Packages

package root

Definition Classes: root

package info

Definition Classes: root

package kwarc

Definition Classes: info

package mmt

Definition Classes: kwarc

package api

This is the main package of the MMT API.

It holds subpackages for all data structures, data containers, and the central algorithms and services.

Classes directly defined in the package

Some minor classes that are used throughout MMT are defined in this package, in particular:

MMT URIs in the class Path and Namespace
processing and content errors in the class Error

The package also contains root classes for certain types that are subclassed throughout the package. Most importantly:

StructuralElement: structure-level (= named) parts in the data structures for the MMT language: documents, theories, constants, ...
MMTTask: tasks for a single object: parsing, checking, ...
Rule: object-level part of the MMT language that is written in Scala

Subpackages

Data structures for the MMT language

The data structures for the MMT languages are defined in 4 packages corresponding to the 4 levels: - documents: Documents and all other NarrativeElements - modules: Modules (= the toplevel declarations), in particular Theorys and Views - symbols: all Declarations inside modules, in particular Constants - objects: all anonymous Objects (e.g., formulas, functions, etc.), in particular Contexts and Terms

The former 3 levels are jointly called 'structural' levels. All elements subclass StructuralElement, have an MMT URI, and carry an MMT URI referring to their parent in the MMT abstract syntax tree.

Structural elements are extensible (via DerivedModules and DerivedDeclarations), and the package patterns defines declaration patterns as a built-in extension.

All structural elements are mutable and implement the ContainerElement interface for changing their children. Objects, by contrast, are represented as immutable inductive types.(except for carrying metadata.Metadata and objects.ClientProperties). The boundary between structural elements and objects is mediated by ComponentContainers: these are mutable, owned by structural elements, and maintain objects.

A few auxiliary data structures shifted to separate packages: - opaque: external (i.e., informal, computation) content - informal: partially outdated informal data structures - metadata: metadata annotations to all structural elements or objects

The MMT main class and its internal state

The package frontend contains the class Controller, which owns all state relevant for running MMT. Typically, each application creates a single instance of this class. The package also defines several other essential classes, most importantly MMT's extension (=plug-in, add-on) interfaces via the Extension class.

The package libraries maintains the instances of MMT language data structures, in particular the Library class. Controller owns a Library, which stores all structural elements that have been loaded into memory.

User interfaces

The package frontend also contains the main executable classes, in particular the Shell class.

The package gui collects all classes for building graphical user interfaces. This includes auxiliary classes for use in IDE plugins.

The package web collects all classes for the HTTP interface of MMT.

Physical storage of the MMT language files

The package archives defines MMT Archives (= projects) as well as classes for building and working with archives. The latter include in particular the BuildManager and BuildTarget. Build targets include Importers and [Exporter]]s that translate between MMT and other formats.

The package backend defines classes for maintaining archives and translating between the MMT URIs of structural elements and their physical storage locations.

The central algorithms for processing MMT content

The processing model of MMT consists of several major algorithms. - parser: read strings into MMT data structures - checking: check and refine MMT data structures - uom: pure computation on MMT data structures - proving: theorem proving on MMT data structures (in very early state)) - execution: imperative computation (in very, very early state) - presentation: rendering MMT data structures in user-facing formats (including HTML+presentation MathML)

All algorithms are defined in Extensions coupled with default implementations. Moreover, all algorithms are split into two separate levels, one for structural elements and objects. See LeveledExtension.

The package notations maintains the common code for parsing and presentation.

The package valuebases maintains mathematical databases as a part of MMT.

Other algorithms on the MMT data structures

The package ontology contains a relational, semantic web-style ontology and query engine for it.

The package moc contains change management.

The package refactoring contains refactoring principles.

General purpose utility functions

The package utils defines general purpose APIs for files, URIs, HTML building, etc.

Definition Classes: mmt

package ontology

This package contains a relational ontology and a query engine for it.

The main classes are: - RelationalElement defines the concepts and relation of the ontology (TBox) - RelationalManager extracts the ABox from MMT content - RelStore maintains the model of the ontology (ABox) - RelationGraphExporter allows exporting the ABox as a graph. - Query defines a query language for the ontology - Evaluator implements the query language for a given ABox. - Search maintains classes for faceted search, in particular the facet for MathWebSearch.

Definition Classes: api

AddAlignments

Alignment

AlignmentConcatenation

AlignmentPrefix

AlignmentsServer

Analyze

And

Annotation

AnnotationProvider

AnyMorphismEntry

AnyMorphismPrefix

AnyOtherEntry

ArgumentAlignment

BaseType

BigUnion

Binary

BinaryQueryJudgement

Bound

Choice

Closure

Component

Comprehension

ConceptAlignment

ConceptPair

ConceptReference

CustomBinary

CustomUnary

DataConstructorEntry

DatatypeConstructorEntry

DeclarationTreeExporter

Declares

DependencyGraphExporter

DependsOn

DereferenceAlignment

Difference

DocumentEntry

Edge

EdgeTo

ElemResult

Element

ElementQuery

ElementQuery1

Equal

Equals

Exists

ExplicitMorphismEntry

ExplicitMorphismPrefix

Forall

FormalAlignment

HasCodomain

HasDomain

HasMeta

HasType

HasViewFrom

HighUniverseEntry

Holds

IncludeEdge

Includes

Individual

Infer

InformalAlignment

Intersection

IsA

IsAliasFor

IsAlignedWith

IsConAss

IsConstant

IsDataConstructor

IsDatatypeConstructor

IsDerivedDeclaration

IsDocument

IsEmpty

IsHighUniverse

IsImplicitly

IsIn

IsInstance

IsInstanceOf

IsJudgementConstructor

IsNotation

IsPattern

IsRule

IsStrAss

IsStructure

IsTheory

IsUntypedConstant

IsView

JudgementConstructorEntry

Let

Literal

Literals

LogicalReference

MMTExtractor

MaltypedConstantEntry

Mapping

MathWebSearch

MathWebSearchQuery

Measure

MetaEdge

NoPrefix

Not

ObjType

Parse

PathGraphExporter

PathPattern

PathType

Paths

PatternEntry

PhysicalReference

PrefixOf

Present

PresentDecl

Projection

Prop

QMTBinaries

QMTJudgements

QMTPaths

QMTProp

QMTQuery

QMTRelationExp

QMTTypes

QMTUnaries

Query

QueryBaseType

QueryChecker

QueryEvaluator

QueryExtension

QueryFunctionApply

QueryFunctionExtension

QueryJudgement

QueryResult

QueryResultConversion

QueryType

QueryTypeConversion

Reference

RefersTo

Reflexive

RelStore

RelStoreStatistics

Relation

RelationExp

RelationGraphExporter

RelationalElement

RelationalExtractor

RelationalManager

RelationalReader

ResultSet

RuleEntry

SearchQuery

SearchResult

Sequence

SetQuery

SetQuery1

SetResult

Similarity

SimpleAlignment

SimpleRelationGraphExporter

Simplify

Singleton

Slice

StatEntryType

StatPrefixType

StatisticEntry

Statistics

StatisticsExporter

StringType

StringValue

StructureEdge

StructureEntry

SubObject

Symmetric

TermPattern

TheoryEntry

TheoryGraph

TheoryGraphExporter

TheoryGraphFragment

ToObject

ToSubject

Transitive

Tuple

TypedConstantEntry

Types

URIAlignment

URIReference

Unary

Union

UntypedConstantEntry

ViewEdge

ViewEntry

XMLType

XMLValue

info.kwarc.mmt.api.ontology

RelationExp

Companion object RelationExp

sealed abstract class RelationExp extends AnyRef

binary relations between paths, i.e., relation in the MMT ontology

The semantics of a RelationExp is a binary relation on Paths with the usual operations for the calculus of binary endorelations. For example,

val relstore:RelStore
val doc: DPath
val deps = relstore.querySet(doc, +Declares * HasType(IsTheory) * (Imports | Reflexive) * -Declares)

could be used as a dependency relation between documents.

Source: RelationExp.scala

Linear Supertypes

AnyRef, Any

Known Subclasses

Choice, HasType, Reflexive, Sequence, ToObject, ToSubject, Transitive

Ordering

Alphabetic
By Inheritance

Inherited

RelationExp
AnyRef
Any

Hide All
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Visibility

Public
All

Abstract Value Members

abstract def unary_-: RelationExp
inverse/dual

Concrete Value Members

final def !=(arg0: Any): Boolean

Definition Classes
AnyRef → Any
final def ##(): Int

Definition Classes
AnyRef → Any
def *(q: RelationExp): Sequence
composition with another relation
final def ==(arg0: Any): Boolean

Definition Classes
AnyRef → Any
def ^*: Choice
reflexive-transitive closure
def ^+: Transitive
transitive closure
final def asInstanceOf[T0]: T0

Definition Classes
Any
def clone(): AnyRef

Attributes
protected[lang]
Definition Classes
AnyRef
Annotations
@throws( ... ) @native()
final def eq(arg0: AnyRef): Boolean

Definition Classes
AnyRef
def equals(arg0: Any): Boolean

Definition Classes
AnyRef → Any
def finalize(): Unit

Attributes
protected[lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
final def getClass(): Class[_]

Definition Classes
AnyRef → Any
Annotations
@native()
def hashCode(): Int

Definition Classes
AnyRef → Any
Annotations
@native()
final def isInstanceOf[T0]: Boolean

Definition Classes
Any
final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
final def notify(): Unit

Definition Classes
AnyRef
Annotations
@native()
final def notifyAll(): Unit

Definition Classes
AnyRef
Annotations
@native()
final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
def toString(): String

Definition Classes
AnyRef → Any
final def wait(): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long, arg1: Int): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long): Unit

Definition Classes
AnyRef
Annotations
@throws( ... ) @native()
def |(q: RelationExp): Choice
union with another relation

Packages

Classes directly defined in the package

Subpackages

Data structures for the MMT language

The MMT main class and its internal state

User interfaces

Physical storage of the MMT language files

The central algorithms for processing MMT content

Other algorithms on the MMT data structures

General purpose utility functions

RelationExp

Companion object RelationExp

sealed abstract class RelationExp extends AnyRef

Abstract Value Members

Concrete Value Members

Inherited from AnyRef

Inherited from Any

Ungrouped

Packages

Classes directly defined in the package

Subpackages

Data structures for the MMT language

The MMT main class and its internal state

User interfaces

Physical storage of the MMT language files

The central algorithms for processing MMT content

Other algorithms on the MMT data structures

General purpose utility functions

RelationExp 

Companion object RelationExp

sealed abstract class RelationExp extends AnyRef

Abstract Value Members

Concrete Value Members

Inherited from AnyRef

Inherited from Any

Ungrouped

RelationExp