00001 /////////////////////////////////////////////////////////////////////////////// 00002 /*! 00003 * \file search_fast.h 00004 * 00005 * Author: Mark Zavislak 00006 * 00007 * Created: Mon Jul 21 17:33:18 UTC 2003 00008 * 00009 * <hr> 00010 * 00011 * License to use, copy, modify, sell and/or distribute this software 00012 * and its documentation for any purpose is hereby granted without 00013 * royalty, subject to the terms and conditions defined in the \ref 00014 * LICENSE file provided with this distribution. 00015 * 00016 * <hr> 00017 * 00018 * A faster implementation of the proof search engine 00019 */ 00020 /////////////////////////////////////////////////////////////////////////////// 00021 00022 #ifndef _cvc3__include__search_fast_h_ 00023 #define _cvc3__include__search_fast_h_ 00024 00025 #include <deque> 00026 #include <utility> 00027 #include "search_impl_base.h" 00028 #include "variable.h" 00029 #include "circuit.h" 00030 #include "statistics.h" 00031 #include <set> 00032 #include "smartcdo.h" 00033 00034 namespace CVC3 { 00035 00036 class VariableManager; 00037 class DecisionEngine; 00038 00039 //////////////////////////////////////////////////////////////////////////// 00040 //////////// Definition of modules (groups) for doxygen //////////////////// 00041 //////////////////////////////////////////////////////////////////////////// 00042 00043 /*! 00044 * \defgroup SE_Fast Fast Search Engine 00045 * \ingroup SE 00046 * 00047 * This module includes all the components of the fast search 00048 * engine. 00049 * @{ 00050 */ 00051 00052 //! Implementation of a faster search engine, using newer techniques. 00053 /*! 00054 00055 This search engine is engineered for greater speed. It seeks to 00056 eliminate the use of recursion, and instead replace it with 00057 iterative procedures that have cleanly defined invariants. This 00058 will hopefully not only eliminate bugs or inefficiencies that have 00059 been difficult to track down in the default version, but it should 00060 also make it easier to trace, read, and understand. It strives to 00061 be in line with the most modern SAT techniques. 00062 00063 There are three other significant changes. 00064 00065 One, we want to improve the performance on heavily non-CNF problems. 00066 Unlike the older CVC, CVC3 does not expand problems into CNF and 00067 solve, but rather uses decision procedures to effect the same thing, 00068 but often much more slowly. This search engine will leverage off 00069 knowledge gained from the DPs in the form of conflict clauses as 00070 much as possible. 00071 00072 Two, the solver has traditionally had a difficult time getting 00073 started on non-CNF problems. Modern satsolvers also have this 00074 problem, and so they employ "restarts" to try solving the problem 00075 again after gaining more knowledge about the problem at hand. This 00076 allows a more accurate choice of splitters, and in the case of 00077 non-CNF problems, the solver can immediately leverage off CNF 00078 conflict clauses that were not initially available. 00079 00080 Third, this code is specifically designed to deal with the new 00081 dependency tracking. Lazy maps will be eliminated in favor implicit 00082 conflict graphs, reducing computation time in two different ways. 00083 00084 */ 00085 00086 class SearchEngineFast : public SearchImplBase { 00087 00088 friend class Circuit; 00089 00090 /*! \addtogroup SE_Fast 00091 * @{ 00092 */ 00093 00094 //! Name 00095 std::string d_name; 00096 //! Decision Engine 00097 DecisionEngine *d_decisionEngine; 00098 //! Total number of unit propagations 00099 StatCounter d_unitPropCount; 00100 //! Total number of circuit propagations 00101 StatCounter d_circuitPropCount; 00102 //! Total number of conflicts 00103 StatCounter d_conflictCount; 00104 //! Total number of conflict clauses generated (not all may be active) 00105 StatCounter d_conflictClauseCount; 00106 00107 //! Backtrackable list of clauses. 00108 /*! New clauses may come into play 00109 from the decision procedures that are context dependent. */ 00110 CDList<ClauseOwner> d_clauses; 00111 00112 //! Backtrackable set of pending unprocessed literals. 00113 /*! These can be discovered at any scope level during conflict 00114 analysis. */ 00115 CDMap<Expr,Theorem> d_unreportedLits; 00116 CDMap<Expr,bool> d_unreportedLitsHandled; 00117 00118 //! Backtrackable list of non-literals (non-CNF formulas). 00119 /*! We treat nonliterals like clauses, because they are a superset 00120 of clauses. We stick the real clauses into d_clauses, but all 00121 the rest have to be stored elsewhere. */ 00122 CDList<SmartCDO<Theorem> > d_nonLiterals; 00123 CDMap<Expr,Theorem> d_nonLiteralsSaved; //!< prevent reprocessing 00124 // CDMap<Expr,bool> d_nonLiteralSimplified; //!< Simplified non-literals 00125 00126 //! Theorem which records simplification of the last query 00127 CDO<Theorem> d_simplifiedThm; 00128 00129 //! Size of d_nonLiterals before most recent query 00130 CDO<unsigned> d_nonlitQueryStart; 00131 //! Size of d_nonLiterals after query (not including DP-generated non-literals) 00132 CDO<unsigned> d_nonlitQueryEnd; 00133 //! Size of d_clauses before most recent query 00134 CDO<unsigned> d_clausesQueryStart; 00135 //! Size of d_clauses after query 00136 CDO<unsigned> d_clausesQueryEnd; 00137 00138 //! Array of conflict clauses: one deque for each outstanding query 00139 std::vector<std::deque<ClauseOwner>* > d_conflictClauseStack; 00140 //! Reference to top deque of conflict clauses 00141 std::deque<ClauseOwner>* d_conflictClauses; 00142 00143 //! Helper class for managing conflict clauses 00144 /*! Conflict clauses should only get popped when the context in which a 00145 * call to checkValid originates is popped. This helper class checks 00146 * every time there's a pop to see if the conflict clauses need to be 00147 * restored. 00148 */ 00149 friend class ConflictClauseManager; 00150 class ConflictClauseManager :public ContextNotifyObj { 00151 SearchEngineFast* d_se; 00152 std::vector<int> d_restorePoints; 00153 public: 00154 ConflictClauseManager(Context* context, SearchEngineFast* se) 00155 : ContextNotifyObj(context), d_se(se) {} 00156 void setRestorePoint(); 00157 void notify(); 00158 }; 00159 ConflictClauseManager d_conflictClauseManager; 00160 00161 //! Unprocessed unit conflict clauses 00162 /*! When we find unit conflict clauses, we are automatically going 00163 to jump back to the original scope. Hopefully we won't find 00164 multiple ones, but you never know with those wacky decision 00165 procedures just spitting new information out. These are then 00166 directly asserted then promptly forgotten about. Chaff keeps 00167 them around (for correctness maybe), but we already have the 00168 proofs stored in the literals themselves. */ 00169 std::vector<Clause> d_unitConflictClauses; 00170 00171 00172 //! Set of literals to be processed by bcp. 00173 /*! These are emptied out upon backtracking, because they can only 00174 be valid if they were already all processed without conflicts. 00175 Therefore, they don't need to be context dependent. */ 00176 std::vector<Literal> d_literals; 00177 //! Set of asserted literals which may survive accross checkValid() calls 00178 /*! 00179 * When a literal is asserted outside of checkValid() call, its 00180 * value is remembered in a Literal database, but the literal 00181 * queue for BCP is cleared. We add literals to this set at the 00182 * proper scope levels, and propagate them at the beginning of a 00183 * checkValid() call. 00184 */ 00185 CDMap<Expr,Literal> d_literalSet; 00186 00187 //! Queue of derived facts to be sent to DPs 00188 /*! \sa addFact() and commitFacts() */ 00189 std::vector<Theorem> d_factQueue; 00190 /*! @brief When true, use TheoryCore::enqueueFact() instead of 00191 * addFact() in commitFacts() 00192 */ 00193 bool d_useEnqueueFact; 00194 //! True when checkSAT() is running 00195 /*! Used by addLiteralFact() to determine whether to BCP the 00196 * literals immediately (outside of checkSAT()) or not. 00197 */ 00198 bool d_inCheckSAT; 00199 00200 00201 //! Set of alive literals that shouldn't be garbage-collected 00202 /*! Unfortunately, I have a keep-alive issue. I think literals 00203 actually have to hang around, so I assert them to a separate 00204 d_litsAlive CDList. */ 00205 CDList<Literal> d_litsAlive; 00206 00207 /*! @brief Mappings of literals to vectors of pointers to the 00208 corresponding watched literals. */ 00209 /*! A pointer is a pair (clause,i), where 'i' in {0,1} is the index 00210 of the watch pointer in the clause. 00211 */ 00212 // ExprHashMap<std::vector<std::pair<Clause, int> > > d_wp; 00213 00214 std::vector<Circuit*> d_circuits; 00215 ExprHashMap<std::vector<Circuit*> > d_circuitsByExpr; 00216 00217 //! The scope of the last conflict 00218 /*! This is the true scope of the conflict, not necessarily the 00219 scope where the conflict was detected. */ 00220 int d_lastConflictScope; 00221 //! The last conflict clause (for checkSAT()). May be Null. 00222 /*! It records which conflict clause must be processed by BCP after 00223 backtracking from a conflict. A conflict may generate several 00224 conflict clauses, but only one of them will cause a unit 00225 propagation. 00226 */ 00227 Clause d_lastConflictClause; 00228 //! Theorem(FALSE) which generated a conflict 00229 Theorem d_conflictTheorem; 00230 00231 /*! @brief Return a ref to the vector of watched literals. If no 00232 such vector exists, create it. */ 00233 std::vector<std::pair<Clause, int> >& wp(const Literal& literal); 00234 00235 /*! @brief \return true if SAT, false otherwise. 00236 * 00237 * When false is returned, proof is saved in d_lastConflictTheorem */ 00238 QueryResult checkSAT(); 00239 00240 //! Choose a splitter. 00241 /*! Preconditions: The current context is consistent. 00242 * 00243 * \return true if splitter available, and it asserts it through 00244 * newIntAssumption() after first pushing a new context. 00245 * 00246 * \return false if no splitters are available, which means the 00247 * context is SAT. 00248 * 00249 * Postconditions: A literal has been asserted through 00250 * newIntAssumption(). 00251 */ 00252 bool split(); 00253 00254 // Moved from the decision engine: 00255 //! Returns a splitter 00256 Expr findSplitter(); 00257 //! Position of a literal with max score in d_litsByScores 00258 unsigned d_litsMaxScorePos; 00259 //! Vector of literals sorted by score 00260 std::vector<Literal> d_litsByScores; 00261 /* 00262 //! Mapping of literals to scores 00263 ExprHashMap<unsigned> d_litScores; 00264 //! Mapping of literals to their counters 00265 ExprHashMap<unsigned> d_litCounts; 00266 //! Mapping of literals to previous counters (what's that, anyway?) 00267 ExprHashMap<unsigned> d_litCountPrev; 00268 */ 00269 //! Internal splitter counter for delaying updateLitScores() 00270 int d_splitterCount; 00271 //! Internal (decrementing) count of added splitters, to sort d_litByScores 00272 int d_litSortCount; 00273 00274 //! Flag to switch on/off the berkmin heuristic 00275 const bool d_berkminFlag; 00276 00277 //! Clear the list of asserted literals (d_literals) 00278 void clearLiterals(); 00279 00280 void updateLitScores(bool firstTime); 00281 //! Add the literals of a new clause to d_litsByScores 00282 void updateLitCounts(const Clause& c); 00283 00284 00285 //! Boolean constraint propagation. 00286 /*! Preconditions: On every run besides the first, the CNF clause 00287 * database must not have any unit or unsat clauses, and there 00288 * must be a literal queued up for processing. The current 00289 * context must be consistent. Any and all assertions and 00290 * assignments must actually be made within the bcp loop. Other 00291 * parts of the solver may queue new facts with addLiteralFact() 00292 * and addNonLiteralFact(). bcp() will either process them, or 00293 * it will find a conflict, in which case they will no longer be 00294 * valid and will be dumped. Any nonLiterals must already be 00295 * simplified. 00296 * 00297 * Description: BCP will systematically work through all the 00298 * literals and nonliterals, using boolean constraint propagation 00299 * by detecting unit clauses and using addLiteralFact() on the 00300 * unit literal while also marking the clause as SAT. Any 00301 * clauses marked SAT are guaranteed to be SAT, but clauses not 00302 * marked SAT are not guaranteed to be unsat. 00303 * 00304 * \return false if a conflict is found, true otherwise. 00305 * 00306 * Postconditions: False indicates conflict. If the conflict was 00307 * discovered in CNF, we call the proof rule, then store that 00308 * clause pointer so fixConflict() can skip over it during the 00309 * search (when we finally change dependency tracking). 00310 * 00311 * True indicates success. All literals and nonLiterals have 00312 * been processed without causing a conflict. Processing 00313 * nonliterals implies running simplify on them, immediately 00314 * asserting any simplifications back to the core, and marking 00315 * the original nonLiteral as simplified, to be ignored by all 00316 * future (this context or deeper) splitters and bcp runs. 00317 * Therefore, there will be no unsimplified nonliterals 00318 * remaining. 00319 */ 00320 bool bcp(); 00321 00322 //! Determines backtracking level and adds conflict clauses. 00323 /*! Preconditions: The current context is inconsistent. If it 00324 * resulted from a conflictRule() application, then the theorem 00325 * is stored inside d_lastConflictTheorem. 00326 * 00327 * If this was caused from bcp, we obtain the conflictRule() 00328 * theorem from the d_lastConflictTheorem instance variable. 00329 * From here we build conflict clauses and determine the correct 00330 * backtracking level, at which point we actually backtrack 00331 * there. Finally, we also call addLiteralFact() on the "failure 00332 * driven assertion" literal so that bcp has some place to begin 00333 * (and it satisfies the bcp preconditions) 00334 * 00335 * Postconditions: If True is returned: The current context is 00336 * consistent, and a literal is queued up for bcp to process. If 00337 * False is returned: The context cannot be made consistent 00338 * without backtracking past the original one, so the formula is 00339 * unsat. 00340 */ 00341 bool fixConflict(); 00342 //! FIXME: document this 00343 void assertAssumptions(); 00344 //! Queue up a fact to assert to the DPs later 00345 void enqueueFact(const Theorem& thm); 00346 //! Set the context inconsistent. Takes Theorem(FALSE). 00347 void setInconsistent(const Theorem& thm); 00348 //! Commit all the enqueued facts to the DPs 00349 void commitFacts(); 00350 //! Clear the local fact queue 00351 void clearFacts(); 00352 00353 /*! @name Processing a Conflict */ 00354 //@{ 00355 /*! @brief Take a conflict in the form of Literal, or 00356 Theorem, and generate all the necessary conflict clauses. */ 00357 Theorem processConflict(const Literal& l); 00358 Theorem processConflict(const Theorem& thm); 00359 //@} 00360 00361 //! Auxiliary function for unit propagation 00362 bool propagate(const Clause &c, int idx, bool& wpUpdated); 00363 //! Do the unit propagation for the clause 00364 void unitPropagation(const Clause &c, unsigned idx); 00365 //! Analyse the conflict, find the UIPs, etc. 00366 void analyzeUIPs(const Theorem &falseThm, int conflictScope); 00367 00368 ///////////////////////////// 00369 // New convenience methods // 00370 ///////////////////////////// 00371 00372 //! Go through all the clauses and check the watch pointers (for debugging) 00373 IF_DEBUG(void fullCheck();) 00374 //! Set up the watch pointers for the new clause 00375 void addNewClause(Clause &c); 00376 //! Process a new derived fact (auxiliary function) 00377 void recordFact(const Theorem& thm); 00378 00379 //! First pass in conflict analysis; takes a theorem of FALSE 00380 void traceConflict(const Theorem& conflictThm); 00381 //! Private helper function for checkValid and restart 00382 QueryResult checkValidMain(const Expr& e2); 00383 00384 public: 00385 //! The main Constructor 00386 SearchEngineFast(TheoryCore* core); 00387 //! Destructor 00388 virtual ~SearchEngineFast(); 00389 00390 const std::string& getName() { return d_name; } 00391 //! Implementation of the API call 00392 virtual QueryResult checkValidInternal(const Expr& e); 00393 virtual QueryResult restartInternal(const Expr& e); 00394 //! Redefine the counterexample generation. 00395 virtual void getCounterExample(std::vector<Expr>& assertions); 00396 //! Notify the search engine about a new literal fact. 00397 void addLiteralFact(const Theorem& thm); 00398 //! Notify the search engine about a new non-literal fact. 00399 void addNonLiteralFact(const Theorem& thm); 00400 /*! @brief Redefine newIntAssumption(): we need to add the new theorem 00401 to the appropriate Literal */ 00402 virtual Theorem newIntAssumption(const Expr& e); 00403 virtual bool isAssumption(const Expr& e); 00404 void addSplitter(const Expr& e, int priority); 00405 00406 /*! @} */ // end of addtogroup SE_Fast 00407 00408 //! Return next clause whose satisfiability is unknown 00409 //virtual Clause nextClause(); 00410 //! Return next non-clause which does not reduce to false 00411 //virtual Expr nextNonClause(); 00412 }; 00413 /*! @} */ // end of SE_Fast 00414 } 00415 00416 00417 #endif