SetTheory

final def !=(arg0: Any): Boolean

final def ##(): Int

final def ==(arg0: Any): Boolean

def SMTDeclarationSideEffects: Seq[Theory]

A list of (other) theories that are implicitly declared as a side-effect of declaring this theory.

object SetSort extends ProxySort with TheorySort

val all: MonoSortedIFunction

Set of all elements.

val arTheory: ExtArray

final def asInstanceOf[T0]: T0

val axioms: Formula

Axioms defining the theory; such axioms are simply added as formulae to the problem to be proven, and thus handled using the standard reasoning techniques (including e-matching).

def clone(): AnyRef

val combArTheory: CombArray

val compl: IFunction

def contains(set: ITerm, el: ITerm): IFormula

el in set.

val dependencies: List[CombArray]

Optionally, other theories that this theory depends on.

val elementSort: Sort

val emptySet: MonoSortedIFunction

{}.

final def eq(arg0: AnyRef): Boolean

def equals(arg0: Any): Boolean

def evalFun(f: IFunApp): Option[ITerm]

Optionally, a function evaluating theory functions applied to concrete arguments, represented as constructor terms.

def evalPred(p: IAtom): Option[Boolean]

Optionally, a function evaluating theory predicates applied to concrete arguments, represented as constructor terms.

def evaluatingSimplifier(t: IExpression): IExpression

A simplification function that applies the methods evalFun and evalPred to some given expression (but not recursively).

def excluding(set: ITerm, el: ITerm): ITerm

def extend(order: TermOrder): TermOrder

Add the symbols defined by this theory to the order

def fun2SMTString(f: IFunction): Option[String]

Translate a function belonging to this theory to an SMT-LIB identifier.

val funPredMap: Map[IFunction, Predicate]

val functionPredicateMapping: List[(MonoSortedIFunction, Predicate)]

Mapping of interpreted functions to interpreted predicates, used translating input ASTs to internal ASTs (the latter only containing predicates).

val functionalPredicates: Set[Predicate]

Information which of the predicates satisfy the functionality axiom; at some internal points, such predicates can be handled more efficiently

val functions: List[MonoSortedIFunction]

Interpreted functions of the theory

def generateDecoderData(model: Conjunction): Option[TheoryDecoderData]

If this theory defines any Theory.Decoder, which can translate model data into some theory-specific representation, this function can be overridden to pre-compute required data from a model.

final def getClass(): Class[_]

def hashCode(): Int

def iPostprocess(f: IFormula, signature: Signature): IFormula

Optionally, a post-processor that is applied to formulas output by the prover, for instance to interpolants or the result of quantifier elimination.

def iPreprocess(f: IFormula, signature: Signature): (IFormula, Signature)

Optionally, a pre-processor that is applied to formulas over this theory, prior to sending the formula to a prover.

def including(set: ITerm, el: ITerm): ITerm

val insert: MonoSortedIFunction

union(set, {el}).

final def isInstanceOf[T0]: Boolean

def isSoundForSat(theories: Seq[Theory], config: Theory.SatSoundnessConfig.Value): Boolean

Check whether we can tell that the given combination of theories is sound for checking satisfiability of a problem, i.e., if proof construction ends up in a dead end, can it be concluded that a problem is satisfiable.

val isect: IFunction

val member: MonoSortedPredicate

el in set

val minus: IFunction

val modelGenPredicates: Set[Predicate]

Optionally, a set of predicates used by the theory to tell the PresburgerModelFinder about terms that will be handled exclusively by this theory.

final def ne(arg0: AnyRef): Boolean

final def notify(): Unit

final def notifyAll(): Unit

def plugin: None.type

Optionally, a plug-in implementing reasoning in this theory

def postSimplifiers: Seq[(IExpression) ⇒ IExpression]

Optionally, simplifiers that are applied to formulas output by the prover, for instance to interpolants or the result of quantifier.

def postprocess(f: Conjunction, signature: Signature): Conjunction

Optionally, a post-processor that is applied to formulas output by the prover, for instance to interpolants or the result of quantifier elimination.

def pred2SMTString(p: Predicate): Option[String]

Translate a predicate belonging to this theory to an SMT-LIB identifier.

val predefPredicates: List[MonoSortedPredicate]

val predicateMatchConfig: PredicateMatchConfig

Information how interpreted predicates should be handled for e-matching.

val predicates: Seq[Predicate]

Interpreted predicates of the theory

def preprocess(f: Conjunction, signature: Signature): Conjunction

Optionally, a pre-processor that is applied to formulas over this theory, prior to sending the formula to a prover.

def printSMTDeclaration: Unit

Print an SMT-LIB declaration of this theory; do not output anything if the theory does not need to be declared.

val reducerPlugin: ReducerPluginFactory

Optionally, a plugin for the reducer applied to formulas both before and during proving.

val remove: MonoSortedIFunction

set \ {el}.

def set(els: ITerm*): ITerm

{el1, ..., eln}.

val singleInstantiationPredicates: Set[Predicate]

When instantiating existentially quantifier formulas, EX phi, at most one instantiation is necessary provided that all predicates in phi are contained in this set.

val sort: SetSort.type

def sort2SMTType(s: Sort): Option[SMTType]

Translate a sort belonging to this theory to an SMT type.

def subsetOf(set1: ITerm, set2: ITerm): IFormula

set1 is a subset of set2.

final def synchronized[T0](arg0: ⇒ T0): T0

def toString(): String

val totalityAxioms: Conjunction

Additional axioms that are included if the option +genTotalityAxioms is given to Princess.

lazy val transitiveDependencies: Iterable[Theory]

Dependencies closed under transitivity, i.e., also including the dependencies of dependencies.

val triggerRelevantFunctions: Set[IFunction]

A list of functions that should be considered in automatic trigger generation

val union: IFunction

final def wait(arg0: Long, arg1: Int): Unit

final def wait(arg0: Long): Unit

final def wait(): Unit

def finalize(): Unit