This theory handles uninterpreted functions. More...

#include <theory_uf.h>

Inherits CVC3::Theory.

Collaboration diagram for CVC3::TheoryUF:

[legend]

List of all members.

Classes

struct TCMapPair

Public Member Functions

TheoryUF (TheoryCore *core)
~TheoryUF ()
UFProofRules * createProofRules ()
void addSharedTerm (const Expr &e)
Notify theory of a new shared term.
void assertFact (const Theorem &e)
Assert a new fact to the decision procedure.
void checkSat (bool fullEffort)
Check for satisfiability in the theory.
Theorem rewrite (const Expr &e)
Theory-specific rewrite rules.
void setup (const Expr &e)
Set up the term e for call-backs when e or its children change.
void update (const Theorem &e, const Expr &d)
Notify a theory of a new equality.
void checkType (const Expr &e)
Check that e is a valid Type expr.
Cardinality finiteTypeInfo (Expr &e, Unsigned &n, bool enumerate, bool computeSize)
Compute information related to finiteness of types.
void computeType (const Expr &e)
Compute and store the type of e.
Type computeBaseType (const Type &t)
Compute the base type of the top-level operator of an arbitrary type.
void computeModelTerm (const Expr &e, std::vector< Expr > &v)
Add variables from 'e' to 'v' for constructing a concrete model.
void computeModel (const Expr &e, std::vector< Expr > &vars)
Compute the value of a compound variable from the more primitive ones.
Expr computeTCC (const Expr &e)
Compute and cache the TCC of e.
virtual Expr parseExprOp (const Expr &e)
Theory-specific parsing implemented by the DP.
ExprStream & print (ExprStream &os, const Expr &e)
Theory-specific pretty-printing.
Expr lambdaExpr (const std::vector< Expr > &vars, const Expr &body)
Create a new LAMBDA-abstraction.
Expr transClosureExpr (const std::string &name, const Expr &e1, const Expr &e2)
Create a transitive closure expression.

Private Types

typedef struct
CVC3::TheoryUF::TCMapPair TCMapPair

Private Member Functions

void printSmtLibShared (ExprStream &os, const Expr &e)

Private Attributes

UFProofRules * d_rules
const bool & d_applicationsInModel
Flag to include function applications to the concrete model.
ExprMap< TCMapPair * > d_transClosureMap
CDList< Expr > d_funApplications
Backtracking list of function applications.
CDO< size_t > d_funApplicationsIdx
Pointer to the last unprocessed element (for lambda expansions)
CDO< size_t > d_sharedIdx1
The pointers to the last unprocessed shared pair.
CDO< size_t > d_sharedIdx2
CDMap< Expr, bool > d_sharedTermsMap
The set of all shared terms.

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

typedef struct CVC3::TheoryUF::TCMapPair CVC3::TheoryUF::TCMapPair [private]

Constructor & Destructor Documentation

TheoryUF::TheoryUF ( TheoryCore * core )

Definition at line 42 of file theory_uf.cpp.

References ARROW, createProofRules(), d_rules, CVC3::Theory::getEM(), LAMBDA, CVC3::ExprManager::newKind(), CVC3::OLD_ARROW, CVC3::Theory::registerTheory(), CVC3::TRANS_CLOSURE, TYPEDECL, and UFUNC.

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]

Assert a new fact to the decision procedure.

Each fact that makes it into the core framework is assigned to exactly one theory: the theory associated with that fact. assertFact is called to inform the theory that a new fact has been assigned to the theory.

Implements CVC3::Theory.

Definition at line 79 of file theory_uf.cpp.

References CVC3::TheoryUF::TCMapPair::appearsFirstMap, CVC3::TheoryUF::TCMapPair::appearsSecondMap, APPLY, CVC3::Expr::arity(), CVC3::Expr::computeTransClosure(), d_rules, d_transClosureMap, DebugAssert, CVC3::ExprMap< Data >::end(), CVC3::Theory::enqueueFact(), CVC3::ExprMap< Data >::find(), CVC3::TheoryCore::getCM(), CVC3::ContextManager::getCurrentContext(), CVC3::Theorem::getExpr(), CVC3::Expr::getKind(), CVC3::Expr::getName(), CVC3::Expr::getOpExpr(), CVC3::Expr::getOpKind(), CVC3::Expr::isApply(), NOT, CVC3::CDList< T >::push_back(), CVC3::UFProofRules::relToClosure(), CVC3::UFProofRules::relTrans(), CVC3::Theory::resolveID(), CVC3::CDList< T >::size(), CVC3::Theory::theoryCore(), CVC3::Expr::toString(), CVC3::TRANS_CLOSURE, and UFUNC.

void TheoryUF::checkSat ( bool fullEffort ) [virtual]

Check for satisfiability in the theory.

Parameters:

fullEffort when 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:: update

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:: setup

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]

Check that e is a valid Type expr.

Reimplemented from CVC3::Theory.

Definition at line 337 of file theory_uf.cpp.

References CVC3::Expr::arity(), ARROW, CVC3::Expr::begin(), DebugAssert, CVC3::Expr::end(), CVC3::Theory::getEM(), CVC3::Expr::getKind(), CVC3::Type::isBool(), CVC3::Type::isFunction(), CVC3::Expr::toString(), and TYPEDECL.

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.

Parameters:

e	is 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.

Parameters:

e	is the compound type expression to assign a value;
vars	are 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.

Parameters:

e	is 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]

Theory-specific parsing implemented by the DP.

Reimplemented from CVC3::Theory.

Definition at line 1015 of file theory_uf.cpp.

References CVC3::Theory::addBoundVar(), CVC3::Expr::arity(), ARROW, CVC3::Expr::begin(), DebugAssert, CVC3::Expr::end(), CVC3::Expr::getEM(), CVC3::Theory::getEM(), CVC3::ExprManager::getKind(), CVC3::Expr::getKind(), CVC3::Expr::getString(), ID, CVC3::Expr::isNull(), LAMBDA, lambdaExpr(), CVC3::Expr::mkOp(), CVC3::OLD_ARROW, CVC3::Theory::parseExpr(), RAW_LIST, CVC3::Theory::resolveID(), CVC3::Theory::theoryCore(), CVC3::Expr::toString(), CVC3::TRANS_CLOSURE, transClosureExpr(), CVC3::TUPLE_TYPE, and TYPEDECL.

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.