/* Title: Pure/Build/export_theory.scala
Author: Makarius
Export foundational theory content.
*/
package isabelle
import scala.collection.immutable.SortedMap
object Export_Theory {
/** session content **/
sealed case class Session(name: String, theory_graph: Graph[String, Option[Theory]]) {
override def toString: String = name
def theory(theory_name: String): Option[Theory] =
if (theory_graph.defined(theory_name)) theory_graph.get_node(theory_name)
else None
def theories: List[Theory] =
theory_graph.topological_order.flatMap(theory)
}
def read_session(
session_context: Export.Session_Context,
session_stack: Boolean = false,
progress: Progress = new Progress
): Session = {
val thys =
for (theory <- theory_names(session_context, session_stack = session_stack)) yield {
progress.echo("Reading theory " + theory)
read_theory(session_context.theory(theory))
}
val graph0 =
thys.foldLeft(Graph.string[Option[Theory]]) {
case (g, thy) => g.default_node(thy.name, Some(thy))
}
val graph1 =
thys.foldLeft(graph0) {
case (g0, thy) =>
thy.parents.foldLeft(g0) {
case (g1, parent) => g1.default_node(parent, None).add_edge_acyclic(parent, thy.name)
}
}
Session(session_context.session_name, graph1)
}
/** theory content **/
sealed case class Theory(name: String, parents: List[String],
types: List[Entity[Type]],
consts: List[Entity[Const]],
axioms: List[Entity[Axiom]],
thms: List[Entity[Thm]],
classes: List[Entity[Class]],
locales: List[Entity[Locale]],
locale_dependencies: List[Entity[Locale_Dependency]],
classrel: List[Classrel],
arities: List[Arity],
constdefs: List[Constdef],
typedefs: List[Typedef],
datatypes: List[Datatype],
spec_rules: List[Spec_Rule],
others: Map[String, List[Entity[Other]]]
) {
override def toString: String = name
def entity_iterator: Iterator[Entity0] =
types.iterator.map(_.no_content) ++
consts.iterator.map(_.no_content) ++
axioms.iterator.map(_.no_content) ++
thms.iterator.map(_.no_content) ++
classes.iterator.map(_.no_content) ++
locales.iterator.map(_.no_content) ++
locale_dependencies.iterator.map(_.no_content) ++
(for { (_, xs) <- others; x <- xs.iterator } yield x.no_content)
def cache(cache: Term.Cache): Theory =
Theory(cache.string(name),
parents.map(cache.string),
types.map(_.cache(cache)),
consts.map(_.cache(cache)),
axioms.map(_.cache(cache)),
thms.map(_.cache(cache)),
classes.map(_.cache(cache)),
locales.map(_.cache(cache)),
locale_dependencies.map(_.cache(cache)),
classrel.map(_.cache(cache)),
arities.map(_.cache(cache)),
constdefs.map(_.cache(cache)),
typedefs.map(_.cache(cache)),
datatypes.map(_.cache(cache)),
spec_rules.map(_.cache(cache)),
(for ((k, xs) <- others.iterator) yield cache.string(k) -> xs.map(_.cache(cache))).toMap)
}
def read_theory_parents(theory_context: Export.Theory_Context): Option[List[String]] =
theory_context.get(Export.THEORY_PREFIX + "parents")
.map(entry => Library.trim_split_lines(entry.text))
def theory_names(
session_context: Export.Session_Context,
session_stack: Boolean = false
): List[String] = {
val session = if (session_stack) "" else session_context.session_name
for {
theory <- session_context.theory_names(session = session)
if read_theory_parents(session_context.theory(theory)).isDefined
} yield theory
}
def no_theory: Theory =
Theory("", Nil, Nil, Nil, Nil, Nil, Nil, Nil, Nil, Nil, Nil, Nil, Nil, Nil, Nil, Map.empty)
def read_theory(
theory_context: Export.Theory_Context,
permissive: Boolean = false
): Theory = {
val cache = theory_context.cache
val session_name = theory_context.session_context.session_name
val theory_name = theory_context.theory
read_theory_parents(theory_context) match {
case None if permissive => no_theory
case None =>
error("Missing theory export in session " + quote(session_name) + ": " + quote(theory_name))
case Some(parents) =>
val theory =
Theory(theory_name, parents,
read_types(theory_context),
read_consts(theory_context),
read_axioms(theory_context),
read_thms(theory_context),
read_classes(theory_context),
read_locales(theory_context),
read_locale_dependencies(theory_context),
read_classrel(theory_context),
read_arities(theory_context),
read_constdefs(theory_context),
read_typedefs(theory_context),
read_datatypes(theory_context),
read_spec_rules(theory_context),
read_others(theory_context))
if (cache.no_cache) theory else theory.cache(cache)
}
}
/* entities */
object Kind {
val TYPE = "type"
val CONST = "const"
val THM = "thm"
val PROOF = "proof"
val LOCALE_DEPENDENCY = "locale_dependency"
val DOCUMENT_HEADING = "document_heading"
val DOCUMENT_TEXT = "document_text"
val PROOF_TEXT = "proof_text"
}
def export_kind(kind: String): String =
if (kind == Markup.TYPE_NAME) Kind.TYPE
else if (kind == Markup.CONSTANT) Kind.CONST
else kind
def export_kind_name(kind: String, name: String): String =
name + "|" + export_kind(kind)
abstract class Content[T] {
def cache(cache: Term.Cache): T
}
sealed case class No_Content() extends Content[No_Content] {
def cache(cache: Term.Cache): No_Content = this
}
sealed case class Entity[A <: Content[A]](
kind: String,
name: String,
xname: String,
pos: Position.T,
id: Option[Long],
serial: Long,
content: Option[A]
) {
val kname: String = export_kind_name(kind, name)
val range: Symbol.Range = Position.Range.unapply(pos).getOrElse(Text.Range.offside)
val file: String = Position.File.unapply(pos).getOrElse("")
def export_kind: String = Export_Theory.export_kind(kind)
override def toString: String = export_kind + " " + quote(name)
def the_content: A =
if (content.isDefined) content.get else error("No content for " + toString)
def no_content: Entity0 = copy(content = None)
def cache(cache: Term.Cache): Entity[A] =
Entity(
cache.string(kind),
cache.string(name),
cache.string(xname),
cache.position(pos),
id,
serial,
content.map(_.cache(cache)))
}
type Entity0 = Entity[No_Content]
def read_entities[A <: Content[A]](
theory_context: Export.Theory_Context,
export_name: String,
kind: String,
decode: XML.Decode.T[A]
): List[Entity[A]] = {
def decode_entity(tree: XML.Tree): Entity[A] = {
def err(): Nothing = throw new XML.XML_Body(List(tree))
tree match {
case XML.Elem(Markup(Markup.ENTITY, props), body) =>
val name = Markup.Name.unapply(props) getOrElse err()
val xname = Markup.XName.unapply(props) getOrElse err()
val pos = props.filter(p => Markup.position_property(p) && p._1 != Markup.ID)
val id = Position.Id.unapply(props)
val serial = Markup.Serial.unapply(props) getOrElse err()
val content = if (body.isEmpty) None else Some(decode(body))
Entity(kind, name, xname, pos, id, serial, content)
case _ => err()
}
}
theory_context.yxml(export_name).map(decode_entity)
}
/* approximative syntax */
enum Assoc { case NO_ASSOC, LEFT_ASSOC, RIGHT_ASSOC }
sealed abstract class Syntax
case object No_Syntax extends Syntax
case class Prefix(delim: String) extends Syntax
case class Infix(assoc: Assoc, delim: String, pri: Int) extends Syntax
def decode_syntax: XML.Decode.T[Syntax] =
XML.Decode.variant(List(
{ case (Nil, Nil) => No_Syntax },
{ case (List(delim), Nil) => Prefix(delim) },
{ case (Nil, body) =>
import XML.Decode._
val (ass, delim, pri) = triple(int, string, int)(body)
Infix(Assoc.fromOrdinal(ass), delim, pri) }))
/* types */
sealed case class Type(syntax: Syntax, args: List[String], abbrev: Option[Term.Typ])
extends Content[Type] {
override def cache(cache: Term.Cache): Type =
Type(
syntax,
args.map(cache.string),
abbrev.map(cache.typ))
}
def read_types(theory_context: Export.Theory_Context): List[Entity[Type]] =
read_entities(theory_context, Export.THEORY_PREFIX + "types", Markup.TYPE_NAME,
{ body =>
import XML.Decode._
val (syntax, args, abbrev) =
triple(decode_syntax, list(string), option(Term_XML.Decode.typ))(body)
Type(syntax, args, abbrev)
})
/* consts */
sealed case class Const(
syntax: Syntax,
typargs: List[String],
typ: Term.Typ,
abbrev: Option[Term.Term],
propositional: Boolean
) extends Content[Const] {
override def cache(cache: Term.Cache): Const =
Const(
syntax,
typargs.map(cache.string),
cache.typ(typ),
abbrev.map(cache.term),
propositional)
}
def read_consts(theory_context: Export.Theory_Context): List[Entity[Const]] =
read_entities(theory_context, Export.THEORY_PREFIX + "consts", Markup.CONSTANT,
{ body =>
import XML.Decode._
val (syntax, (typargs, (typ, (abbrev, propositional)))) =
pair(decode_syntax,
pair(list(string),
pair(Term_XML.Decode.typ,
pair(option(Term_XML.Decode.term), bool))))(body)
Const(syntax, typargs, typ, abbrev, propositional)
})
/* axioms */
sealed case class Prop(
typargs: List[(String, Term.Sort)],
args: List[(String, Term.Typ)],
term: Term.Term
) extends Content[Prop] {
override def cache(cache: Term.Cache): Prop =
Prop(
typargs.map({ case (name, sort) => (cache.string(name), cache.sort(sort)) }),
args.map({ case (name, typ) => (cache.string(name), cache.typ(typ)) }),
cache.term(term))
}
def decode_prop(body: XML.Body): Prop = {
val (typargs, args, t) = {
import XML.Decode._
import Term_XML.Decode._
triple(list(pair(string, sort)), list(pair(string, typ)), term)(body)
}
Prop(typargs, args, t)
}
sealed case class Axiom(prop: Prop) extends Content[Axiom] {
override def cache(cache: Term.Cache): Axiom = Axiom(prop.cache(cache))
}
def read_axioms(theory_context: Export.Theory_Context): List[Entity[Axiom]] =
read_entities(theory_context, Export.THEORY_PREFIX + "axioms", Markup.AXIOM,
body => Axiom(decode_prop(body)))
/* theorems */
sealed case class Thm_Id(serial: Long, theory_name: String)
sealed case class Thm(
prop: Prop,
deps: List[String],
proof: Term.Proof)
extends Content[Thm] {
override def cache(cache: Term.Cache): Thm =
Thm(
prop.cache(cache),
deps.map(cache.string),
cache.proof(proof))
}
def read_thms(theory_context: Export.Theory_Context): List[Entity[Thm]] =
read_entities(theory_context, Export.THEORY_PREFIX + "thms", Kind.THM,
{ body =>
import XML.Decode._
import Term_XML.Decode._
val (prop, deps, prf) = triple(decode_prop, list(string), proof)(body)
Thm(prop, deps, prf)
})
sealed case class Proof(
typargs: List[(String, Term.Sort)],
args: List[(String, Term.Typ)],
term: Term.Term,
proof: Term.Proof
) {
def prop: Prop = Prop(typargs, args, term)
def cache(cache: Term.Cache): Proof =
Proof(
typargs.map({ case (name, sort) => (cache.string(name), cache.sort(sort)) }),
args.map({ case (name, typ) => (cache.string(name), cache.typ(typ)) }),
cache.term(term),
cache.proof(proof))
}
def read_proof(
session_context: Export.Session_Context,
id: Thm_Id,
other_cache: Option[Term.Cache] = None
): Option[Proof] = {
val theory_context = session_context.theory(id.theory_name, other_cache = other_cache)
val cache = theory_context.cache
for { entry <- theory_context.get(Export.PROOFS_PREFIX + id.serial) }
yield {
val body = entry.yxml
val (typargs, (args, (prop_body, proof_body))) = {
import XML.Decode._
import Term_XML.Decode._
pair(list(pair(string, sort)), pair(list(pair(string, typ)), pair(x => x, x => x)))(body)
}
val env = args.toMap
val prop = Term_XML.Decode.term_env(env)(prop_body)
val proof = Term_XML.Decode.proof_env(env)(proof_body)
val result = Proof(typargs, args, prop, proof)
if (cache.no_cache) result else result.cache(cache)
}
}
def read_proof_boxes(
session_context: Export.Session_Context,
proof: Term.Proof,
suppress: Thm_Id => Boolean = _ => false,
other_cache: Option[Term.Cache] = None
): List[(Thm_Id, Proof)] = {
var seen = Set.empty[Long]
var result = SortedMap.empty[Long, (Thm_Id, Proof)]
def boxes(context: Option[(Long, Term.Proof)], prf: Term.Proof): Unit = {
prf match {
case Term.Abst(_, _, p) => boxes(context, p)
case Term.AbsP(_, _, p) => boxes(context, p)
case Term.Appt(p, _) => boxes(context, p)
case Term.AppP(p, q) => boxes(context, p); boxes(context, q)
case thm: Term.PThm if !seen(thm.serial) =>
seen += thm.serial
val id = Thm_Id(thm.serial, thm.theory_name)
if (!suppress(id)) {
Export_Theory.read_proof(session_context, id, other_cache = other_cache) match {
case Some(p) =>
result += (thm.serial -> (id -> p))
boxes(Some((thm.serial, p.proof)), p.proof)
case None =>
error("Missing proof " + thm.serial + " (theory " + quote (thm.theory_name) + ")" +
(context match {
case None => ""
case Some((i, p)) => " in proof " + i + ":\n" + p
}))
}
}
case _ =>
}
}
boxes(None, proof)
result.iterator.map(_._2).toList
}
/* type classes */
sealed case class Class(params: List[(String, Term.Typ)], axioms: List[Prop])
extends Content[Class] {
override def cache(cache: Term.Cache): Class =
Class(
params.map({ case (name, typ) => (cache.string(name), cache.typ(typ)) }),
axioms.map(_.cache(cache)))
}
def read_classes(theory_context: Export.Theory_Context): List[Entity[Class]] =
read_entities(theory_context, Export.THEORY_PREFIX + "classes", Markup.CLASS,
{ body =>
import XML.Decode._
import Term_XML.Decode._
val (params, axioms) = pair(list(pair(string, typ)), list(decode_prop))(body)
Class(params, axioms)
})
/* locales */
sealed case class Locale(
typargs: List[(String, Term.Sort)],
args: List[((String, Term.Typ), Syntax)],
axioms: List[Prop]
) extends Content[Locale] {
override def cache(cache: Term.Cache): Locale =
Locale(
typargs.map({ case (name, sort) => (cache.string(name), cache.sort(sort)) }),
args.map({ case ((name, typ), syntax) => ((cache.string(name), cache.typ(typ)), syntax) }),
axioms.map(_.cache(cache)))
}
def read_locales(theory_context: Export.Theory_Context): List[Entity[Locale]] =
read_entities(theory_context, Export.THEORY_PREFIX + "locales", Markup.LOCALE,
{ body =>
import XML.Decode._
import Term_XML.Decode._
val (typargs, args, axioms) =
triple(list(pair(string, sort)), list(pair(pair(string, typ), decode_syntax)),
list(decode_prop))(body)
Locale(typargs, args, axioms)
})
/* locale dependencies */
sealed case class Locale_Dependency(
source: String,
target: String,
prefix: List[(String, Boolean)],
subst_types: List[((String, Term.Sort), Term.Typ)],
subst_terms: List[((String, Term.Typ), Term.Term)]
) extends Content[Locale_Dependency] {
override def cache(cache: Term.Cache): Locale_Dependency =
Locale_Dependency(
cache.string(source),
cache.string(target),
prefix.map({ case (name, mandatory) => (cache.string(name), mandatory) }),
subst_types.map({ case ((a, s), ty) => ((cache.string(a), cache.sort(s)), cache.typ(ty)) }),
subst_terms.map({ case ((x, ty), t) => ((cache.string(x), cache.typ(ty)), cache.term(t)) }))
def is_inclusion: Boolean =
subst_types.isEmpty && subst_terms.isEmpty
}
def read_locale_dependencies(
theory_context: Export.Theory_Context
): List[Entity[Locale_Dependency]] = {
read_entities(theory_context, Export.THEORY_PREFIX + "locale_dependencies",
Kind.LOCALE_DEPENDENCY,
{ body =>
import XML.Decode._
import Term_XML.Decode._
val (source, (target, (prefix, (subst_types, subst_terms)))) =
pair(string, pair(string, pair(list(pair(string, bool)),
pair(list(pair(pair(string, sort), typ)), list(pair(pair(string, typ), term))))))(body)
Locale_Dependency(source, target, prefix, subst_types, subst_terms)
})
}
/* sort algebra */
sealed case class Classrel(class1: String, class2: String, prop: Prop) {
def cache(cache: Term.Cache): Classrel =
Classrel(cache.string(class1), cache.string(class2), prop.cache(cache))
}
def read_classrel(theory_context: Export.Theory_Context): List[Classrel] = {
val body = theory_context.yxml(Export.THEORY_PREFIX + "classrel")
val classrel = {
import XML.Decode._
list(pair(decode_prop, pair(string, string)))(body)
}
for ((prop, (c1, c2)) <- classrel) yield Classrel(c1, c2, prop)
}
sealed case class Arity(
type_name: String,
domain: List[Term.Sort],
codomain: String,
prop: Prop
) {
def cache(cache: Term.Cache): Arity =
Arity(cache.string(type_name), domain.map(cache.sort), cache.string(codomain),
prop.cache(cache))
}
def read_arities(theory_context: Export.Theory_Context): List[Arity] = {
val body = theory_context.yxml(Export.THEORY_PREFIX + "arities")
val arities = {
import XML.Decode._
import Term_XML.Decode._
list(pair(decode_prop, triple(string, list(sort), string)))(body)
}
for ((prop, (a, b, c)) <- arities) yield Arity(a, b, c, prop)
}
/* Pure constdefs */
sealed case class Constdef(name: String, axiom_name: String) {
def cache(cache: Term.Cache): Constdef =
Constdef(cache.string(name), cache.string(axiom_name))
}
def read_constdefs(theory_context: Export.Theory_Context): List[Constdef] = {
val body = theory_context.yxml(Export.THEORY_PREFIX + "constdefs")
val constdefs = {
import XML.Decode._
list(pair(string, string))(body)
}
for ((name, axiom_name) <- constdefs) yield Constdef(name, axiom_name)
}
/* HOL typedefs */
sealed case class Typedef(
name: String,
rep_type: Term.Typ,
abs_type: Term.Typ,
rep_name: String,
abs_name: String,
axiom_name: String
) {
def cache(cache: Term.Cache): Typedef =
Typedef(cache.string(name),
cache.typ(rep_type),
cache.typ(abs_type),
cache.string(rep_name),
cache.string(abs_name),
cache.string(axiom_name))
}
def read_typedefs(theory_context: Export.Theory_Context): List[Typedef] = {
val body = theory_context.yxml(Export.THEORY_PREFIX + "typedefs")
val typedefs = {
import XML.Decode._
import Term_XML.Decode._
list(pair(string, pair(typ, pair(typ, pair(string, pair(string, string))))))(body)
}
for { (name, (rep_type, (abs_type, (rep_name, (abs_name, axiom_name))))) <- typedefs }
yield Typedef(name, rep_type, abs_type, rep_name, abs_name, axiom_name)
}
/* HOL datatypes */
sealed case class Datatype(
pos: Position.T,
name: String,
co: Boolean,
typargs: List[(String, Term.Sort)],
typ: Term.Typ,
constructors: List[(Term.Term, Term.Typ)]
) {
def id: Option[Long] = Position.Id.unapply(pos)
def cache(cache: Term.Cache): Datatype =
Datatype(
cache.position(pos),
cache.string(name),
co,
typargs.map({ case (name, sort) => (cache.string(name), cache.sort(sort)) }),
cache.typ(typ),
constructors.map({ case (term, typ) => (cache.term(term), cache.typ(typ)) }))
}
def read_datatypes(theory_context: Export.Theory_Context): List[Datatype] = {
val body = theory_context.yxml(Export.THEORY_PREFIX + "datatypes")
val datatypes = {
import XML.Decode._
import Term_XML.Decode._
list(pair(properties, pair(string, pair(bool, pair(list(pair(string, sort)),
pair(typ, list(pair(term, typ))))))))(body)
}
for ((pos, (name, (co, (typargs, (typ, constructors))))) <- datatypes)
yield Datatype(pos, name, co, typargs, typ, constructors)
}
/* Pure spec rules */
sealed abstract class Recursion {
def cache(cache: Term.Cache): Recursion =
this match {
case Primrec(types) => Primrec(types.map(cache.string))
case Primcorec(types) => Primcorec(types.map(cache.string))
case _ => this
}
}
case class Primrec(types: List[String]) extends Recursion
case object Recdef extends Recursion
case class Primcorec(types: List[String]) extends Recursion
case object Corec extends Recursion
case object Unknown_Recursion extends Recursion
val decode_recursion: XML.Decode.T[Recursion] = {
import XML.Decode._
variant(List(
{ case (Nil, a) => Primrec(list(string)(a)) },
{ case (Nil, Nil) => Recdef },
{ case (Nil, a) => Primcorec(list(string)(a)) },
{ case (Nil, Nil) => Corec },
{ case (Nil, Nil) => Unknown_Recursion }))
}
sealed abstract class Rough_Classification {
def is_equational: Boolean = this.isInstanceOf[Equational]
def is_inductive: Boolean = this == Inductive
def is_co_inductive: Boolean = this == Co_Inductive
def is_relational: Boolean = is_inductive || is_co_inductive
def is_unknown: Boolean = this == Unknown
def cache(cache: Term.Cache): Rough_Classification =
this match {
case Equational(recursion) => Equational(recursion.cache(cache))
case _ => this
}
}
case class Equational(recursion: Recursion) extends Rough_Classification
case object Inductive extends Rough_Classification
case object Co_Inductive extends Rough_Classification
case object Unknown extends Rough_Classification
val decode_rough_classification: XML.Decode.T[Rough_Classification] = {
import XML.Decode._
variant(List(
{ case (Nil, a) => Equational(decode_recursion(a)) },
{ case (Nil, Nil) => Inductive },
{ case (Nil, Nil) => Co_Inductive },
{ case (Nil, Nil) => Unknown }))
}
sealed case class Spec_Rule(
pos: Position.T,
name: String,
rough_classification: Rough_Classification,
typargs: List[(String, Term.Sort)],
args: List[(String, Term.Typ)],
terms: List[(Term.Term, Term.Typ)],
rules: List[Term.Term]
) {
def id: Option[Long] = Position.Id.unapply(pos)
def cache(cache: Term.Cache): Spec_Rule =
Spec_Rule(
cache.position(pos),
cache.string(name),
rough_classification.cache(cache),
typargs.map({ case (name, sort) => (cache.string(name), cache.sort(sort)) }),
args.map({ case (name, typ) => (cache.string(name), cache.typ(typ)) }),
terms.map({ case (term, typ) => (cache.term(term), cache.typ(typ)) }),
rules.map(cache.term))
}
def read_spec_rules(theory_context: Export.Theory_Context): List[Spec_Rule] = {
val body = theory_context.yxml(Export.THEORY_PREFIX + "spec_rules")
val spec_rules = {
import XML.Decode._
import Term_XML.Decode._
list(
pair(properties, pair(string, pair(decode_rough_classification,
pair(list(pair(string, sort)), pair(list(pair(string, typ)),
pair(list(pair(term, typ)), list(term))))))))(body)
}
for ((pos, (name, (rough_classification, (typargs, (args, (terms, rules)))))) <- spec_rules)
yield Spec_Rule(pos, name, rough_classification, typargs, args, terms, rules)
}
/* other entities */
sealed case class Other() extends Content[Other] {
override def cache(cache: Term.Cache): Other = this
}
def read_others(theory_context: Export.Theory_Context): Map[String, List[Entity[Other]]] = {
val kinds =
theory_context.get(Export.THEORY_PREFIX + "other_kinds") match {
case Some(entry) => split_lines(entry.text)
case None => Nil
}
val other = Other()
def read_other(kind: String): List[Entity[Other]] =
read_entities(theory_context, Export.THEORY_PREFIX + "other/" + kind, kind, _ => other)
kinds.map(kind => kind -> read_other(kind)).toMap
}
}