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.

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shifted to separate packages: - opaque: external (i.e., informal, computation) content - informal: partially outdated informal data structures - metadata: metadata annotations to all structural elements or objects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

    The algorithm for immutably computing with MMT content, i.e., simplification (strings to MMT data structures).

    Simplification

    The algorithm for immutably computing with MMT content, i.e., simplification (strings to MMT data structures). See api for an overview of the algorithms.

    The main interfaces are - Simplifier: the main interface for parser (combining a structure and an object simplifier) - StructureSimplifier: simplifying structural elements - ObjectSimplifier: simplifying objects

    The main implementations are - ElaborationBasedSimplifier for structural elements - RuleBasedSimplifier for objects

    Structure simplification is extensible using derived elements. Object simplification is extensible using rules.

    Literals and semantic objects

    This package also contains the classes for using Scala objects as MMT literals.

    SemanticType defines types as sets of Scala objects. SemanticValue defines a distinguished element of such a type. SemanitcOperator defines functions on such types as Scala functions.

    Literals and operations on them are injected into the MMT language by declaring RealizedValue, RealizedType and RealizedOperator rules, which tie a syntactic type/operator (i.e., an MMT term) to a semantic counterpart.

    StandardLiterals defines semantic types for the most important types.

    RealizedTheory represents an MMT theory programmed in Scala, usually as a Scala class.

    Scala companion objects for MMT theories

    TheoryScala and ConstantScala are auxiliary classes that are useful when implementing MMT rules or other logic-specific algorithms.

    Definition Classes
    api
  • object Arithmetic

    defines SemanticOperators for the standard arithmetic operations

    defines SemanticOperators for the standard arithmetic operations

    Definition Classes
    uom
  • One
  • Plus
  • Succ
  • Times
  • Zero

object Times extends InvertibleBinary with Commutative

Ordering
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Inherited
  1. Times
  2. Commutative
  3. InvertibleBinary
  4. Invertible
  5. Binary
  6. SemanticOperator
  7. SemanticObject
  8. AnyRef
  9. Any
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Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. def alsoHasType(t: SemOpType): Unit
    Attributes
    protected
    Definition Classes
    SemanticOperator
  5. def apply(x: List[Any]): Any

    the implementation of the operator pre: args.length == arity

    the implementation of the operator pre: args.length == arity

    Definition Classes
    BinarySemanticOperator
  6. lazy val arity: Int
    Definition Classes
    SemanticOperator
  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native()
  9. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  10. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  11. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  12. val from1: SemanticType
    Definition Classes
    Binary
  13. val from2: SemanticType
    Definition Classes
    Binary
  14. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  15. def getTypes: List[SemOpType]
    Definition Classes
    SemanticOperator
  16. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  17. def init: Unit

    basic type checking

    basic type checking

    Definition Classes
    SemanticOperatorSemanticObject
  18. def invert(args: List[UnapplyArg], res: Any): Option[Boolean]

    the implementation of the inverse

    the implementation of the inverse

    args

    arguments of the function (known or unknown)

    returns

    true if result == this(args) can be uniquely solved, and all unknown arguments were filled in; false if there is no solution; None if inconclusive pre: args.length == arity

    Definition Classes
    InvertibleBinaryInvertible
  19. def invertLeft(x: Any, r: Any): Option[Any]
    Definition Classes
    TimesInvertibleBinary
  20. def invertRight(x: Any, r: Any): Option[Any]
    Definition Classes
    Commutative
  21. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  22. lazy val mpath: MPath

    the MMT URI of this object, derived from its Scala name: scala://package?name

    the MMT URI of this object, derived from its Scala name: scala://package?name

    Definition Classes
    SemanticObject
  23. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  24. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  25. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  26. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  27. val to: SemanticType
    Definition Classes
    Binary
  28. def toString(): String
    Definition Classes
    AnyRef → Any
  29. val tp: SemOpType
    Definition Classes
    SemanticOperator
  30. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  31. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  32. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native()

Inherited from Commutative

Inherited from InvertibleBinary

Inherited from Invertible

Inherited from Binary

Inherited from SemanticOperator

Inherited from SemanticObject

Inherited from AnyRef

Inherited from Any

Ungrouped