{- HetCATS/HasCASL/As.hs

$Id$

Authors: Christian Maeder

Year: 2002

abstract syntax for HasCASL

more liberal than HetCATS/HasCASL/Concrete-Syntax.txt

annotations almost as in HetCATS/CASL/AS_Basic_CASL.hs v 1.8

-}

module HasCASL.As where

import Common.Id

import Common.AS_Annotation

import Common.Lib.Set

data BasicSpec = BasicSpec [Annoted BasicItem]

deriving (Show, Eq)

data BasicItem = SigItems SigItems

| ProgItems [Annoted ProgEq] [Pos]

-- pos "program", dots

| ClassItems Instance [Annoted ClassItem] [Pos]

-- pos "class", ";"s

| GenVarItems [GenVarDecl] [Pos]

-- pos "var", ";"s

| FreeDatatype [Annoted DatatypeDecl] [Pos]

-- pos "free", "type", ";"s

| GenItems [Annoted SigItems] [Pos]

-- pos "generated" "{", ";"s, "}"

-- or "generated" "type" ";"s

| AxiomItems [GenVarDecl] [Annoted Formula] [Pos]

-- pos "forall" (if GenVarDecl not empty), dots

deriving (Show, Eq)

data SigItems = TypeItems Instance [Annoted TypeItem] [Pos] -- including sort

-- pos "type", ";"s

| OpItems [Annoted OpItem] [Pos]

-- pos "op", ";"s

deriving (Show, Eq)

-- "instance" indicator

data Instance = Instance | Plain deriving (Show, Eq)

data ClassItem = ClassItem ClassDecl [Annoted BasicItem] [Pos]

-- pos "{", ";"s "}"

deriving (Show, Eq)

data ClassDecl = ClassDecl [ClassId] Kind [Pos]

-- pos ","s

| SubclassDecl [ClassId] Kind Class [Pos]

-- pos ","s, "<"

| ClassDefn ClassId Kind Class [Pos]

-- pos "="

| DownsetDefn ClassId Token Type [Pos]

-- pos " =" "{", dot, "<", typeVar, "}"

deriving (Show, Eq)

data TypeItem = TypeDecl [TypePattern] Kind [Pos]

-- pos ","s

| SubtypeDecl [TypePattern] Type [Pos]

-- pos ","s, "<"

| IsoDecl [TypePattern] [Pos]

-- pos "="s

| SubtypeDefn TypePattern Vars Type (Annoted Formula) [Pos]

-- pos "=", "{", ":", dot, "}"

| AliasType TypePattern (Maybe Kind) TypeScheme [Pos]

-- pos ":="

| Datatype DatatypeDecl

deriving (Show, Eq)

data Vars = Var Var | VarTuple [Vars] [Pos] deriving (Show, Eq)

data TypePattern = TypePattern TypeId [TypeArg] [Pos]

-- pos "("s, ")"s

| TypePatternToken Token

| MixfixTypePattern [TypePattern]

| BracketTypePattern BracketKind [TypePattern] [Pos]

-- pos brackets (no parenthesis)

| TypePatternArg TypeArg [Pos]

-- pos "(", ")"

deriving (Show, Eq)

data Type = TypeName TypeId Kind Int -- (Int == 0 means constructor)

| TypeAppl Type Type

| TypeToken Token

| BracketType BracketKind [Type] [Pos]

-- pos "," (between type arguments)

| KindedType Type Kind [Pos]

-- pos ":"

| MixfixType [Type]

| LazyType Type [Pos]

-- pos "?"

| ProductType [Type] [Pos]

-- pos crosses

| FunType Type Arrow Type [Pos]

-- pos arrow

deriving (Show)

data Arrow = FunArr| PFunArr | ContFunArr | PContFunArr

deriving (Show, Eq, Ord)

data Pred = IsIn ClassId [Type]

deriving (Show, Eq)

data Qual t = [Pred] :=> t

deriving (Show, Eq)

-- no curried notation for bound variables

data TypeScheme = TypeScheme [TypeArg] (Qual Type) [Pos]

-- pos "forall", ";"s, dot (singleton list)

-- pos "\" "("s, ")"s, dot for type aliases

deriving (Show)

simpleTypeScheme :: Type -> TypeScheme

simpleTypeScheme t = TypeScheme [] ([] :=> t) []

logicalType :: Type

logicalType = TypeName (simpleIdToId (mkSimpleId "Unit")) star 0

-- or ProductType [] []

predTypeScheme :: TypeScheme -> TypeScheme

predTypeScheme (TypeScheme vs (qs :=> t) ps) =

TypeScheme vs (qs :=> predType t) ps

predType :: Type -> Type

predType t = FunType t PFunArr logicalType []

data Partiality = Partial | Total deriving (Show, Eq, Ord)

data OpItem = OpDecl [OpId] TypeScheme [OpAttr] [Pos]

-- pos ","s, ":", ","s, "assoc", "comm", "idem", "unit"

| OpDefn OpId [Pattern] TypeScheme Partiality Term [Pos]

-- pos "("s, ")"s, ":" or ":?", "="

deriving (Show, Eq)

data BinOpAttr = Assoc | Comm | Idem deriving (Show, Eq, Ord)

data OpAttr = BinOpAttr BinOpAttr [Pos]

| UnitOpAttr Term [Pos] deriving (Show)

data DatatypeDecl = DatatypeDecl

TypePattern

Kind

[Annoted Alternative]

(Maybe Class)

[Pos]

-- pos "::=", "|"s, "deriving"

deriving (Show, Eq)

data Alternative = Constructor UninstOpId [Components] Partiality [Pos]

-- pos: "?"

| Subtype [Type] [Pos]

-- pos: "type", ","s

deriving (Show)

data Components = Selector UninstOpId Partiality Type SeparatorKind Pos

-- pos ",", ":" or ":?"

| NoSelector Type

| NestedComponents [Components] [Pos]

-- pos : "(", ";"s, ")"

deriving (Show)

data Quantifier = Universal | Existential | Unique

deriving (Show, Eq, Ord)

data TypeQual = OfType | AsType | InType deriving (Show, Eq, Ord)

data BracketKind = Parens | Squares | Braces deriving (Show, Eq, Ord)

getBrackets :: BracketKind -> (String, String)

getBrackets b = case b of

Parens -> ("(", ")")

Squares -> ("[", "]")

Braces -> ("{", "}")

data LogOp = NotOp | AndOp | OrOp | ImplOp | EquivOp deriving (Show, Eq, Ord)

data EqOp = EqualOp | ExEqualOp deriving (Show, Eq, Ord)

-- proper formulae only exist after static analysis

data Formula = TermFormula Term

| ConnectFormula LogOp [Formula] [Pos]

-- pos not, "/\", "\/", impl, "<=>"

| EqFormula EqOp Term Term [Pos]

-- pos "=", "=e="

| DefFormula Term [Pos]

-- pos "def"

| QuantifiedFormula Quantifier [VarDecl] Formula [Pos]

-- pos quantifier, ";"s, dot

| PolyFormula [TypeArg] Formula [Pos]

-- pos "forall", ";"s, dot

deriving (Show)

-- parse quantified formulae as terms first

-- eases also parsing of formulae in parenthesis

data Term = CondTerm Term Formula Term [Pos]

-- pos "when", "else" (or if-then-else)

| QualVar Var Type [Pos]

-- pos "(", "var", ":", ")"

| QualOp InstOpId TypeScheme [Pos]

-- pos "(", "op", ":", ")"

| ApplTerm Term Term [Pos] -- analysed

-- pos?

| TupleTerm [Term] [Pos]

-- pos "(", ","s, ")"

| TypedTerm Term TypeQual Type [Pos]

-- pos ":", "as" or "in"

| QuantifiedTerm Quantifier [GenVarDecl] Term [Pos]

-- pos quantifier, ";"s, dot

-- only "forall" may have a TypeVarDecl

| LambdaTerm [Pattern] Partiality Term [Pos]

-- pos "\", dot (plus "!")

| CaseTerm Term [ProgEq] [Pos]

-- pos "case", "of", "|"s

| LetTerm [ProgEq] Term [Pos]

-- pos "where", ";"s

| TermToken Token

| MixfixTerm [Term]

| BracketTerm BracketKind [Term] [Pos]

-- pos brackets, ","s

deriving (Show)

data Pattern = PatternVars [VarDecl] [Pos]

-- pos ";"s

| PatternConstr InstOpId TypeScheme [Pattern] [Pos]

-- constructor or toplevel operation applied to arguments

-- pos "("s, ")"s

| PatternToken Token

| BracketPattern BracketKind [Pattern] [Pos]

-- pos brackets, ";"s, ","s

| TuplePattern [Pattern] [Pos]

-- pos ","s

| MixfixPattern [Pattern] -- or HO-Pattern

| TypedPattern Pattern Type [Pos] -- pos ":"

| AsPattern Pattern Pattern [Pos]

-- pos "@"

deriving (Show)

data ProgEq = ProgEq Pattern Term Pos deriving (Show)

-- pos "=" (or "->" following case-of)

-- ----------------------------------------------------------------------------

-- (type) var decls

-- ----------------------------------------------------------------------------

data SeparatorKind = Comma | Other deriving (Show)

data VarDecl = VarDecl Var Type SeparatorKind [Pos] deriving (Show)

-- pos "," or ":"

data TypeArg = TypeArg TypeId Kind SeparatorKind [Pos]

-- pos "," or ":" ("+" or "-" pos is moved to ExtClass)

deriving (Show)

data GenVarDecl = GenVarDecl VarDecl

| GenTypeVarDecl TypeArg

deriving (Show, Eq)

-- ----------------------------------------------------------------------------

-- class

-- ----------------------------------------------------------------------------

data Variance = CoVar | ContraVar | InVar deriving (Show, Eq, Ord)

data Kind = ExtClass Class Variance [Pos]

-- pos "+" or "-"

| KindAppl Kind Kind [Pos]

-- pos "->"

deriving (Show)

data Class = Downset Type -- not parsed directly

| Intersection { iclass :: Set ClassId, classPos :: [Pos] }

-- pos "(", ","s, ")"

deriving (Show)

universe :: Class

universe = Intersection empty []

star :: Kind

star = ExtClass universe InVar []

-- ----------------------------------------------------------------------------

-- op names

-- ----------------------------------------------------------------------------

data OpId = OpId UninstOpId [TypeArg] [Pos] deriving (Show, Eq)

-- pos "[", ";"s, "]"

data InstOpId = InstOpId UninstOpId [Type] [Pos] deriving (Show, Eq)

-- ----------------------------------------------------------------------------

-- ids

-- ----------------------------------------------------------------------------

type TypeId = Id

type UninstOpId = Id

type Var = Id

type ClassId = Id -- TOKEN-ID (one token with compound list, like CASL sorts)

-- ----------------------------------------------------------------------------

-- equality instances while ignoring positions

-- ----------------------------------------------------------------------------

instance Eq Class where

Intersection i1 _ == Intersection i2 _ = i1 == i2

Downset t1 == Downset t2 = t1 == t2

_ == _ = False

instance Eq Kind where

ExtClass c1 v1 _ == ExtClass c2 v2 _ = (c1, v1) == (c2, v2)

KindAppl p1 c1 _ == KindAppl p2 c2 _ = (p1, c1) == (p2, c2)

_ == _ = False

instance Eq Type where

TypeName i1 k1 v1 == TypeName i2 k2 v2 = (i1, k1, v1) == (i2, k2, v2)

TypeAppl f1 a1 == TypeAppl f2 a2 = (f1, a1) == (f2, a2)

TypeToken t1 == TypeToken t2 = t1 == t2

BracketType b1 l1 _ == BracketType b2 l2 _ = (b1, l1) == (b2, l2)

KindedType t1 k1 _ == KindedType t2 k2 _ = (t1, k1) == (t2, k2)

MixfixType l1 == MixfixType l2 = l1 == l2

LazyType t1 _ == LazyType t2 _ = t1 == t2

ProductType l1 _ == ProductType l2 _ = l1 == l2

FunType f1 a1 g1 _ == FunType f2 a2 g2 _ = (f1, a1, g1) == (f2, a2, g2)

_ == _ = False

instance Eq TypeArg where

TypeArg i1 k1 _ _ == TypeArg i2 k2 _ _ = (i1, k1) == (i2, k2)

-- this is strict syntactic equality

-- unification only captures analysed types and ignores lazy types!

instance Eq TypeScheme where

TypeScheme v1 t1 _ == TypeScheme v2 t2 _ = (v1, t1) == (v2, t2)

instance Eq VarDecl where

VarDecl v1 t1 _ _ == VarDecl v2 t2 _ _ = (v1, t1) == (v2, t2)

instance Eq Formula where

TermFormula t1 == TermFormula t2 = t1 == t2

ConnectFormula o1 l1 _ == ConnectFormula o2 l2 _ = (o1, l1) == (o2, l2)

EqFormula e1 s1 t1 _ == EqFormula e2 s2 t2 _ =

e1 == e2 && ((s1, t1) == (s2, t2) || (t1, s1) == (s2, t2))

DefFormula t1 _ == DefFormula t2 _ = t1 == t2

QuantifiedFormula q1 v1 f1 _ == QuantifiedFormula q2 v2 f2 _ =

(q1, v1, f1) == (q2, v2, f2)

PolyFormula a1 f1 _ == PolyFormula a2 f2 _ = (a1, f1) == (a2, f2)

_ == _ = False

instance Eq Term where

CondTerm s1 f1 t1 _ == CondTerm s2 f2 t2 _ = (s1, f1, t1) == (s2, f2, t2)

QualVar v1 t1 _ == QualVar v2 t2 _ = (v1, t1) == (v2, t2)

QualOp i1 s1 _ == QualOp i2 s2 _ = (i1, s1) == (i2, s2)

ApplTerm s1 t1 _ == ApplTerm s2 t2 _ = (s1, t1) == (s2, t2)

TupleTerm l1 _ == TupleTerm l2 _ = l1 == l2

TypedTerm s1 q1 t1 _ == TypedTerm s2 q2 t2 _ = (q1, t1, s1) == (q2, t2, s2)

QuantifiedTerm q1 v1 t1 _ == QuantifiedTerm q2 v2 t2 _ =

(q1, v1, t1) == (q2, v2, t2)

LambdaTerm v1 p1 t1 _ == LambdaTerm v2 p2 t2 _ =

(p1, v1, t1) == (p2, v2, t2)

CaseTerm t1 e1 _ == CaseTerm t2 e2 _ = (t1, e1) == (t2, e2)

LetTerm e1 t1 _ == LetTerm e2 t2 _ = (t1, e1) == (t2, e2)

TermToken t1 == TermToken t2 = t1 == t2

MixfixTerm l1 == MixfixTerm l2 = l1 == l2

BracketTerm b1 l1 _ == BracketTerm b2 l2 _ = (b1, l1) == (b2, l2)

_ == _ = False

instance Eq Pattern where

PatternVars l1 _ == PatternVars l2 _ = l1 == l2

PatternConstr i1 t1 l1 _ == PatternConstr i2 t2 l2 _ =

(i1, l1, t1) == (i2, l2, t2)

PatternToken t1 == PatternToken t2 = t1 == t2

BracketPattern b1 l1 _ == BracketPattern b2 l2 _ = (b1, l1) == (b2, l2)

TuplePattern l1 _ == TuplePattern l2 _ = l1 == l2

MixfixPattern l1 == MixfixPattern l2 = l1 == l2

TypedPattern p1 t1 _ == TypedPattern p2 t2 _ = (p1, t1) == (p2, t2)

AsPattern p1 q1 _ == AsPattern p2 q2 _ = (p1, q1) == (p2, q2)

_ == _ = False

instance Eq ProgEq where

ProgEq p1 t1 _ == ProgEq p2 t2 _ = (p1, t1) == (p2, t2)

instance Eq OpAttr where

BinOpAttr b1 _ == BinOpAttr b2 _ = b1 == b2

UnitOpAttr t1 _ == UnitOpAttr t2 _= t1 == t2

_ == _ = False

instance Eq Alternative where

Constructor i1 l1 p1 _ == Constructor i2 l2 p2 _ =

(i1, l1, p1) == (i2, l2, p2)

Subtype t1 _ == Subtype t2 _ = t1 == t2

_ == _ = False

instance Eq Components where

Selector i1 p1 t1 _ _ == Selector i2 p2 t2 _ _ =

(i1, t1, p1) == (i2, t2, p2)

NoSelector t1 == NoSelector t2 = t1 == t2

NestedComponents l1 _ == NestedComponents l2 _ = l1 == l2

_ == _ = False