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CVC3::TheoryUF Class Reference

This theory handles uninterpreted functions. More...

#include <theory_uf.h>

Inherits CVC3::Theory.

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Detailed Description

This theory handles uninterpreted functions.

Author: Clark Barrett

Created: Sat Feb 8 14:51:19 2003

Definition at line 48 of file theory_uf.h.

Member Typedef Documentation

Constructor & Destructor Documentation

TheoryUF::TheoryUF ( TheoryCore core)
TheoryUF::~TheoryUF ( )

Definition at line 71 of file theory_uf.cpp.

References d_rules.

Member Function Documentation

UFProofRules * TheoryUF::createProofRules ( )

Definition at line 41 of file uf_theorem_producer.cpp.

Referenced by TheoryUF().

void TheoryUF::addSharedTerm ( const Expr e) [virtual]

Notify theory of a new shared term.

When a term e associated with theory i occurs as a child of an expression associated with theory j, the framework calls i->addSharedTerm(e) and j->addSharedTerm(e)

Reimplemented from CVC3::Theory.

Definition at line 1139 of file theory_uf.cpp.

References d_sharedTermsMap.

Referenced by setup().

void TheoryUF::assertFact ( const Theorem e) [virtual]
void TheoryUF::checkSat ( bool  fullEffort) [virtual]

Check for satisfiability in the theory.

fullEffortwhen it is false, checkSat can do as much or as little work as it likes, though simple inferences and checks for consistency should be done to increase efficiency. If fullEffort is true, checkSat must check whether the set of facts given by assertFact together with the arrangement of shared terms (provided by addSharedTerm) induced by the global find database equivalence relation are satisfiable. If satisfiable, checkSat does nothing.

If satisfiability can be acheived by merging some of the shared terms, a new fact must be enqueued using enqueueFact (this fact need not be a literal). If there is no way to make things satisfiable, setInconsistent must be called.

Implements CVC3::Theory.

Definition at line 156 of file theory_uf.cpp.

References CVC3::Theory::addSplitter(), CVC3::UFProofRules::applyLambda(), CVC3::Expr::arity(), d_funApplications, d_funApplicationsIdx, d_rules, d_sharedIdx1, d_sharedIdx2, d_sharedTermsMap, CVC3::CDMap< Key, Data, HashFcn >::end(), CVC3::Theory::enqueueFact(), CVC3::Expr::eqExpr(), CVC3::CDMap< Key, Data, HashFcn >::find(), CVC3::Theory::find(), CVC3::Op::getExpr(), CVC3::Expr::getOp(), CVC3::Expr::getOpKind(), CVC3::Theorem::getRHS(), CVC3::Expr::getSig(), IF_DEBUG, CVC3::Expr::isLambda(), CVC3::Theorem::isNull(), CVC3::Theory::simplify(), CVC3::CDList< T >::size(), CVC3::Expr::toString(), TRACE, and UFUNC.

Theorem TheoryUF::rewrite ( const Expr e) [virtual]

Theory-specific rewrite rules.

By default, rewrite just returns a reflexive theorem stating that the input expression is equivalent to itself. However, rewrite is allowed to return any theorem which describes how the input expression is equivalent to some new expression. rewrite should be used to perform simplifications, normalization, and any other preprocessing on theory-specific expressions that needs to be done.

Reimplemented from CVC3::Theory.

Definition at line 211 of file theory_uf.cpp.

References CVC3::UFProofRules::applyLambda(), d_rules, CVC3::Expr::getKind(), CVC3::Expr::getOpExpr(), CVC3::Theorem::getRHS(), CVC3::Expr::getType(), IF_DEBUG, CVC3::Expr::isApply(), CVC3::Type::isBool(), LAMBDA, CVC3::Theory::reflexivityRule(), CVC3::Theory::rewriteCC(), CVC3::Expr::setRewriteNormal(), CVC3::Theory::simplify(), and CVC3::Theory::transitivityRule().

void TheoryUF::setup ( const Expr e) [virtual]

Set up the term e for call-backs when e or its children change.

setup is called once for each expression associated with the theory. It is typically used to setup theory-specific data for an expression and to add call-back information for use with update.

See also:

Reimplemented from CVC3::Theory.

Definition at line 236 of file theory_uf.cpp.

References addSharedTerm(), APPLY, CVC3::Type::card(), CVC3::CARD_INFINITE, d_funApplications, CVC3::Expr::getKind(), CVC3::Expr::getType(), CVC3::Expr::isTerm(), CVC3::CDList< T >::push_back(), CVC3::Theory::setupCC(), CVC3::Theory::theoryOf(), and TRACE.

void TheoryUF::update ( const Theorem e,
const Expr d 
) [virtual]

Notify a theory of a new equality.

update is a call-back used by the notify mechanism of the core theory. It works as follows. When an equation t1 = t2 makes it into the core framework, the two find equivalence classes for t1 and t2 are merged. The result is that t2 is the new equivalence class representative and t1 is no longer an equivalence class representative. When this happens, the notify list of t1 is traversed. Notify list entries consist of a theory and an expression d. For each entry (i,d), i->update(e, d) is called, where e is the theorem corresponding to the equality t1=t2.

To add the entry (i,d) to a term t1's notify list, a call must be made to t1.addNotify(i,d). This is typically done in setup.

See also:

Reimplemented from CVC3::Theory.

Definition at line 257 of file theory_uf.cpp.

References CVC3::Expr::addToNotify(), CVC3::Expr::arity(), CVC3::Expr::computeTransClosure(), d_rules, CVC3::Theory::enqueueFact(), CVC3::Theory::find(), CVC3::Theory::findExpr(), CVC3::Theory::getCommonRules(), CVC3::Expr::getOpExpr(), CVC3::Expr::getOpKind(), CVC3::Expr::getRep(), CVC3::Theorem::getRHS(), CVC3::Expr::getSig(), CVC3::Expr::getType(), CVC3::CommonProofRules::iffTrueElim(), CVC3::Expr::isApply(), CVC3::Type::isBool(), CVC3::Theorem::isNull(), CVC3::Expr::isTrue(), CVC3::UFProofRules::relToClosure(), CVC3::Expr::setRep(), CVC3::Expr::setSig(), CVC3::Theory::symmetryRule(), CVC3::TRANS_CLOSURE, CVC3::Theory::transitivityRule(), and CVC3::Theory::updateHelper().

void TheoryUF::checkType ( const Expr e) [virtual]
Cardinality TheoryUF::finiteTypeInfo ( Expr e,
Unsigned n,
bool  enumerate,
bool  computeSize 
) [virtual]

Compute information related to finiteness of types.

Used by the TypeComputer defined in TheoryCore (theories should not call this funtion directly -- they should use the methods in Type instead). Each theory should implement this if it contains any types that could be non-infinite.

1. Returns Cardinality of the type (finite, infinite, or unknown) 2. If cardinality = finite and enumerate is true, sets e to the nth element of the type if it can sets e to NULL if n is out of bounds or if unable to compute nth element 3. If cardinality = finite and computeSize is true, sets n to the size of the type if it can sets n to 0 otherwise

Reimplemented from CVC3::Theory.

Definition at line 368 of file theory_uf.cpp.

References ARROW, CVC3::Expr::begin(), CVC3::CARD_FINITE, CVC3::CARD_INFINITE, CVC3::CARD_UNKNOWN, CVC3::Expr::end(), CVC3::Theory::finiteTypeInfo(), CVC3::Expr::getKind(), and CVC3::Theory::theoryOf().

void TheoryUF::computeType ( const Expr e) [virtual]

Compute and store the type of e.

eis the expression whose type is computed.

This function computes the type of the top-level operator of e, and recurses into children using getType(), if necessary.

Reimplemented from CVC3::Theory.

Definition at line 417 of file theory_uf.cpp.

References APPLY, CVC3::Type::arity(), CVC3::Theory::computeType(), DebugAssert, CVC3::Type::funType(), CVC3::Expr::getBody(), CVC3::Expr::getKind(), CVC3::Expr::getName(), CVC3::Expr::getType(), CVC3::Expr::getVars(), CVC3::Type::isFunction(), CVC3::Expr::isSymbol(), LAMBDA, CVC3::Theory::resolveID(), CVC3::Expr::setType(), CVC3::Theory::theoryOf(), CVC3::Type::toString(), CVC3::Expr::toString(), and CVC3::TRANS_CLOSURE.

Type TheoryUF::computeBaseType ( const Type tp) [virtual]

Compute the base type of the top-level operator of an arbitrary type.

Reimplemented from CVC3::Theory.

Definition at line 471 of file theory_uf.cpp.

References CVC3::Expr::arity(), ARROW, CVC3::Expr::begin(), DebugAssert, CVC3::Expr::end(), CVC3::Theory::getBaseType(), CVC3::Type::getExpr(), CVC3::Expr::getKind(), CVC3::Expr::getOp(), CVC3::Type::toString(), and TYPEDECL.

void TheoryUF::computeModelTerm ( const Expr e,
std::vector< Expr > &  v 
) [virtual]

Add variables from 'e' to 'v' for constructing a concrete model.

If e is already of primitive type, do NOT add it to v.

Reimplemented from CVC3::Theory.

Definition at line 491 of file theory_uf.cpp.

References CVC3::CDList< T >::begin(), d_funApplications, and CVC3::CDList< T >::end().

void TheoryUF::computeModel ( const Expr e,
std::vector< Expr > &  vars 
) [virtual]

Compute the value of a compound variable from the more primitive ones.

The more primitive variables for e are already assigned concrete values, and are available through getModelValue().

The new value for e must be assigned using assignValue() method.

eis the compound type expression to assign a value;
varsare the variables actually assigned. Normally, 'e' is the only element of vars. However, e.g. in the case of uninterpreted functions, assigning 'f' means assigning all relevant applications of 'f' to constant values (f(0), f(5), etc.). Such applications might not be known before the model is constructed (they may be of the form f(x), f(y+z), etc., where x,y,z are still unassigned).

Populating 'vars' is an opportunity for a DP to change the set of top-level "variables" to assign, if needed. In particular, it may drop 'e' from the model entirely, if it is already a concrete value by itself.

Reimplemented from CVC3::Theory.

Definition at line 509 of file theory_uf.cpp.

References CVC3::andExpr(), CVC3::Theory::assignValue(), CVC3::ExprHashMap< Data >::begin(), CVC3::CDList< T >::begin(), d_applicationsInModel, d_funApplications, DebugAssert, CVC3::ExprHashMap< Data >::end(), CVC3::CDList< T >::end(), CVC3::Theory::getEM(), CVC3::Theorem::getLHS(), CVC3::Theory::getModelValue(), CVC3::Theorem::getRHS(), CVC3::Expr::getType(), CVC3::int2string(), CVC3::Expr::iteExpr(), lambdaExpr(), CVC3::ExprManager::newBoundVarExpr(), CVC3::Theory::reflexivityRule(), CVC3::Expr::setType(), CVC3::ExprHashMap< Data >::size(), CVC3::Theory::substitutivityRule(), CVC3::Theory::symmetryRule(), CVC3::Expr::toString(), and CVC3::Theory::transitivityRule().

Expr TheoryUF::computeTCC ( const Expr e) [virtual]

Compute and cache the TCC of e.

eis an expression (term or formula). This function computes the TCC of e which is true iff the expression is defined.

This function computes the TCC or predicate of the top-level operator of e, and recurses into children using getTCC(), if necessary.

The default implementation is to compute TCCs recursively for all children, and return their conjunction.

Reimplemented from CVC3::Theory.

Definition at line 591 of file theory_uf.cpp.

References CVC3::andExpr(), APPLY, CVC3::Expr::arity(), CVC3::Theory::computeTCC(), DebugAssert, CVC3::Op::getExpr(), CVC3::Expr::getKids(), CVC3::Expr::getKind(), CVC3::Expr::getOp(), CVC3::Theorem::getRHS(), CVC3::Theory::getTCC(), CVC3::Theory::getTypePred(), CVC3::Expr::isApply(), LAMBDA, lambdaExpr(), LETDECL, CVC3::Expr::mkOp(), CVC3::Theory::rewriteAnd(), CVC3::Expr::toString(), and CVC3::Theory::trueExpr().

Expr TheoryUF::parseExprOp ( const Expr e) [virtual]
ExprStream & TheoryUF::print ( ExprStream os,
const Expr e 
) [virtual]

Theory-specific pretty-printing.

By default, print the top node in AST, and resume pretty-printing the children. The same call e.print(os) can be used in DP-specific printers to use AST printing for the given node. In fact, it is strongly recommended to add e.print(os) as the default for all the cases/kinds that are not handled by the particular pretty-printer.

Reimplemented from CVC3::Theory.

Definition at line 700 of file theory_uf.cpp.

References APPLY, CVC3::Expr::arity(), ARROW, CVC3::Expr::begin(), BOOLEAN, CVC3::Theory::d_theoryUsed, CVC3::ExprStream::dagFlag(), DebugAssert, CVC3::Expr::end(), CVC3::Expr::getBody(), CVC3::Theory::getEM(), CVC3::Op::getExpr(), CVC3::Expr::getKind(), CVC3::Expr::getName(), CVC3::Expr::getOp(), CVC3::Expr::getOpExpr(), CVC3::Expr::getString(), CVC3::Expr::getVars(), CVC3::Expr::isApply(), CVC3::Expr::isLambda(), CVC3::Expr::isSymbol(), LAMBDA, CVC3::ExprStream::lang(), CVC3::LISP_LANG, CVC3::OLD_ARROW, CVC3::pop(), CVC3::popdag(), CVC3::PRESENTATION_LANG, CVC3::Expr::print(), CVC3::Expr::printAST(), printSmtLibShared(), CVC3::push(), CVC3::pushdag(), CVC3::SIMPLIFY_LANG, CVC3::SMTLIB_LANG, CVC3::SMTLIB_V2_LANG, CVC3::space(), CVC3::SPASS_LANG, CVC3::to_lower(), CVC3::TPTP_LANG, CVC3::TRANS_CLOSURE, TYPEDECL, and UFUNC.

Expr TheoryUF::lambdaExpr ( const std::vector< Expr > &  vars,
const Expr body 

Create a new LAMBDA-abstraction.

Definition at line 1129 of file theory_uf.cpp.

References CVC3::Theory::getEM(), LAMBDA, and CVC3::ExprManager::newClosureExpr().

Referenced by computeModel(), computeTCC(), and parseExprOp().

Expr TheoryUF::transClosureExpr ( const std::string &  name,
const Expr e1,
const Expr e2 

Create a transitive closure expression.

Definition at line 1134 of file theory_uf.cpp.

References CVC3::Theory::getEM(), and CVC3::TRANS_CLOSURE.

Referenced by parseExprOp().

void TheoryUF::printSmtLibShared ( ExprStream os,
const Expr e 
) [private]

Member Data Documentation

Definition at line 49 of file theory_uf.h.

Referenced by assertFact(), checkSat(), rewrite(), TheoryUF(), update(), and ~TheoryUF().

Flag to include function applications to the concrete model.

Definition at line 51 of file theory_uf.h.

Referenced by computeModel().

Definition at line 59 of file theory_uf.h.

Referenced by assertFact().

Backtracking list of function applications.

Used for building concrete models and beta-reducing lambda-expressions.

Definition at line 64 of file theory_uf.h.

Referenced by checkSat(), computeModel(), computeModelTerm(), and setup().

Pointer to the last unprocessed element (for lambda expansions)

Definition at line 66 of file theory_uf.h.

Referenced by checkSat().

CDO<size_t> CVC3::TheoryUF::d_sharedIdx1 [private]

The pointers to the last unprocessed shared pair.

Definition at line 68 of file theory_uf.h.

Referenced by checkSat().

CDO<size_t> CVC3::TheoryUF::d_sharedIdx2 [private]

Definition at line 68 of file theory_uf.h.

Referenced by checkSat().

The set of all shared terms.

Definition at line 70 of file theory_uf.h.

Referenced by addSharedTerm(), and checkSat().

The documentation for this class was generated from the following files: