//∀a, i, e, j, f i != j → W (W (a, i, e), j, f ) = W (W (a, j, f ), i, e)
void Egraph::WoWNeqAxiom( Enode * wow )
{
assert( false );
Enode * wowArray = wow->get1st( );
Enode * a = wowArray->get1st( );
Enode * i = wowArray->get2nd( );
Enode * e = wowArray->get3rd( );
Enode * j = wow->get2nd( );
Enode * f = wow->get3rd( );
assert( wowArray->isDTypeArray( ) );
assert( a->isDTypeArray( ) );
assert( i->isDTypeArrayIndex( ) );
assert( e->isDTypeArrayElement( ) );
assert( j->isDTypeArrayIndex( ) );
assert( f->isDTypeArrayElement( ) );
// Case i, j not coincident
if( i != j )
{
// create term W(W(a,j,f),i,e)
Enode * store1 = mkStore(a,j,f);
Enode * store2 = mkStore(store1,i,e);
// add clause IF i!=j THEN W(W(a,i,e),j,f)=W(W(a,j,f),i,e)
// that is (i=j OR W(W(a,i,e),j,f)=W(W(a,j,f),i,e))
vector< Enode * > v;
Enode * lit1 = mkEq(cons(i,cons(j)));
Enode * lit2 = mkEq(cons(wow,cons(store2)));
v.push_back( lit1 );
v.push_back( lit2 );
#ifdef ARR_VERB
cout << "Axiom WoW!= -> " << "(or " << lit1 << " " << lit2 << " )" << endl;
#endif
splitOnDemand( v, id );
handleArrayAssertedAtomTerm(store2);
}
}
// ∀a, i, e, j, f. ( i = j → W ( W ( a, i, e ), j, f ) = W ( a, j, f ) )
void Egraph::WoWEqAxiom( Enode * wow )
{
assert( false );
Enode * wowArray = wow->get1st( );
Enode * a = wowArray->get1st( );
Enode * i = wowArray->get2nd( );
Enode * e = wowArray->get3rd( );
Enode * j = wow->get2nd( );
Enode * f = wow->get3rd( );
assert( wowArray->isDTypeArray( ) );
assert( a->isDTypeArray( ) );
assert( i->isDTypeArrayIndex( ) );
assert( e->isDTypeArrayElement( ) );
assert( j->isDTypeArrayIndex( ) );
assert( f->isDTypeArrayElement( ) );
//i,j not coincident
if( i != j )
{
// create term W(a,j,f)
Enode * store = mkStore( a, j, f );
#ifdef PRODUCE_PROOF
if ( config.gconfig.print_inter > 0 )
{
const uint64_t shared = getIPartitions( a )
& getIPartitions( j )
& getIPartitions( f );
// Mixed can't be one at this point
assert( shared != 1 );
// Set AB-mixed partition if no intersection
if ( shared == 0 )
setIPartitions( store, 1 );
// Otherwise they share something
else
setIPartitions( store, shared );
}
#endif
// add clause IF i=j THEN W(W(a,i,e),j,f)=W(a,j,f)
// that is (NOT(i=j) OR W(W(a,i,e),j,f)=W(a,j,f))
vector< Enode * > v;
Enode * lit1_pos = mkEq( cons( i, cons( j ) ) );
Enode * lit1 = mkNot( cons( lit1_pos ) );
#ifdef PRODUCE_PROOF
if ( config.gconfig.print_inter > 0 )
{
const uint64_t shared = getIPartitions( i )
& getIPartitions( j );
// Mixed can't be one at this point
assert( shared != 1 );
// Set AB-mixed partition if no intersection
if ( shared == 0 )
{
setIPartitions( lit1_pos, 1 );
setIPartitions( lit1, 1 );
}
// Otherwise they share something
else
{
setIPartitions( lit1_pos, shared );
setIPartitions( lit1, shared );
}
}
#endif
Enode * lit2 = mkEq( cons( wow, cons( store ) ) );
#ifdef PRODUCE_PROOF
if ( config.gconfig.print_inter > 0 )
{
const uint64_t shared = getIPartitions( wow )
& getIPartitions( store );
// Mixed can't be one at this point
assert( shared != 1 );
// Set AB-mixed partition if no intersection
if ( shared == 0 )
setIPartitions( lit2, 1 );
// Otherwise they share something
else
setIPartitions( lit2, shared );
}
#endif
v.push_back( lit1 );
v.push_back( lit2 );
#ifdef ARR_VERB
cout << "Axiom WoW= -> " << "(or " << lit1 << " " << lit2 << " )" << endl;
#endif
splitOnDemand( v, id );
handleArrayAssertedAtomTerm( store );
}
}
Enode *
ExpandITEs::doit( Enode * formula )
{
assert( formula );
list< Enode * > new_clauses;
vector< Enode * > unprocessed_enodes;
egraph.initDupMap1( );
unprocessed_enodes.push_back( formula );
//
// Visit the DAG of the formula from the leaves to the root
//
while( !unprocessed_enodes.empty( ) )
{
Enode * enode = unprocessed_enodes.back( );
//
// Skip if the node has already been processed before
//
if ( egraph.valDupMap1( enode ) != NULL )
{
unprocessed_enodes.pop_back( );
continue;
}
bool unprocessed_children = false;
Enode * arg_list;
for ( arg_list = enode->getCdr( ) ;
arg_list != egraph.enil ;
arg_list = arg_list->getCdr( ) )
{
Enode * arg = arg_list->getCar( );
assert( arg->isTerm( ) );
//
// Push only if it is unprocessed
//
if ( egraph.valDupMap1( arg ) == NULL )
{
unprocessed_enodes.push_back( arg );
unprocessed_children = true;
}
}
//
// SKip if unprocessed_children
//
if ( unprocessed_children )
continue;
unprocessed_enodes.pop_back( );
Enode * result = NULL;
//
// At this point, every child has been processed
//
char def_name[ 32 ];
if ( enode->isIte( ) )
{
//
// Retrieve arguments
//
Enode * i = egraph.valDupMap1( enode->get1st( ) );
Enode * t = egraph.valDupMap1( enode->get2nd( ) );
Enode * e = egraph.valDupMap1( enode->get3rd( ) );
Enode * not_i = egraph.mkNot( egraph.cons( i ) );
//
// Generate variable symbol
//
sprintf( def_name, ITE_STR, enode->getId( ) );
Snode * sort = enode->getLastSort( );
egraph.newSymbol( def_name, sort );
//
// Generate placeholder
//
result = egraph.mkVar( def_name );
//
// Generate additional clauses
//
Enode * eq_then = egraph.mkEq( egraph.cons( result
, egraph.cons( t ) ) );
Enode * eq_else = egraph.mkEq( egraph.cons( result
, egraph.cons( e ) ) );
new_clauses.push_back( egraph.mkOr( egraph.cons( not_i
, egraph.cons( eq_then ) ) ) );
new_clauses.push_back( egraph.mkOr( egraph.cons( i
, egraph.cons( eq_else ) ) ) );
}
else
{
result = egraph.copyEnodeEtypeTermWithCache( enode );
}
assert( result );
assert( egraph.valDupMap1( enode ) == NULL );
egraph.storeDupMap1( enode, result );
}
Enode * new_formula = egraph.valDupMap1( formula );
assert( new_formula );
egraph.doneDupMap1( );
new_clauses.push_back( new_formula );
return egraph.mkAnd( egraph.cons( new_clauses ) );
}