This theory handles datatypes. More...

#include <theory_datatype.h>

Inherits CVC3::Theory.

Inherited by CVC3::TheoryDatatypeLazy.

Collaboration diagram for CVC3::TheoryDatatype:

[legend]

List of all members.

Public Member Functions

TheoryDatatype (TheoryCore *theoryCore)
virtual ~TheoryDatatype ()
DatatypeProofRules * 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.
virtual void checkSat (bool fullEffort)
Check for satisfiability in the theory.
Theorem rewrite (const Expr &e)
Theory-specific rewrite rules.
virtual void setup (const Expr &e)
Set up the term e for call-backs when e or its children change.
virtual void update (const Theorem &e, const Expr &d)
Notify a theory of a new equality.
Theorem solve (const Theorem &e)
An optional solver.
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.
void computeModelTerm (const Expr &e, std::vector< Expr > &v)
Add variables from 'e' to 'v' for constructing a concrete model.
Expr computeTCC (const Expr &e)
Compute and cache the TCC of e.
Expr parseExprOp (const Expr &e)
Theory-specific parsing implemented by the DP.
ExprStream & print (ExprStream &os, const Expr &e)
Theory-specific pretty-printing.
Expr dataType (const std::string &name, const std::vector< std::string > &constructors, const std::vector< std::vector< std::string > > &selectors, const std::vector< std::vector< Expr > > &types)
Expr dataType (const std::vector< std::string > &names, const std::vector< std::vector< std::string > > &constructors, const std::vector< std::vector< std::vector< std::string > > > &selectors, const std::vector< std::vector< std::vector< Expr > > > &types)
Expr datatypeConsExpr (const std::string &constructor, const std::vector< Expr > &args)
Expr datatypeSelExpr (const std::string &selector, const Expr &arg)
Expr datatypeTestExpr (const std::string &constructor, const Expr &arg)
const std::pair< Expr, unsigned > & getSelectorInfo (const Expr &e)
Expr getConsForTester (const Expr &e)
unsigned getConsPos (const Expr &e)
Expr getConstant (const Type &t)
const Op & getReachablePredicate (const Type &t)
bool canCollapse (const Expr &e)

Protected Member Functions

virtual void instantiate (const Expr &e, const Unsigned &u)
virtual void initializeLabels (const Expr &e, const Type &t)
virtual void mergeLabels (const Theorem &thm, const Expr &e1, const Expr &e2)
virtual void mergeLabels (const Theorem &thm, const Expr &e, unsigned position, bool positive)

Protected Attributes

DatatypeProofRules * d_rules
ExprMap< ExprMap< unsigned > > d_datatypes
ExprMap< std::vector< Expr > > d_constructorMap
ExprMap< std::pair< Expr,
unsigned > > d_selectorMap
ExprMap< Expr > d_testerMap
ExprMap< Op > d_reach
CDMap< Expr, SmartCDO< Unsigned > > d_labels
CDList< Theorem > d_facts
CDList< Expr > d_splitters
CDO< unsigned > d_splittersIndex
CDO< bool > d_splitterAsserted
const bool & d_smartSplits
ExprMap< bool > d_getConstantStack

Detailed Description

This theory handles datatypes.

Author: Clark Barrett

Created: Wed Dec 1 22:27:12 2004

Definition at line 52 of file theory_datatype.h.

Constructor & Destructor Documentation

TheoryDatatype::TheoryDatatype ( TheoryCore * theoryCore )

Definition at line 41 of file theory_datatype.cpp.

References CVC3::CONSTRUCTOR, createProofRules(), d_rules, CVC3::DATATYPE, CVC3::DATATYPE_DECL, CVC3::Theory::getEM(), CVC3::ExprManager::newKind(), CVC3::Theory::registerTheory(), CVC3::SELECTOR, and CVC3::TESTER.

TheoryDatatype::~TheoryDatatype ( ) [virtual]

Definition at line 70 of file theory_datatype.cpp.

References d_rules.

Member Function Documentation

void TheoryDatatype::instantiate	(	const Expr &	e,
		const Unsigned &	u
	)		`[protected, virtual]`

void TheoryDatatype::initializeLabels	(	const Expr &	e,
		const Type &	t
	)		`[protected, virtual]`

void TheoryDatatype::mergeLabels	(	const Theorem &	thm,
		const Expr &	e1,
		const Expr &	e2
	)		`[protected, virtual]`

Reimplemented in CVC3::TheoryDatatypeLazy.

Definition at line 144 of file theory_datatype.cpp.

References d_facts, d_labels, d_rules, DebugAssert, CVC3::DatatypeProofRules::dummyTheorem(), CVC3::CDMap< Key, Data, HashFcn >::end(), CVC3::Theory::falseExpr(), CVC3::CDMap< Key, Data, HashFcn >::find(), CVC3::Theory::findExpr(), CVC3::Theory::getBaseType(), CVC3::Expr::hasFind(), instantiate(), CVC3::Theorem::isNull(), CVC3::CDList< T >::push_back(), and CVC3::Theory::setInconsistent().

Referenced by assertFact(), setup(), and update().

void TheoryDatatype::mergeLabels	(	const Theorem &	thm,
		const Expr &	e,
		unsigned	position,
		bool	positive
	)		`[protected, virtual]`

Reimplemented in CVC3::TheoryDatatypeLazy.

Definition at line 167 of file theory_datatype.cpp.

References d_facts, d_labels, d_rules, DebugAssert, CVC3::DatatypeProofRules::dummyTheorem(), CVC3::CDMap< Key, Data, HashFcn >::end(), CVC3::Theory::falseExpr(), CVC3::CDMap< Key, Data, HashFcn >::find(), CVC3::Theory::findExpr(), CVC3::Expr::hasFind(), instantiate(), CVC3::CDList< T >::push_back(), and CVC3::Theory::setInconsistent().

DatatypeProofRules * TheoryDatatype::createProofRules ( )

Definition at line 42 of file datatype_theorem_producer.cpp.

Referenced by TheoryDatatype().

void TheoryDatatype::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 191 of file theory_datatype.cpp.

References CVC3::Expr::addToNotify(), d_labels, CVC3::DATATYPE, CVC3::CDMap< Key, Data, HashFcn >::end(), CVC3::CDMap< Key, Data, HashFcn >::find(), CVC3::Theory::getBaseType(), and initializeLabels().

void TheoryDatatype::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 201 of file theory_datatype.cpp.

References CVC3::Expr::addToNotify(), CVC3::Expr::andExpr(), CVC3::ExprMap< Data >::begin(), d_constructorMap, d_datatypes, d_facts, d_labels, d_rules, CVC3::DATATYPE, datatypeTestExpr(), CVC3::DatatypeProofRules::dummyTheorem(), CVC3::ExprMap< Data >::end(), CVC3::CDMap< Key, Data, HashFcn >::end(), CVC3::Theory::enqueueFact(), CVC3::Expr::eqExpr(), CVC3::CDMap< Key, Data, HashFcn >::find(), CVC3::Theory::getBaseType(), getConsForTester(), getConsPos(), CVC3::Type::getExpr(), CVC3::Theorem::getExpr(), CVC3::Expr::getOpExpr(), CVC3::Expr::getOpKind(), CVC3::Expr::impExpr(), initializeLabels(), CVC3::Expr::isNot(), CVC3::Expr::isNull(), CVC3::Theorem::isRewrite(), mergeLabels(), and CVC3::TESTER.

void TheoryDatatype::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.

Reimplemented in CVC3::TheoryDatatypeLazy.

Definition at line 260 of file theory_datatype.cpp.

References CVC3::Theory::addSplitter(), CVC3::ExprMap< Data >::begin(), d_datatypes, d_facts, d_labels, d_rules, d_smartSplits, d_splitterAsserted, d_splitters, d_splittersIndex, datatypeTestExpr(), DebugAssert, CVC3::DatatypeProofRules::dummyTheorem(), CVC3::ExprMap< Data >::end(), CVC3::CDMap< Key, Data, HashFcn >::end(), CVC3::Theory::enqueueFact(), CVC3::ExprMap< Data >::find(), CVC3::CDMap< Key, Data, HashFcn >::find(), CVC3::Theory::findExpr(), CVC3::Theory::getBaseType(), getConsPos(), CVC3::Type::getExpr(), CVC3::Expr::getOpExpr(), getSelectorInfo(), CVC3::isSelector(), OR, CVC3::CDList< T >::size(), CVC3::Expr::toString(), and CVC3::Type::toString().

Theorem TheoryDatatype::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 320 of file theory_datatype.cpp.

References canCollapse(), d_facts, d_rules, CVC3::Theorem::getRHS(), CVC3::isConstructor(), CVC3::isSelector(), CVC3::isTester(), CVC3::Theory::reflexivityRule(), CVC3::DatatypeProofRules::rewriteSelCons(), CVC3::DatatypeProofRules::rewriteTestCons(), CVC3::Theory::simplify(), and CVC3::Theory::transitivityRule().

void TheoryDatatype::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.

Reimplemented in CVC3::TheoryDatatypeLazy.

Definition at line 339 of file theory_datatype.cpp.

References CVC3::Expr::addToNotify(), APPLY, CVC3::Expr::arity(), d_labels, d_rules, d_smartSplits, d_splitters, CVC3::DATATYPE, CVC3::CDMap< Key, Data, HashFcn >::end(), CVC3::Theory::enqueueFact(), CVC3::CDMap< Key, Data, HashFcn >::find(), CVC3::Theory::getBaseType(), CVC3::Expr::getKind(), initializeLabels(), CVC3::isConstructor(), CVC3::isSelector(), mergeLabels(), CVC3::DatatypeProofRules::noCycle(), CVC3::CDList< T >::push_back(), CVC3::Expr::setSelected(), and CVC3::Theory::setupCC().

void TheoryDatatype::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.

Reimplemented in CVC3::TheoryDatatypeLazy.

Definition at line 359 of file theory_datatype.cpp.

References CVC3::Expr::addToNotify(), CVC3::Expr::arity(), canCollapse(), d_facts, d_labels, d_rules, CVC3::DATATYPE, DebugAssert, CVC3::DatatypeProofRules::decompose(), CVC3::CDMap< Key, Data, HashFcn >::end(), CVC3::Theory::enqueueFact(), CVC3::CDMap< Key, Data, HashFcn >::find(), CVC3::Theory::getBaseType(), CVC3::Theory::getEM(), CVC3::Theorem::getLHS(), CVC3::Expr::getOpExpr(), CVC3::Expr::getRep(), CVC3::Theorem::getRHS(), CVC3::Expr::getSig(), initializeLabels(), CVC3::ExprManager::invalidateSimpCache(), CVC3::Expr::isApply(), CVC3::isConstructor(), CVC3::Theorem::isNull(), CVC3::Expr::isNull(), CVC3::Expr::isSelected(), CVC3::isSelector(), CVC3::isTester(), mergeLabels(), CVC3::CDList< T >::push_back(), CVC3::DatatypeProofRules::rewriteSelCons(), CVC3::DatatypeProofRules::rewriteTestCons(), CVC3::Expr::setRep(), CVC3::Expr::setSelected(), CVC3::Expr::setSig(), CVC3::Theory::symmetryRule(), CVC3::Theory::transitivityRule(), and CVC3::Theory::updateHelper().

Theorem TheoryDatatype::solve ( const Theorem & e ) [virtual]

An optional solver.

The solve method can be used to implement a Shostak-style solver. Since solvers do not in general combine, the following technique is used. One theory is designated as the primary solver (in our case, it is the theory of arithmetic). For each equation that enters the core framework, the primary solver is called to ensure that the equation is in solved form with respect to the primary theory.

After the primary solver, the solver for the theory associated with the equation is called. This solver can do whatever it likes, as long as the result is still in solved form with respect to the primary solver. This is a slight generalization of what is described in my (Clark)'s PhD thesis.

Reimplemented from CVC3::Theory.

Definition at line 425 of file theory_datatype.cpp.

References DebugAssert, CVC3::Theorem::getLHS(), CVC3::Theorem::getRHS(), CVC3::isConstructor(), CVC3::Theorem::isRewrite(), CVC3::Expr::isTerm(), and CVC3::Theory::symmetryRule().

void TheoryDatatype::checkType ( const Expr & e ) [virtual]

Check that e is a valid Type expr.

Reimplemented from CVC3::Theory.

Definition at line 436 of file theory_datatype.cpp.

References CVC3::Expr::arity(), CVC3::CONSTRUCTOR, CVC3::DATATYPE, FatalAssert, CVC3::Theory::getEM(), CVC3::Expr::getKind(), CVC3::Expr::isString(), CVC3::Theory::resolveID(), CVC3::SELECTOR, CVC3::TESTER, and CVC3::Expr::toString().

Cardinality TheoryDatatype::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 457 of file theory_datatype.cpp.

References CVC3::Expr::arity(), CVC3::ExprMap< Data >::begin(), CVC3::CARD_FINITE, CVC3::CARD_INFINITE, CVC3::CARD_UNKNOWN, CVC3::ExprMap< Data >::count(), d_datatypes, d_getConstantStack, CVC3::DATATYPE, DebugAssert, CVC3::ExprMap< Data >::end(), CVC3::ExprMap< Data >::erase(), CVC3::Theory::finiteTypeInfo(), CVC3::Type::getExpr(), CVC3::Expr::getKind(), CVC3::Expr::getType(), CVC3::Expr::mkOp(), CVC3::Theory::theoryOf(), CVC3::Expr::typeEnumerateFinite(), and CVC3::Expr::typeSizeFinite().

void TheoryDatatype::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 562 of file theory_datatype.cpp.

References CVC3::Expr::arity(), ARROW, CVC3::Expr::begin(), CVC3::CONSTRUCTOR, CVC3::DATATYPE, DebugAssert, CVC3::Expr::end(), CVC3::Theory::getBaseType(), CVC3::Type::getExpr(), CVC3::Op::getExpr(), CVC3::Expr::getKind(), CVC3::Expr::getOp(), CVC3::Expr::getOpKind(), CVC3::Expr::isApply(), CVC3::Type::isNull(), CVC3::SELECTOR, CVC3::Expr::setType(), CVC3::TESTER, and CVC3::Expr::toString().

void TheoryDatatype::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 607 of file theory_datatype.cpp.

Expr TheoryDatatype::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 612 of file theory_datatype.cpp.

References CVC3::Expr::andExpr(), APPLY, CVC3::Expr::arity(), CVC3::Theory::computeTCC(), CVC3::CONSTRUCTOR, datatypeTestExpr(), DebugAssert, CVC3::Expr::getKind(), CVC3::Expr::getOpExpr(), getSelectorInfo(), CVC3::Expr::isApply(), CVC3::SELECTOR, CVC3::Expr::toString(), and CVC3::Theory::trueExpr().

Expr TheoryDatatype::parseExprOp ( const Expr & e ) [virtual]

Theory-specific parsing implemented by the DP.

Reimplemented from CVC3::Theory.

Definition at line 731 of file theory_datatype.cpp.

References CVC3::Expr::arity(), CVC3::ExprMap< Data >::count(), CVC3::DATATYPE, DebugAssert, CVC3::Theory::getEM(), CVC3::ExprManager::getKind(), CVC3::Expr::getKind(), CVC3::Expr::getString(), ID, CVC3::ExprMap< Data >::insert(), CVC3::Theory::parseExpr(), RAW_LIST, and CVC3::Expr::toString().

ExprStream & TheoryDatatype::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 639 of file theory_datatype.cpp.

References APPLY, CVC3::Expr::arity(), CVC3::ExprMap< Data >::begin(), CVC3::Expr::begin(), CVC3::CONSTRUCTOR, d_constructorMap, d_datatypes, CVC3::DATATYPE, CVC3::DATATYPE_DECL, DebugAssert, CVC3::ExprMap< Data >::end(), CVC3::Expr::end(), std::endl(), FatalAssert, CVC3::ExprMap< Data >::find(), CVC3::Theory::getEM(), CVC3::Expr::getKind(), CVC3::Expr::getName(), CVC3::Expr::getOpExpr(), CVC3::Expr::getString(), CVC3::Expr::isString(), CVC3::Expr::isSymbol(), CVC3::ExprStream::lang(), CVC3::LISP_LANG, CVC3::pop(), CVC3::PRESENTATION_LANG, CVC3::Expr::printAST(), CVC3::push(), CVC3::SELECTOR, CVC3::SMTLIB_LANG, CVC3::space(), and CVC3::TESTER.

Expr TheoryDatatype::dataType	(	const std::string &	name,
		const std::vector< std::string > &	constructors,
		const std::vector< std::vector< std::string > > &	selectors,
		const std::vector< std::vector< Expr > > &	types
	)

Definition at line 859 of file theory_datatype.cpp.

Expr TheoryDatatype::dataType	(	const std::vector< std::string > &	names,
		const std::vector< std::vector< std::string > > &	constructors,
		const std::vector< std::vector< std::vector< std::string > > > &	selectors,
		const std::vector< std::vector< std::vector< Expr > > > &	types
	)