{-# LANGUAGE MultiParamTypeClasses, FunctionalDependencies, DeriveDataTypeable

, FlexibleInstances, UndecidableInstances, ExistentialQuantification #-}

{- |

Module : ./Logic/Logic.hs

Description : central interface (type class) for logics in Hets

Copyright : (c) Till Mossakowski, and Uni Bremen 2002-2006

License : GPLv2 or higher, see LICENSE.txt

Maintainer : till@informatik.uni-bremen.de

Stability : provisional

Portability : non-portable (various -fglasgow-exts extensions)

Central interface (type class) for logics in Hets

Provides data structures for logics (with symbols). Logics are

a type class with an /identity type/ (usually interpreted

by a singleton set) which serves to treat logics as

data. All the functions in the type class take the

identity as first argument in order to determine the logic.

For logic (co)morphisms see "Logic.Comorphism"

This module uses multiparameter type classes with functional dependencies

(<http://www.haskell.org/haskellwiki/Functional_dependencies>)

for defining an interface for the notion of logic. Multiparameter type

classes are needed because a logic consists of a collection of types,

together with operations on these. Functional dependencies

are needed because no operation will involve all types of

the multiparameter type class; hence we need a method to derive

the missing types. We chose an easy way: for each logic, we

introduce a new singleton type that is the name, or constitutes the identity

of the logic. All other types of the multiparameter type class

depend on this /identity constituting/ type, and all operations take

the 'identity constituting' type as first arguments. The value

of the argument of the /identity constituting/ type is irrelevant

(note that there is only one value of such a type anyway).

Note that we tend to use @lid@ both for the /identity type/

of a logic, as well as for its unique inhabitant, i.e. @lid :: lid@.

The other types involved in the definition of logic are as follows:

* sign: signatures, that is, contexts, or non-logical vocabularies,

typically consisting of a set of declared sorts, predicates,

function symbols, propositional letters etc., together with their

typing.

* sentence: logical formulas.

* basic_spec: abstract syntax of basic specifications. The latter are

human-readable presentations of a signature together with some sentences.

* symbol: symbols that may occur in a signature, fully qualified

with their types

* raw_symbol: symbols that may occur in a signature, possibly not

or partially qualified

* morphism: maps between signatures (typically preserving the structure).

* symb_items: abstract syntax of symbol lists, used for declaring some

symbols of a signature as hidden.

* symb_map_items: abstract syntax of symbol maps, i.e. human-readable

presentations of signature morphisms.

* sublogics: sublogics of the given logic. This type might be a

record of Boolean flags, indicating whether some feature is

present in the sublogi of not.

* proof_tree: proof trees.

References:

J. A. Goguen and R. M. Burstall

Institutions: Abstract Model Theory for Specification and

Programming

JACM 39, p. 95-146, 1992

(general notion of logic - model theory only)

J. Meseguer

General Logics

Logic Colloquium 87, p. 275-329, North Holland, 1989

(general notion of logic - also proof theory;

notion of logic representation, called map there)

T. Mossakowski:

Specification in an arbitrary institution with symbols

14th WADT 1999, LNCS 1827, p. 252-270

(treatment of symbols and raw symbols, see also CASL semantics

in the CASL reference manual)

T. Mossakowski, B. Klin:

Institution Independent Static Analysis for CASL

15h WADT 2001, LNCS 2267, p. 221-237, 2002.

(what is needed for static anaylsis)

S. Autexier and T. Mossakowski

Integrating HOLCASL into the Development Graph Manager MAYA

FroCoS 2002, LNCS 2309, p. 2-17, 2002.

(interface to provers)

CoFI (ed.): CASL Reference Manual, LNCS 2960, Springer Verlag, 2004.

(static semantics of CASL structured and architectural specifications)

T. Mossakowski

Heterogeneous specification and the heterogeneous tool set

Habilitation thesis, University of Bremen, 2005

(the general picture of heterogeneous specification)

-}

module Logic.Logic where

import Logic.Prover (Prover, ConsChecker, Theory (..))

import Logic.KnownIris

import Taxonomy.MMiSSOntology (MMiSSOntology)

import ATC.DefaultMorphism ()

import qualified OMDoc.DataTypes as OMDoc

( TCElement

, TCorOMElement

, NameMap

, SigMap

, SigMapI

, OMCD

, OmdADT)

import ATerm.Lib (ShATermConvertible)

import Common.AS_Annotation

import Common.Amalgamate

import Common.AnnoState

import Common.Consistency

import Common.DefaultMorphism

import Common.Doc

import Common.DocUtils

import Common.ExtSign

import Common.GlobalAnnotations

import Common.Id

import Common.IRI

import Common.Item

import Common.Json

import Common.Lib.Graph

import Common.LibName

import Common.Prec (PrecMap)

import Common.Result

import Common.Taxonomy

import Common.ToXml

import qualified Data.Set as Set

import qualified Data.Map as Map

import Data.Monoid

import Data.Ord

import Data.Typeable

import Control.Monad (unless)

-- | Stability of logic implementations

data Stability = Stable | Testing | Unstable | Experimental

deriving (Eq, Show)

-- | shortcut for class constraints

class ShATermConvertible a => Convertible a

instance ShATermConvertible a => Convertible a

-- | shortcut for class constraints

class (Pretty a, Convertible a) => PrintTypeConv a

instance (Pretty a, Convertible a) => PrintTypeConv a

-- | shortcut for class constraints with equality

class (Eq a, PrintTypeConv a) => EqPrintTypeConv a

instance (Eq a, PrintTypeConv a) => EqPrintTypeConv a

-- | maps from a to a

type EndoMap a = Map.Map a a

{- | the name of a logic.

Define instances like "data CASL = CASL deriving (Show, Typeable, Data)"

-}

class Show lid => Language lid where

language_name :: lid -> String

language_name = show

description :: lid -> String

-- default implementation

description _ = ""

{- | Categories are given as usual: objects, morphisms, identities,

domain, codomain and composition. The type id is the name, or

the identity of the category. It is an argument to all functions

of the type class, serving disambiguation among instances

(via the functional dependency lid -> object morphism).

The types for objects and morphisms may be restricted to

subtypes, using legal_obj and legal_mor. For example, for the

category of sets and injective maps, legal_mor would check

injectivity. Since Eq is a subclass of Category, it is also

possible to impose a quotient on the types for objects and morphisms.

Require Ord instances only for efficiency, i.e. in sets or maps.

-}

class (Ord object, Ord morphism)

=> Category object morphism | morphism -> object where

-- | identity morphisms

ide :: object -> morphism

{- | composition, in diagrammatic order,

if intermediate objects are equal (not checked!) -}

composeMorphisms :: morphism -> morphism -> Result morphism

-- | domain and codomain of morphisms

dom, cod :: morphism -> object

-- | the inverse of a morphism

inverse :: morphism -> Result morphism

inverse _ = fail "Logic.Logic.Category.inverse not implemented"

-- | test if the signature morphism an inclusion

isInclusion :: morphism -> Bool

isInclusion _ = False -- in general no inclusion

-- | is a value of type morphism denoting a legal morphism?

legal_mor :: morphism -> Result ()

legal_mor _ = return ()

-- | test if the signature morphism is the identity

isIdentity :: Category object morphism => morphism -> Bool

isIdentity m = isInclusion m && dom m == cod m

comp :: Category object morphism => morphism -> morphism -> Result morphism

comp m1 m2 = if cod m1 == dom m2 then composeMorphisms m1 m2 else

fail "target of first and source of second morphism are different"

instance Ord sign => Category sign (DefaultMorphism sign) where

dom = domOfDefaultMorphism

cod = codOfDefaultMorphism

ide = ideOfDefaultMorphism

isInclusion = const True

composeMorphisms = compOfDefaultMorphism

{- | Abstract syntax, parsing and printing.

There are three types for abstract syntax:

basic_spec is for basic specifications (see CASL RefMan p. 5ff.),

symb_items is for symbol lists (see CASL RefMan p. 35ff.),

symb_map_items is for symbol maps (see CASL RefMan p. 35ff.).

-}

class (Language lid, PrintTypeConv basic_spec, GetRange basic_spec,

Monoid basic_spec, -- for joining converted signatures and sentences

Pretty symbol,

EqPrintTypeConv symb_items,

EqPrintTypeConv symb_map_items)

=> Syntax lid basic_spec symbol symb_items symb_map_items

| lid -> basic_spec symbol symb_items symb_map_items

where

-- | parsers and printers

parsersAndPrinters :: lid -> Map.Map String

(PrefixMap -> AParser st basic_spec, basic_spec -> Doc)

parsersAndPrinters li = case parse_basic_spec li of

Nothing -> Map.empty

Just p -> makeDefault (p, pretty)

-- | parser for basic specifications

parse_basic_spec :: lid -> Maybe (PrefixMap -> AParser st basic_spec)

-- | parser for a single symbol returned as list

parseSingleSymbItem :: lid -> Maybe (AParser st symb_items)

-- | parser for symbol lists

parse_symb_items :: lid -> Maybe (AParser st symb_items)

-- | parser for symbol maps

parse_symb_map_items :: lid -> Maybe (AParser st symb_map_items)

toItem :: lid -> basic_spec -> Item

symb_items_name :: lid -> symb_items -> [String]

-- default implementations

parse_basic_spec _ = Nothing

parseSingleSymbItem _ = Nothing

parse_symb_items _ = Nothing

parse_symb_map_items _ = Nothing

symb_items_name _ _ = [""]

toItem _ bs = mkFlatItem ("Basicspec", pretty bs) $ getRangeSpan bs

basicSpecParser :: Syntax lid basic_spec symbol symb_items symb_map_items

=> Maybe IRI -> lid -> Maybe (PrefixMap -> AParser st basic_spec)

basicSpecParser sm = fmap fst . parserAndPrinter sm

basicSpecPrinter :: Syntax lid basic_spec symbol symb_items symb_map_items

=> Maybe IRI -> lid -> Maybe (basic_spec -> Doc)

basicSpecPrinter sm = fmap snd . parserAndPrinter sm

basicSpecSyntaxes :: Syntax lid basic_spec symbol symb_items symb_map_items

=> lid -> [String]

basicSpecSyntaxes = Map.keys . serializations . language_name

parserAndPrinter :: Syntax lid basic_spec symbol symb_items symb_map_items

=> Maybe IRI -> lid -> Maybe (PrefixMap -> AParser st basic_spec,

basic_spec -> Doc)

parserAndPrinter sm l = lookupDefault l sm (parsersAndPrinters l)

-- | function to lookup parser or printer

lookupDefault :: Syntax lid basic_spec symbol symb_items symb_map_items

=> lid -> Maybe IRI -> Map.Map String b -> Maybe b

lookupDefault l im m = case im of

Just i -> do

let s = iriToStringUnsecure i

ser <- if isSimple i then return s

else lookupSerialization (language_name l) s

Map.lookup ser m

Nothing -> if Map.size m == 1 then Just $ head $ Map.elems m

else Map.lookup "" m

showSyntax :: Language lid => lid -> Maybe IRI -> String

showSyntax lid = (("logic " ++ language_name lid) ++)

. maybe "" ((" serialization " ++) . iriToStringUnsecure)

makeDefault :: b -> Map.Map String b

makeDefault = Map.singleton ""

addSyntax :: String -> b -> Map.Map String b -> Map.Map String b

addSyntax = Map.insert

{- | Sentences, provers and symbols.

Provers capture the entailment relation between sets of sentences

and sentences. They may return proof trees witnessing proofs.

Signatures are equipped with underlying sets of symbols

(such that the category of signatures becomes a concrete category),

see CASL RefMan p. 191ff.

-}

class (Language lid, Category sign morphism, Ord sentence,

Ord symbol, -- for efficient lookup

PrintTypeConv sign, PrintTypeConv morphism,

GetRange sentence, GetRange symbol,

PrintTypeConv sentence, ToJson sentence,

ToXml sentence, PrintTypeConv symbol)

=> Sentences lid sentence sign morphism symbol

| lid -> sentence sign morphism symbol

where

-- | sentence translation along a signature morphism

map_sen :: lid -> morphism -> sentence -> Result sentence

map_sen l _ _ = statFail l "map_sen"

-- | simplification of sentences (leave out qualifications)

simplify_sen :: lid -> sign -> sentence -> sentence

simplify_sen _ _ = id

-- | negation of a sentence for disproving

negation :: lid -> sentence -> Maybe sentence

negation _ _ = Nothing

-- | modified signature printing when followed by sentences

print_sign :: lid -> sign -> Doc

print_sign _ = pretty

-- | print a sentence with comments

print_named :: lid -> Named sentence -> Doc

print_named _ = printAnnoted (addBullet . pretty) . fromLabelledSen

-- --------------------- symbols ---------------------------

-- | dependency ordered list of symbol sets for a signature

sym_of :: lid -> sign -> [Set.Set symbol]

sym_of _ _ = []

{- | Dependency ordered list of a bigger symbol set for a

signature. This function contains more symbols than those being subject

to hiding and renaming (given by 'sym_of') to better represent a

signature as a set of symbols given within xml files. At least for CASL

additional symbols for (direct) subsorts will be created, but note, that

no symbol for a partial function will be created, if the signature

contains this function as total, although a signature with just that

partial function would be a subsignature. This function is supposed to

work over partial signatures created by 'signatureDiff'. -}

mostSymsOf :: lid -> sign -> [symbol]

mostSymsOf l = concatMap Set.toList . sym_of l

-- | symbol map for a signature morphism

symmap_of :: lid -> morphism -> EndoMap symbol

symmap_of _ _ = Map.empty

-- | symbols have a name, see CASL RefMan p. 192

sym_name :: lid -> symbol -> Id

sym_name l _ = statError l "sym_name"

-- | some symbols have a label for better readability

sym_label :: lid -> symbol -> Maybe String

sym_label _ _ = Nothing

-- | the fully qualified name for XML output (i.e. of OWL2)

fullSymName :: lid -> symbol -> String

fullSymName l = show . sym_name l

-- | a logic dependent kind of a symbol

symKind :: lid -> symbol -> String

symKind _ _ = ""

-- | the symbols occuring in a sentence (any order)

symsOfSen :: lid -> sign -> sentence -> [symbol]

symsOfSen _ _ _ = []

-- | combine two symbols into another one

pair_symbols :: lid -> symbol -> symbol -> Result symbol

pair_symbols lid _ _ = error $ "pair_symbols nyi for logic " ++ show lid

-- | makes a singleton list from the given value

singletonList :: a -> [a]

singletonList x = [x]

-- | set of symbols for a signature

symset_of :: forall lid sentence sign morphism symbol .

Sentences lid sentence sign morphism symbol =>

lid -> sign -> Set.Set symbol

symset_of lid sig = Set.unions $ sym_of lid sig

-- | dependency ordered list of symbols for a signature

symlist_of :: forall lid sentence sign morphism symbol .

Sentences lid sentence sign morphism symbol =>

lid -> sign -> [symbol]

symlist_of lid sig = concatMap Set.toList $ sym_of lid sig

-- | a dummy static analysis function to allow type checking *.inline.hs files

inlineAxioms :: StaticAnalysis lid

basic_spec sentence symb_items symb_map_items

sign morphism symbol raw_symbol => lid -> String -> [Named sentence]

inlineAxioms _ _ = error "inlineAxioms"

-- | fail function for static analysis

statFail :: (Language lid, Monad m) => lid -> String -> m a

statFail lid = fail . statErrMsg lid

statError :: Language lid => lid -> String -> a

statError lid = error . statErrMsg lid

-- | error message for static analysis

statErrMsg :: Language lid => lid -> String -> String

statErrMsg lid str =

"Logic." ++ str ++ " not implemented for: " ++ language_name lid

{- static analysis

This type class provides the data needed for an institution with symbols,

as explained in the structured specification semantics in the CASL

reference manual, chapter III.4.

The static analysis computes signatures from basic specifications,

and signature morphisms from symbol lists and symbol maps. The latter

needs an intermediate stage, so-called raw symbols, which are possibly

unqualified symbols. Normal symbols are always fully qualified.

In the CASL reference manual, our symbols are called "signature symbols",

and our raw symbols are called "symbols". (Terminology should be adapted.)

-}

data REL_REF = Subs | IsSubs | Equiv | Incomp

| HasInst | InstOf | DefRel

| RelName IRI

deriving (Show, Eq)

class ( Syntax lid basic_spec symbol symb_items symb_map_items

, Sentences lid sentence sign morphism symbol

, GetRange raw_symbol, Ord raw_symbol, Pretty raw_symbol

, Typeable raw_symbol)

=> StaticAnalysis lid

basic_spec sentence symb_items symb_map_items

sign morphism symbol raw_symbol

| lid -> basic_spec sentence symb_items symb_map_items

sign morphism symbol raw_symbol

where

{- | static analysis of basic specifications and symbol maps.

The resulting bspec has analyzed axioms in it.

The resulting sign is an extension of the input sign

plus newly declared or redeclared symbols.

See CASL RefMan p. 138 ff. -}

basic_analysis :: lid

-> Maybe ((basic_spec, sign, GlobalAnnos)

-> Result (basic_spec, ExtSign sign symbol, [Named sentence]))

basic_analysis _ = Nothing

-- | Analysis of just sentences

sen_analysis :: lid

-> Maybe ((basic_spec, sign, sentence) -> Result sentence)

sen_analysis _ = Nothing

-- | a basic analysis with additional arguments

extBasicAnalysis :: lid -> IRI -> LibName

-> basic_spec -> sign -> GlobalAnnos

-> Result (basic_spec, ExtSign sign symbol, [Named sentence])

extBasicAnalysis l _ _ b s g = case basic_analysis l of

Nothing -> statFail l "basic_analysis"

Just ba -> ba (b, s, g)

-- | static analysis of symbol maps, see CASL RefMan p. 222f.

stat_symb_map_items :: lid -> sign -> Maybe sign -> [symb_map_items]

-> Result (EndoMap raw_symbol)

stat_symb_map_items l _ _ _ = statFail l "stat_symb_map_items"

-- | static analysis of symbol lists, see CASL RefMan p. 221f.

stat_symb_items :: lid -> sign -> [symb_items] -> Result [raw_symbol]

stat_symb_items l _ _ = statFail l "stat_symb_items"

-- | convert a theory to basic specs for different serializations

convertTheory :: lid -> Maybe ((sign, [Named sentence]) -> basic_spec)

convertTheory _ = Nothing

{- ----------------------- amalgamation ---------------------------

Computation of colimits of signature diagram.

Indeed, it suffices to compute a cocone that is weakly amalgamable

see Till Mossakowski,

Heterogeneous specification and the heterogeneous tool set

p. 25ff. -}

-- | architectural sharing analysis, see CASL RefMan p. 247ff.

ensures_amalgamability :: lid ->

([CASLAmalgOpt], -- the program options

Gr sign (Int, morphism), -- the diagram to be analyzed

[(Int, morphism)], -- the sink

Gr String String) -- the descriptions of nodes and edges

-> Result Amalgamates

ensures_amalgamability l _ = warning Amalgamates

("amalgamability test not implemented for logic " ++ show l)

nullRange

-- | quotient term algebra for normalization of freeness

quotient_term_algebra :: lid -- the logic

-> morphism -- sigma : Sigma -> SigmaM

-> [Named sentence] -- Th(M)

-> Result

(sign, -- SigmaK

[Named sentence] -- Ax(K)

)

quotient_term_algebra l _ _ = statFail l "quotient_term_algebra"

-- | signature colimits

signature_colimit :: lid -> Gr sign (Int, morphism)

-> Result (sign, Map.Map Int morphism)

signature_colimit l _ = statFail l "signature_colimit"

{- | rename and qualify the symbols considering a united incoming

morphisms, code out overloading and

create sentences for the overloading relation -}

qualify :: lid -> SIMPLE_ID -> LibName -> morphism -> sign

-> Result (morphism, [Named sentence])

qualify l _ _ _ _ = statFail l "qualify"

-- ------------------ symbols and raw symbols ---------------------

{- | Construe a symbol, like f:->t, as a raw symbol.

This is a one-sided inverse to the function SymSySigSym

in the CASL RefMan p. 192. -}

symbol_to_raw :: lid -> symbol -> raw_symbol

symbol_to_raw l _ = statError l "symbol_to_raw"

{- | Construe an identifier, like f, as a raw symbol.

See CASL RefMan p. 192, function IDAsSym -}

id_to_raw :: lid -> Id -> raw_symbol

id_to_raw l _ = statError l "id_to_raw"

{- | Check whether a symbol matches a raw symbol, for

example, f:s->t matches f. See CASL RefMan p. 192 -}

matches :: lid -> symbol -> raw_symbol -> Bool

matches _ _ _ = True

-- ------------- operations on signatures and morphisms -----------

-- | the empty (initial) signature, see CASL RefMan p. 193

empty_signature :: lid -> sign

-- | adds a symbol to a given signature

add_symb_to_sign :: lid -> sign -> symbol -> Result sign

add_symb_to_sign l _ _ = statFail l "add_symb_to_sign"

-- | union of signatures, see CASL RefMan p. 193

signature_union :: lid -> sign -> sign -> Result sign

signature_union l _ _ = statFail l "signature_union"

-- | difference of signatures resulting in unclosed pre-signatures

signatureDiff :: lid -> sign -> sign -> Result sign

signatureDiff l _ _ = statFail l "signatureDiff"

-- | intersection of signatures

intersection :: lid -> sign -> sign -> Result sign

intersection l _ _ = statFail l "intersection"

-- | final union of signatures, see CASL RefMan p. 194

final_union :: lid -> sign -> sign -> Result sign

final_union l _ _ = statFail l "final_union"

-- | union of signature morphims, see CASL RefMan p. 196

morphism_union :: lid -> morphism -> morphism -> Result morphism

morphism_union l _ _ = statFail l "morphism_union"

-- | subsignatures, see CASL RefMan p. 194

is_subsig :: lid -> sign -> sign -> Bool

is_subsig _ _ _ = False

{- | construct the inclusion morphisms between subsignatures,

see CASL RefMan p. 194 -}

subsig_inclusion :: lid -> sign -> sign -> Result morphism

subsig_inclusion l _ _ = statFail l "subsig_inclusion"

{- | the signature (co)generated by a set of symbols in another

signature is the smallest (largest) signature containing

(excluding) the set of symbols. Needed for revealing and

hiding, see CASL RefMan p. 197ff. -}

generated_sign, cogenerated_sign ::

lid -> Set.Set symbol -> sign -> Result morphism

generated_sign l _ _ = statFail l "generated_sign"

cogenerated_sign l _ _ = statFail l "cogenerated_sign"

{- | Induce a signature morphism from a source signature and

a raw symbol map. Needed for translation (SP with SM).

See CASL RefMan p. 198 -}

induced_from_morphism ::

lid -> EndoMap raw_symbol -> sign -> Result morphism

induced_from_morphism l _ _ = statFail l "induced_from_morphism"

{- | Induce a signature morphism between two signatures by a

raw symbol map. Needed for instantiation and views.

See CASL RefMan p. 198f. -}

induced_from_to_morphism ::

lid -> EndoMap raw_symbol -> ExtSign sign symbol

-> ExtSign sign symbol -> Result morphism

induced_from_to_morphism l rm (ExtSign sig _) (ExtSign tar _) = do

mor <- induced_from_morphism l rm sig

inclusion l (cod mor) tar >>= composeMorphisms mor

{- | Check whether a signature morphism is transportable.

See CASL RefMan p. 304f. -}

is_transportable :: lid -> morphism -> Bool

is_transportable _ _ = False

{- | Check whether the underlying symbol map of a signature morphism

is injective -}

is_injective :: lid -> morphism -> Bool

is_injective _ _ = False

-- | generate an ontological taxonomy, if this makes sense

theory_to_taxonomy :: lid

-> TaxoGraphKind

-> MMiSSOntology

-> sign -> [Named sentence]

-> Result MMiSSOntology

theory_to_taxonomy l _ _ _ _ = statFail l "theory_to_taxonomy"

-- | create a theory from a correspondence

corresp2th :: lid

-> String -- the name of the alignment

-> Bool -- flag: should we disambiguate in the bridge

-> sign

-> sign

-> [symb_items]

-> [symb_items]

-> EndoMap symbol

-> EndoMap symbol

-> REL_REF

-> Result (sign, [Named sentence], sign, sign,

EndoMap symbol, EndoMap symbol)

corresp2th _ _ _ _ _ _ _ _ _ = error "c2th nyi"

-- | create a co-span fragment from an equivalence

equiv2cospan :: lid -> sign -> sign -> [symb_items] -> [symb_items]

-> Result (sign, sign, sign, EndoMap symbol, EndoMap symbol)

equiv2cospan _ _ _ _ _ = error "equiv2cospan nyi"

-- | extract the module

extract_module :: lid -> [IRI] -> (sign, [Named sentence])

-> Result (sign, [Named sentence])

extract_module _ _ = return

-- | print a whole theory

printTheory :: StaticAnalysis lid basic_spec sentence symb_items symb_map_items

sign morphism symbol raw_symbol

=> Maybe IRI -> lid -> (sign, [Named sentence]) -> Doc

printTheory sm lid th@(s, l) = case

(convertTheory lid, basicSpecPrinter sm lid) of

(Just c, Just p) -> p (c th)

_ -> print_sign lid s $++$ vsep (map (print_named lid) l)

-- | guarded inclusion

inclusion :: StaticAnalysis lid basic_spec sentence symb_items symb_map_items

sign morphism symbol raw_symbol

=> lid -> sign -> sign -> Result morphism

inclusion l s1 s2 = if is_subsig l s1 s2 then subsig_inclusion l s1 s2

else fail $ show $ fsep

[ text (language_name l)

, text "symbol(s) missing in target:"

, pretty $ Set.difference (symset_of l s1) $ symset_of l s2 ]

{- | semi lattices with top (needed for sublogics). Note that `Ord` is

only used for efficiency and is not related to the /partial/ order given

by the lattice. Only `Eq` is used to define `isSubElem` -}

class (Ord l, Show l) => SemiLatticeWithTop l where

lub :: l -> l -> l -- least upper bound or "join"

top :: l

instance SemiLatticeWithTop () where

lub _ _ = ()

top = ()

-- | less or equal for semi lattices

isSubElem :: SemiLatticeWithTop l => l -> l -> Bool

isSubElem a b = lub a b == b

-- | class providing the minimal sublogic of an item

class MinSublogic sublogic item where

minSublogic :: item -> sublogic

-- | a default instance for no sublogics

instance MinSublogic () a where

minSublogic _ = ()

-- | class providing also the projection of an item to a sublogic

class MinSublogic sublogic item => ProjectSublogic sublogic item where

projectSublogic :: sublogic -> item -> item

-- | a default instance for no sublogics

instance ProjectSublogic () b where

projectSublogic _ = id

-- | like ProjectSublogic, but providing a partial projection

class MinSublogic sublogic item => ProjectSublogicM sublogic item where

projectSublogicM :: sublogic -> item -> Maybe item

-- | a default instance for no sublogics

instance ProjectSublogicM () b where

projectSublogicM _ = Just

-- | a class for providing a sublogi name

class SublogicName l where

sublogicName :: l -> String

instance SublogicName () where

sublogicName () = ""

-- | a type for syntax information eventually stored in the signature

type SyntaxTable = (PrecMap, AssocMap)

{- Type class logic. The central type class of Hets, providing the

interface for logics. This type class is instantiated for many logics,

and it is used for the logic independent parts of Hets.

It hence provides an abstraction barrier between logic specific and

logic indepdendent code.

This type class extends the class StaticAnalysis by a sublogic mechanism.

Sublogics are important since they avoid the need to provide an own

instance of the class logic for each sublogic. Instead, the sublogic

can use the datastructures and operations of the main logic, and

functions are provided to test whether a given item lies within the

sublogic. Also, projection functions from a super-logic to a sublogic

are provided.

-}

class (StaticAnalysis lid

basic_spec sentence symb_items symb_map_items

sign morphism symbol raw_symbol,

SemiLatticeWithTop sublogics,

MinSublogic sublogics sentence,

ProjectSublogic sublogics basic_spec,

ProjectSublogicM sublogics symb_items,

ProjectSublogicM sublogics symb_map_items,

ProjectSublogic sublogics sign,

ProjectSublogic sublogics morphism,

ProjectSublogicM sublogics symbol,

Convertible sublogics,

SublogicName sublogics,

Ord proof_tree, Show proof_tree,

Convertible proof_tree)

=> Logic lid sublogics

basic_spec sentence symb_items symb_map_items

sign morphism symbol raw_symbol proof_tree

| lid -> sublogics

basic_spec sentence symb_items symb_map_items

sign morphism symbol raw_symbol proof_tree

where

-- Parser of sentence (Added for Hybridized logics)

parse_basic_sen :: lid -> Maybe (basic_spec -> AParser st sentence)

parse_basic_sen _ = Nothing

-- | stability of the implementation

stability :: lid -> Stability

stability _ = Experimental

-- | for a process logic, return its data logic

data_logic :: lid -> Maybe AnyLogic

data_logic _ = Nothing

-- | the top sublogic, corresponding to the whole logic

top_sublogic :: lid -> sublogics

top_sublogic _ = top

-- | list all the sublogics of the current logic

all_sublogics :: lid -> [sublogics]

all_sublogics li = [top_sublogic li]

{- a bottom sublogic can be extended along several dimensions

joining all last elements of a dimension should yield the top-sublogic

-}

bottomSublogic :: lid -> Maybe sublogics

bottomSublogic _ = Nothing

sublogicDimensions :: lid -> [[sublogics]]

sublogicDimensions li = [all_sublogics li]

-- | parse sublogic (override more efficiently)

parseSublogic :: lid -> String -> Maybe sublogics

parseSublogic li s = lookup s $ map (\ l -> (sublogicName l, l))

$ all_sublogics li

{- | provide the embedding of a projected signature into the

original signature -}

proj_sublogic_epsilon :: lid -> sublogics -> sign -> morphism

proj_sublogic_epsilon _ _ = ide

-- --------------------- provers ---------------------------

-- | several provers can be provided. See module "Logic.Prover"

provers :: lid -> [Prover sign sentence morphism sublogics proof_tree]

provers _ = []

-- | consistency checkers

cons_checkers :: lid

-> [ConsChecker sign sentence

sublogics morphism proof_tree]

cons_checkers _ = []

-- | conservativity checkers

conservativityCheck :: lid

-> [ConservativityChecker sign sentence morphism]

conservativityCheck _ = []

-- | the empty proof tree

empty_proof_tree :: lid -> proof_tree

empty_proof_tree l = statError l "empty_proof_tree"

-- --------------------- OMDoc ---------------------------

syntaxTable :: lid -> sign -> Maybe SyntaxTable

syntaxTable _ _ = Nothing

omdoc_metatheory :: lid -> Maybe OMDoc.OMCD

{- default implementation, no logic should throw an error here

and the base of omcd should be a parseable URI -}

omdoc_metatheory _ = Nothing

export_symToOmdoc :: lid -> OMDoc.NameMap symbol

-> symbol -> String -> Result OMDoc.TCElement

export_symToOmdoc l _ _ = statFail l "export_symToOmdoc"

export_senToOmdoc :: lid -> OMDoc.NameMap symbol

-> sentence -> Result OMDoc.TCorOMElement

export_senToOmdoc l _ _ = statFail l "export_senToOmdoc"

{- | additional information which has to be exported can be

exported by this function -}

export_theoryToOmdoc :: lid -> OMDoc.SigMap symbol -> sign

-> [Named sentence] -> Result [OMDoc.TCElement]

{- default implementation does no extra export

, sufficient in some cases -}

export_theoryToOmdoc _ _ _ _ = return []

omdocToSym :: lid -> OMDoc.SigMapI symbol -> OMDoc.TCElement

-> String -> Result symbol

omdocToSym l _ _ _ = statFail l "omdocToSym"

omdocToSen :: lid -> OMDoc.SigMapI symbol -> OMDoc.TCElement

-> String -> Result (Maybe (Named sentence))

omdocToSen l _ _ _ = statFail l "omdocToSen"

{- | Algebraic Data Types are imported with this function.

By default the input is returned without changes. -}

addOMadtToTheory :: lid -> OMDoc.SigMapI symbol

-> (sign, [Named sentence]) -> [[OMDoc.OmdADT]]

-> Result (sign, [Named sentence])

-- no logic should throw an error here

addOMadtToTheory l _ t adts = do

unless (null adts) $ warning ()

(concat [ "ADT handling not implemented for logic "

, show l, " but some adts have to be handled" ])

nullRange

return t

{- | additional information which has to be imported can be

imported by this function. By default the input is returned

without changes. -}

addOmdocToTheory :: lid -> OMDoc.SigMapI symbol

-> (sign, [Named sentence]) -> [OMDoc.TCElement]

-> Result (sign, [Named sentence])

-- no logic should throw an error here

addOmdocToTheory _ _ t _ = return t

-- | sublogic of a theory

sublogicOfTheo :: (Logic lid sublogics

basic_spec sentence symb_items symb_map_items

sign morphism symbol raw_symbol proof_tree) =>

lid -> (sign, [sentence]) -> sublogics

sublogicOfTheo _ (sig, axs) =

foldl lub (minSublogic sig) $

map minSublogic axs

{- The class of logics which can be used as logical frameworks, in which object

logics can be specified by the user. Currently the only logics implementing

this class are LF, Maude, and Isabelle, with the latter two only having

dummy implementations.

The function "base_sig" returns the base signature of the framework -

for details see Integrating Logical Frameworks in Hets by M. Codescu et al

(WADT10).

The function "write_logic" constructs the contents of the Logic_L

file, where L is the name of the object logic passed as an argument.

Typically, this file will declare the lid of the object logic L and

instances of the classes Language, Syntax, Sentences, Logic, and

StaticAnalysis. The instance of Category is usually inherited from

the framework itself as the object logic reuses the signatures and

morphisms of the framework.

The function "write_syntax" constructs the contents of the file declaring

the Ltruth morphism (see the reference given above). If proofs and models

are later integrated into Hets, there should be analogous functions

"write_proofs" and "write_models" added, declaring the Lpf and

Lmod morphisms respectively. -}

class Logic lid sublogics basic_spec sentence

symb_items symb_map_items sign

morphism symbol raw_symbol proof_tree

=> LogicalFramework lid sublogics basic_spec sentence

symb_items symb_map_items sign

morphism symbol raw_symbol proof_tree

| lid -> sublogics basic_spec sentence symb_items symb_map_items

sign morphism symbol raw_symbol proof_tree

where

-- | the base signature

base_sig :: lid -> sign

base_sig l = error $ "Function base_sig nyi for logic " ++ shows l "."

{- | generation of the object logic instances

second argument is object logic name -}

write_logic :: lid -> String -> String

write_logic l = error

$ "Function write_logic nyi for logic " ++ shows l "."

{- | generation of the Ltruth morphism declaration

second argument is the object logic name

third argument is the Ltruth morphism -}

write_syntax :: lid -> String -> morphism -> String

write_syntax l = error $

"Function write_syntax nyi for logic " ++ shows l "."

write_proof :: lid -> String -> morphism -> String

write_proof l = error $

"Function write_proof nyi for logic " ++ shows l "."

write_model :: lid -> String -> morphism -> String

write_model l = error $

"Function write_model nyi for logic " ++ shows l "."

read_morphism :: lid -> FilePath -> morphism

read_morphism l _ = error $

"Function read_morphism nyi for logic " ++ shows l "."

write_comorphism :: lid -> String -> String -> String

-> morphism -> morphism -> morphism

-> String

write_comorphism l = error $

"Function write_comorphism nyi for logic " ++ shows l "."

{- --------------------------------------------------------------

Derived functions

-------------------------------------------------------------- -}

-- | the empty theory

emptyTheory :: StaticAnalysis lid

basic_spec sentence symb_items symb_map_items

sign morphism symbol raw_symbol =>

lid -> Theory sign sentence proof_tree

emptyTheory lid = Theory (empty_signature lid) Map.empty

{- --------------------------------------------------------------

Existential type covering any logic

-------------------------------------------------------------- -}

-- | the disjoint union of all logics

data AnyLogic = forall lid sublogics

basic_spec sentence symb_items symb_map_items

sign morphism symbol raw_symbol proof_tree .

Logic lid sublogics

basic_spec sentence symb_items symb_map_items

sign morphism symbol raw_symbol proof_tree =>

Logic lid

deriving Typeable

instance GetRange AnyLogic

instance Show AnyLogic where

show (Logic lid) = language_name lid

instance Eq AnyLogic where

a == b = compare a b == EQ

instance Ord AnyLogic where

compare = comparing show

{- class hierarchy:

Language

__________/

Category

| /

Sentences Syntax

\ /

StaticAnalysis (no sublogics)

|

|

Logic

-}