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shifted to separate packages: - opaque: external (i.e., informal, computation) content - informal: partially outdated informal data structures - metadata: metadata annotations to all structural elements or objects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

The algorithm for proving theorems about MMT content.

The algorithm for proving theorems about MMT content. This is very premature and experimental.

See api for an overview of the algorithms.

The main interfaces are - Prover: object level proving

Structure level proving does not exist yet.

The main implementations are - RuleBasedProver for object-level proving

The latter creates a Searcher for each proving task, which applies search rules to find MMT objects.

Definition Classes: api

package imperative

Definition Classes: proving

Alternative

ApplicableTactic

Atom

AtomicShape

BackwardInvertible

BackwardSearch

BoundShape

ComplexShape

EquivalenceClass

EquivalenceRelation

Fact

Facts

ForwardInvertible

ForwardSearch

Goal

InvertibleTactic

Prover

ProvingUnit

RuleBasedProver

Searcher

Shape

ShapeIndexedSet

Tactic

Wildcard

info.kwarc.mmt.api.proving

BackwardInvertible

trait BackwardInvertible extends InvertibleTactic

an InvertibleTactic, whose behavior depends only on the conclusion of a goal

Source: Tactic.scala

Linear Supertypes

InvertibleTactic, Tactic, SyntaxDrivenRule, Rule, SemanticObject, AnyRef, Any

Known Subclasses

PiIntroduction

Ordering

Alphabetic
By Inheritance

Inherited

BackwardInvertible
InvertibleTactic
Tactic
SyntaxDrivenRule
Rule
SemanticObject
AnyRef
Any

Hide All
Show All

Visibility

Public
All

Abstract Value Members

abstract def apply(prover: Searcher, g: Goal): Option[ApplicableTactic]
applies the tactic to a goal
applies the tactic to a goal
prover
the calling prover, used for callbacks
g
the goal
returns
a continuation that returns the new goal(s)

Definition Classes
BackwardInvertible → InvertibleTactic
abstract def head: GlobalName
an MMT URI that is used to indicate when the Rule is applicable
an MMT URI that is used to indicate when the Rule is applicable

Definition Classes
SyntaxDrivenRule

Concrete Value Members

final def !=(arg0: Any): Boolean

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

Definition Classes
AnyRef → Any
final def ==(arg0: Any): Boolean

Definition Classes
AnyRef → Any
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()
def init: Unit
errors in Java initializers are hard to debug; therefore, objects should put initialization code here, which will be called by MMT empty by default, may throw errors
errors in Java initializers are hard to debug; therefore, objects should put initialization code here, which will be called by MMT empty by default, may throw errors

Definition Classes
SemanticObject
final def isInstanceOf[T0]: Boolean

Definition Classes
Any
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
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()
def onApply(l: ⇒ String)(cont: ⇒ Alternative): Some[ApplicableTactic { def apply(): Some[info.kwarc.mmt.api.proving.Alternative] }]
convenience function to create an ApplicableTactic
convenience function to create an ApplicableTactic
to be used as in
```
def apply(...) = {
   // code for checking applicability
   onApply {
      // code to run when applying the rule
   }
}
```
Attributes
protected
Definition Classes
Tactic
def priority: Int
when multiple rules are applicable, rules with higher priorities are preferred
when multiple rules are applicable, rules with higher priorities are preferred
creating a new rule with higher priority can be used to effectively drop imported rules

Definition Classes
Rule
def providedRules: List[Rule]
normally the singleton list of this rule; but rules may bundle additional rules as well
normally the singleton list of this rule; but rules may bundle additional rules as well

Definition Classes
Rule
def shadowedRules: List[Rule]
normally the empty list; but rules may list rules here that should be removed from the context this can be used to override imported rules
normally the empty list; but rules may list rules here that should be removed from the context this can be used to override imported rules

Definition Classes
Rule
final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
def toString(): String

Definition Classes
SyntaxDrivenRule → Rule → 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()

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

BackwardInvertible

trait BackwardInvertible extends InvertibleTactic

Abstract Value Members

Concrete Value Members

Inherited from InvertibleTactic

Inherited from Tactic

Inherited from SyntaxDrivenRule

Inherited from Rule

Inherited from SemanticObject

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

BackwardInvertible 

trait BackwardInvertible extends InvertibleTactic

Abstract Value Members

Concrete Value Members

Inherited from InvertibleTactic

Inherited from Tactic

Inherited from SyntaxDrivenRule

Inherited from Rule

Inherited from SemanticObject

Inherited from AnyRef

Inherited from Any

Ungrouped

BackwardInvertible