanup
@@ -1066,17 +1070,19 @@ Vec_Str_t * Gia_ManIsoFindString( Gia_Man_t * p, int iPo, int fVerbose )
   SeeAlso     []
 
 ***********************************************************************/
-Gia_Man_t * Gia_ManIsoReduce( Gia_Man_t * pInit, Vec_Ptr_t ** pvPosEquivs, int fDualOut, int fVerbose )
+Gia_Man_t * Gia_ManIsoReduce( Gia_Man_t * pInit, Vec_Ptr_t ** pvPosEquivs, Vec_Ptr_t ** pvPiPerms, int fDualOut, int fVerbose )
 { 
     int fVeryVerbose = 0;
     Gia_Man_t * p, * pPart;
     Vec_Ptr_t * vEquivs, * vEquivs2, * vStrings;
     Vec_Int_t * vRemain, * vLevel, * vLevel2;
     Vec_Str_t * vStr, * vStr2;
-    int i, k, s, sStart, Entry, Counter;
+    int i, k, s, sStart, iPo, Counter;
     clock_t clk = clock();
     if ( pvPosEquivs )
         *pvPosEquivs = NULL;
+    if ( pvPiPerms )
+        *pvPiPerms = Vec_PtrStart( Gia_ManPoNum(pInit) );
 
     if ( fDualOut )
     {
@@ -1120,11 +1126,12 @@ Gia_Man_t * Gia_ManIsoReduce( Gia_Man_t * pInit, Vec_Ptr_t ** pvPosEquivs, int f
         }
         sStart = Vec_PtrSize( vEquivs2 ); 
         vStrings = Vec_PtrAlloc( 100 );
-        Vec_IntForEachEntry( vLevel, Entry, k )
+        Vec_IntForEachEntry( vLevel, iPo, k )
         {
             if ( ++Counter % 100 == 0 )
                 printf( "%6d finished...\r", Counter );
-            vStr = Gia_ManIsoFindString( p, Entry, 0 );
+            assert( pvPiPerms == NULL || Vec_PtrArray(*pvPiPerms)[iPo] == NULL );
+            vStr = Gia_ManIsoFindString( p, iPo, 0, pvPiPerms ? (Vec_Int_t **)Vec_PtrArray(*pvPiPerms) + iPo : NULL );
             // check if this string already exists
             Vec_PtrForEachEntry( Vec_Str_t *, vStrings, vStr2, s )
                 if ( Vec_StrCompareVec(vStr, vStr2) == 0 )
@@ -1138,7 +1145,7 @@ Gia_Man_t * Gia_ManIsoReduce( Gia_Man_t * pInit, Vec_Ptr_t ** pvPosEquivs, int f
                 Vec_StrFree( vStr );
             // add this entry to the corresponding level
             vLevel2 = (Vec_Int_t *)Vec_PtrEntry( vEquivs2, sStart + s );
-            Vec_IntPush( vLevel2, Entry );
+            Vec_IntPush( vLevel2, iPo );
         }
         Vec_VecFree( (Vec_Vec_t *)vStrings );
     }

src/base/abci/abc.c

@@ -17888,11 +17888,11 @@ usage:
 int Abc_CommandDarPhase( Abc_Frame_t * pAbc, int argc, char ** argv )
 {
     Abc_Ntk_t * pNtk, * pNtkRes;
-    int c;
     int nFrames, nPref;
     int fIgnore;
     int fPrint;
-    int fVerbose;
+    int fUpdateCex;
+    int c, fVerbose;
     extern Abc_Ntk_t * Abc_NtkPhaseAbstract( Abc_Ntk_t * pNtk, int nFrames, int nPref, int fIgnore, int fPrint, int fVerbose );
 
     pNtk = Abc_FrameReadNtk(pAbc);
@@ -17901,9 +17901,10 @@ int Abc_CommandDarPhase( Abc_Frame_t * pAbc, int argc, char ** argv )
     nPref       = 0;
     fIgnore     = 0;
     fPrint      = 0;
+    fUpdateCex  = 0;
     fVerbose    = 0;
     Extra_UtilGetoptReset();
-    while ( ( c = Extra_UtilGetopt( argc, argv, "FPipvh" ) ) != EOF )
+    while ( ( c = Extra_UtilGetopt( argc, argv, "FPipcvh" ) ) != EOF )
     {
         switch ( c )
         {
@@ -17935,6 +17936,9 @@ int Abc_CommandDarPhase( Abc_Frame_t * pAbc, int argc, char ** argv )
         case 'p':
             fPrint ^= 1;
             break;
+        case 'c':
+            fUpdateCex ^= 1;
+            break;
         case 'v':
             fVerbose ^= 1;
             break;
@@ -17954,6 +17958,24 @@ int Abc_CommandDarPhase( Abc_Frame_t * pAbc, int argc, char ** argv )
         Abc_Print( -1, "Only works for structrally hashed networks.\n" );
         return 1;
     }
+    if ( fUpdateCex )
+    {
+        Abc_Cex_t * pCexNew;
+        if ( pAbc->pCex == NULL )
+        {
+            Abc_Print( -1, "Counter-example is not available.\n" );
+            return 1;
+        }
+        if ( pAbc->pCex->nPis % Abc_NtkPiNum(pNtk) != 0 )
+        {
+            Abc_Print( -1, "PI count of the CEX is not a multiple of PI count of the current AIG.\n" );
+            return 1;
+        }
+        pCexNew = Abc_CexTransformPhase( pAbc->pCex, Abc_NtkPiNum(pNtk), Abc_NtkPoNum(pNtk), Abc_NtkLatchNum(pNtk) );
+        Abc_CexFree( pAbc->pCex );
+        pAbc->pCex = pCexNew;
+        return 0;
+    }
     if ( !Abc_NtkLatchNum(pNtk) )
     {
         Abc_Print( -1, "The network is combinational.\n" );
@@ -17976,13 +17998,15 @@ int Abc_CommandDarPhase( Abc_Frame_t * pAbc, int argc, char ** argv )
     return 0;
 
 usage:
-    Abc_Print( -2, "usage: phase [-FP <num>] [-ipvh]\n" );
+    Abc_Print( -2, "usage: phase [-FP <num>] [-ipcvh]\n" );
     Abc_Print( -2, "\t         performs sequential cleanup of the current network\n" );
     Abc_Print( -2, "\t         by removing nodes and latches that do not feed into POs\n" );
     Abc_Print( -2, "\t-F num : the number of frames to abstract [default = %d]\n", nFrames );
     Abc_Print( -2, "\t-P num : the number of prefix frames to skip [default = %d]\n", nPref );
     Abc_Print( -2, "\t-i     : toggle ignoring the initial state [default = %s]\n", fIgnore? "yes": "no" );
     Abc_Print( -2, "\t-p     : toggle printing statistics about generators [default = %s]\n", fPrint? "yes": "no" );
+    Abc_Print( -2, "\t-c     : update the current CEX derived for a new AIG after \"phase\"\n" );
+    Abc_Print( -2, "\t         to match the current AIG (the one before \"phase\") [default = %s]\n", fUpdateCex? "yes": "no" );
     Abc_Print( -2, "\t-v     : toggle verbose output [default = %s]\n", fVerbose? "yes": "no" );
     Abc_Print( -2, "\t-h     : print the command usage\n");
     return 1;
@@ -21431,11 +21455,12 @@ int Abc_CommandTempor( Abc_Frame_t * pAbc, int argc, char ** argv )
     int nConfMax      =  100000;
     int fUseBmc       =       1;
     int fUseTransSigs =       0;
+    int fUpdateCex    =       0;
     int fVerbose      =       0;
     int fVeryVerbose  =       0;
     int c;
     Extra_UtilGetoptReset();
-    while ( ( c = Extra_UtilGetopt( argc, argv, "FTCbsvwh" ) ) != EOF )
+    while ( ( c = Extra_UtilGetopt( argc, argv, "FTCbscvwh" ) ) != EOF )
     {
         switch ( c )
         {
@@ -21478,6 +21503,9 @@ int Abc_CommandTempor( Abc_Frame_t * pAbc, int argc, char ** argv )
         case 's':
             fUseTransSigs ^= 1;
             break;
+        case 'c':
+            fUpdateCex ^= 1;
+            break;
         case 'v':
             fVerbose ^= 1;
             break;
@@ -21494,14 +21522,32 @@ int Abc_CommandTempor( Abc_Frame_t * pAbc, int argc, char ** argv )
         Abc_Print( -2, "There is no current network.\n");
         return 0;
     }
+    if ( !Abc_NtkIsStrash(pNtk) )
+    {
+        Abc_Print( -2, "The current network is not an AIG (run \"strash\").\n");
+        return 0;
+    }
     if ( Abc_NtkLatchNum(pNtk) == 0 )
     {
         Abc_Print( -2, "The current network is combinational.\n");
         return 0;
     }
-    if ( !Abc_NtkIsStrash(pNtk) )
+    if ( fUpdateCex )
     {
-        Abc_Print( -2, "The current network is not an AIG (run \"strash\").\n");
+        Abc_Cex_t * pCexNew;
+        if ( pAbc->pCex == NULL )
+        {
+            Abc_Print( -1, "Counter-example is not available.\n" );
+            return 1;
+        }
+        if ( pAbc->pCex->nPis % Abc_NtkPiNum(pNtk) != 0 )
+        {
+            Abc_Print( -1, "PI count of the CEX is not a multiple of PI count of the current AIG.\n" );
+            return 1;
+        }
+        pCexNew = Abc_CexTransformTempor( pAbc->pCex, Abc_NtkPiNum(pNtk), Abc_NtkPoNum(pNtk), Abc_NtkLatchNum(pNtk) );
+        Abc_CexFree( pAbc->pCex );
+        pAbc->pCex = pCexNew;
         return 0;
     }
     // modify the current network
@@ -21516,13 +21562,15 @@ int Abc_CommandTempor( Abc_Frame_t * pAbc, int argc, char ** argv )
     return 0;
 
 usage:
-    Abc_Print( -2, "usage: tempor [-FTC <num>] [-bsvwh]\n" );
+    Abc_Print( -2, "usage: tempor [-FTC <num>] [-bscvwh]\n" );
     Abc_Print( -2, "\t           performs temporal decomposition\n" );
     Abc_Print( -2, "\t-F <num> : init logic timeframe count (0 = use leading length) [default = %d]\n", nFrames );
     Abc_Print( -2, "\t-T <num> : runtime limit in seconds for BMC (0=unused) [default = %d]\n", TimeOut );
     Abc_Print( -2, "\t-C <num> : max number of SAT conflicts in BMC (0=unused) [default = %d]\n", nConfMax );
     Abc_Print( -2, "\t-b       : toggle running BMC2 on the init frames [default = %s]\n", fUseBmc? "yes": "no" );
     Abc_Print( -2, "\t-s       : toggle using transient signals [default = %s]\n", fUseTransSigs? "yes": "no" );
+    Abc_Print( -2, "\t-c       : update the current CEX derived for a new AIG after \"tempor\"\n" );
+    Abc_Print( -2, "\t           to match the current AIG (the one before \"tempor\") [default = %s]\n", fUpdateCex? "yes": "no" );
     Abc_Print( -2, "\t-v       : toggle printing verbose output [default = %s]\n", fVerbose? "yes": "no" );
     Abc_Print( -2, "\t-w       : toggle printing ternary state space [default = %s]\n", fVeryVerbose? "yes": "no" );
     Abc_Print( -2, "\t-h       : print the command usage\n");
@@ -22459,7 +22507,8 @@ int Abc_CommandReconcile( Abc_Frame_t * pAbc, int argc, char ** argv )
             goto usage;
         }
     }
-    if ( argc != globalUtilOptind + 2 )
+
+    if ( argc != globalUtilOptind + 2 && argc != globalUtilOptind )
     {
         Abc_Print( 1,"Does not seen to have two files names as arguments.\n" );
         return 1;
@@ -22470,6 +22519,8 @@ int Abc_CommandReconcile( Abc_Frame_t * pAbc, int argc, char ** argv )
         return 1;
     }
 
+    if ( argc == globalUtilOptind + 2 )
+    {
         // derive networks
         pNtk1 = Io_Read( argv[globalUtilOptind], Io_ReadFileType(argv[globalUtilOptind]), 1 );
         if ( pNtk1 == NULL )
@@ -22483,6 +22534,24 @@ int Abc_CommandReconcile( Abc_Frame_t * pAbc, int argc, char ** argv )
         // create counter-examples
         pAig1 = Abc_NtkToDar( pNtk1, 0, 0 );
         pAig2 = Abc_NtkToDar( pNtk2, 0, 0 );
+    }
+    else if ( argc == globalUtilOptind )
+    {
+        if ( pAbc->pNtkCur == NULL )
+        {
+            Abc_Print( 1, "There is no AIG in the main-space.\n");
+            return 0;
+        }
+        if ( pAbc->pGia == NULL )
+        {
+            Abc_Print( 1, "There is no AIG in the &-space.\n");
+            return 0;
+        }
+        // create counter-examples
+        pAig1 = Abc_NtkToDar( pAbc->pNtkCur, 0, 0 );
+        pAig2 = Gia_ManToAigSimple( pAbc->pGia );
+    }
+    else assert( 0 );
     pCex = Llb4_Nonlin4NormalizeCex( pAig1, pAig2, pAbc->pCex );
     Aig_ManStop( pAig1 );
     Aig_ManStop( pAig2 );
@@ -22512,6 +22581,8 @@ usage:
     Abc_Print( -2, "\t        and <fileOrigin> to be current CEX and current network\n" );
     Abc_Print( -2, "\t<fileOrigin>   : file name with the original AIG\n");
     Abc_Print( -2, "\t<fileReparam>  : file name with the reparametrized AIG\n");
+    Abc_Print( -2, "\t        (if both file names are not given on the command line,\n");
+    Abc_Print( -2, "\t        original/reparam AIG has to be in the main-space/&-space)\n");
     Abc_Print( -2, "\t-h    : print the command usage\n");
     return 1;
 }
@@ -28911,7 +28982,7 @@ int Abc_CommandAbc9Iso( Abc_Frame_t * pAbc, int argc, char ** argv )
         Abc_Print( -1, "Abc_CommandAbc9Iso(): The AIG has only one PO. Isomorphism detection is not performed.\n" );
         return 1;
     }
-    pAig = Gia_ManIsoReduce( pAbc->pGia, &vPosEquivs, fDualOut, fVerbose );
+    pAig = Gia_ManIsoReduce( pAbc->pGia, &vPosEquivs, NULL, fDualOut, fVerbose );
     if ( pAig == NULL )
     {
         Abc_Print( -1, "Abc_CommandAbc9Iso(): Transformation has failed.\n" );

src/misc/util/utilCex.c

@@ -23,7 +23,7 @@
 #include <stdlib.h>
 #include <assert.h>
 
-#include "abc_global.h"
+#include "misc/vec/vec.h"
 #include "utilCex.h"
 
 ABC_NAMESPACE_IMPL_START
@@ -353,6 +353,119 @@ void Abc_CexFree( Abc_Cex_t * p )
 }
 
 
+/**Function*************************************************************
+
+  Synopsis    [Transform CEX after phase abstraction with nFrames frames.]
+
+  Description []
+               
+  SideEffects []
+
+  SeeAlso     []
+
+***********************************************************************/
+Abc_Cex_t * Abc_CexTransformPhase( Abc_Cex_t * p, int nPisOld, int nPosOld, int nRegsOld )
+{
+    Abc_Cex_t * pCex;
+    int nFrames = p->nPis / nPisOld;
+    int nPosNew = nPosOld * nFrames;
+    assert( p->nPis % nPisOld == 0 );
+    assert( p->iPo < nPosNew );
+    pCex = Abc_CexDup( p, nRegsOld );
+    pCex->nPis   = nPisOld;
+    pCex->iPo    = p->iPo % nPosOld;
+    pCex->iFrame = p->iFrame * nFrames + p->iPo / nPosOld;
+    pCex->nBits  = pCex->nRegs + pCex->nPis * (pCex->iFrame + 1);
+    return pCex;
+}
+
+/**Function*************************************************************
+
+  Synopsis    [Transform CEX after phase temporal decomposition with nFrames frames.]
+
+  Description []
+               
+  SideEffects []
+
+  SeeAlso     []
+
+***********************************************************************/
+Abc_Cex_t * Abc_CexTransformTempor( Abc_Cex_t * p, int nPisOld, int nPosOld, int nRegsOld )
+{
+    Abc_Cex_t * pCex;
+    int i, k, iBit = nRegsOld, nFrames = p->nPis / nPisOld - 1;
+    assert( p->iFrame > 0 ); // otherwise tempor did not properly check for failures in the prefix
+    assert( p->nPis % nPisOld == 0 );
+    pCex = Abc_CexAlloc( nRegsOld, nPisOld, nFrames + p->iFrame + 1 );
+    pCex->iPo    = p->iPo;
+    pCex->iFrame = nFrames + p->iFrame;
+    for ( i = 0; i < nFrames; i++ )
+        for ( k = 0; k < nPisOld; k++, iBit++ )
+            if ( Abc_InfoHasBit(p->pData, p->nRegs + (i+1)*nPisOld + k) )
+                Abc_InfoSetBit( pCex->pData, iBit );
+    for ( i = 0; i <= p->iFrame; i++ )
+        for ( k = 0; k < nPisOld; k++, iBit++ )
+            if ( Abc_InfoHasBit(p->pData, p->nRegs + i*p->nPis + k) )
+                Abc_InfoSetBit( pCex->pData, iBit );
+    assert( iBit == pCex->nBits );
+    return pCex;
+}
+
+/**Function*************************************************************
+
+  Synopsis    [Derives permuted CEX using permutation of its inputs.]
+
+  Description []
+               
+  SideEffects []
+
+  SeeAlso     []
+
+***********************************************************************/
+Abc_Cex_t * Abc_CexPermute( Abc_Cex_t * p, Vec_Int_t * vMapOld2New )
+{
+    Abc_Cex_t * pCex;
+    int i, iNew;
+    assert( Vec_IntSize(vMapOld2New) == p->nPis );
+    pCex = Abc_CexAlloc( p->nRegs, p->nPis, p->iFrame+1 );
+    pCex->iPo    = p->iPo;
+    pCex->iFrame = p->iFrame;
+    for ( i = p->nRegs; i < p->nBits; i++ )
+        if ( Abc_InfoHasBit(p->pData, i) )
+        {
+            iNew = p->nRegs + p->nPis * ((i - p->nRegs) / p->nPis) + Vec_IntEntry( vMapOld2New, (i - p->nRegs) % p->nPis );
+            Abc_InfoSetBit( pCex->pData, iNew );
+        }
+    return pCex;
+}
+
+/**Function*************************************************************
+
+  Synopsis    [Derives permuted CEX using two canonical permutations.]
+
+  Description []
+               
+  SideEffects []
+
+  SeeAlso     []
+
+***********************************************************************/
+Abc_Cex_t * Abc_CexPermuteTwo( Abc_Cex_t * p, Vec_Int_t * vPermOld, Vec_Int_t * vPermNew )
+{
+    Vec_Int_t * vPermInv = Vec_IntInvert( vPermNew, -1 );
+    Vec_Int_t * vPerm = Vec_IntAlloc( Vec_IntSize(vPermOld) );
+    Abc_Cex_t * pCex;
+    int i, Entry;
+    assert( Vec_IntSize(vPermOld) == p->nPis );
+    assert( Vec_IntSize(vPermNew) == p->nPis );
+    Vec_IntForEachEntry( vPerm, Entry, i )
+        Vec_IntEntry( vPerm, Vec_IntEntry(vPermInv, Vec_IntEntry(vPermOld, Entry)) );
+    pCex = Abc_CexPermute( p, vPerm );
+    Vec_IntFree( vPermInv );
+    Vec_IntFree( vPerm );
+    return pCex;
+}
+
 ////////////////////////////////////////////////////////////////////////
 ///                       END OF FILE                                ///
 ////////////////////////////////////////////////////////////////////////

src/misc/util/utilCex.h

@@ -68,6 +68,10 @@ extern void          Abc_CexPrintStatsInputs( Abc_Cex_t * p, int nInputs );
 extern void          Abc_CexPrint( Abc_Cex_t * p );
 extern void          Abc_CexFreeP( Abc_Cex_t ** p );
 extern void          Abc_CexFree( Abc_Cex_t * p );
+extern Abc_Cex_t *   Abc_CexTransformPhase( Abc_Cex_t * p, int nPisOld, int nPosOld, int nRegsOld );
+extern Abc_Cex_t *   Abc_CexTransformTempor( Abc_Cex_t * p, int nPisOld, int nPosOld, int nRegsOld );
+extern Abc_Cex_t *   Abc_CexPermute( Abc_Cex_t * p, Vec_Int_t * vMapOld2New );
+extern Abc_Cex_t *   Abc_CexPermuteTwo( Abc_Cex_t * p, Vec_Int_t * vPermOld, Vec_Int_t * vPermNew );
 
 ABC_NAMESPACE_HEADER_END