{- |

Module : $Header$

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

License : similar to LGPL, see HetCATS/LICENSE.txt or LIZENZ.txt

Maintainer : till@tzi.de

Stability : provisional

Portability : non-portable(Logic)

Convert development graph back to structured specification

and compute theory

-}

module Static.DGToSpec

where

import Logic.Logic

import Logic.Grothendieck

import Static.DevGraph

import Syntax.AS_Library

import Syntax.AS_Structured

import Common.AS_Annotation

import Logic.Prover

import Common.Result

import Common.Id

import Common.Utils

import Data.Graph.Inductive.Graph

dgToSpec :: DGraph -> Node -> Result SPEC

dgToSpec dg node = do

let (_,_,n,preds) = safeContext "Static.DGToSpec.dgToSpec" dg node

predSps <- sequence (map (dgToSpec dg . snd) preds)

let apredSps = map emptyAnno predSps

pos = nullRange

case n of

DGNode _ (G_theory lid1 sigma _ sen' _) _ _ DGBasic _ _ ->

do let b = Basic_spec $ G_basic_spec lid1 $

sign_to_basic_spec lid1 sigma $ toNamedList sen'

if null apredSps

then return b

else return (Extension (apredSps++[emptyAnno b]) pos)

DGRef name _ _ _ _ _ -> return (Spec_inst (getName name) [] pos)

_ -> case dgn_origin n of

DGExtension ->

return (Extension apredSps pos)

DGUnion ->

return (Union apredSps pos)

DGTranslation ->

return (Translation (head apredSps) (Renaming [] nullRange))

DGHiding ->

return (Reduction (head apredSps) (Hidden [] nullRange))

DGRevealing ->

return (Reduction (head apredSps) (Hidden [] nullRange))

DGFree ->

return (Free_spec (head apredSps) pos)

DGCofree ->

return (Cofree_spec (head apredSps) pos)

DGSpecInst name ->

return (Spec_inst name [] pos)

_ -> return (Extension apredSps pos)

{- compute the theory of a given node.

If this node is a DGRef, the referenced node is looked up first. -}

computeLocalTheory :: Monad m => LibEnv -> LIB_NAME -> Node -> m G_theory

computeLocalTheory libEnv ln node =

if isDGRef nodeLab

then

computeLocalTheory libEnv refLn $ dgn_node nodeLab

else return $ dgn_theory nodeLab

where

dgraph = lookupDGraph ln libEnv

nodeLab = lab' $ safeContext "Static.DGToSpec.computeLocalTheory"

dgraph node

refLn = dgn_libname nodeLab

{- returns all edges that go directly in the given node,

in case of a DGRef node also all ingoing edges of the referenced node

are returned -}

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

-- methods to determine or get morphisms

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

-- determines the morphism of a given path

calculateMorphismOfPath :: [LEdge DGLinkLab] -> Maybe GMorphism

calculateMorphismOfPath [] = Nothing

calculateMorphismOfPath ((_src,_tgt,edgeLab):furtherPath) =

case maybeMorphismOfFurtherPath of

Nothing -> if null furtherPath then Just morphism else Nothing

Just morphismOfFurtherPath ->

resultToMaybe $ compHomInclusion morphism morphismOfFurtherPath

where

morphism = dgl_morphism edgeLab

maybeMorphismOfFurtherPath = calculateMorphismOfPath furtherPath

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

-- methods to get the nodes of an edge

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

getSourceNode :: LEdge DGLinkLab -> Node

getSourceNode (source,_,_) = source

getTargetNode :: LEdge DGLinkLab -> Node

getTargetNode (_,target,_) = target

isGlobalDef :: LEdge DGLinkLab -> Bool

isGlobalDef (_,_,edgeLab) =

case dgl_type edgeLab of

GlobalDef -> True

_ -> False

isLocalDef :: LEdge DGLinkLab -> Bool

isLocalDef (_,_,edgeLab) =

case dgl_type edgeLab of

LocalDef -> True

_ -> False

-- | or two predicates

liftOr :: (a -> Bool) -> (a -> Bool) -> a -> Bool

liftOr f g x = f x || g x

-- | Compute the theory of a node (CASL Reference Manual, p. 294, Def. 4.9)

computeTheory :: LibEnv -> LIB_NAME -> Node -> Result G_theory

computeTheory libEnv ln n =

let dg = lookupDGraph ln libEnv

nodeLab = lab' $ safeContext "Static.DGToSpec.computeTheory" dg n

inEdges = filter (liftOr isLocalDef isGlobalDef) $ inn dg n

localTh = dgn_theory nodeLab

in if isDGRef nodeLab then let refLn = dgn_libname nodeLab in do

refTh <- computeTheory libEnv refLn $ dgn_node nodeLab

flatG_sentences localTh [theoremsToAxioms $ refTh]

else do

ths <- mapM (computePathTheory libEnv ln) inEdges

flatG_sentences localTh ths

computePathTheory :: LibEnv -> LIB_NAME -> LEdge DGLinkLab -> Result G_theory

computePathTheory libEnv ln e@(src, _, link) = do

th <- if isLocalDef e then computeLocalTheory libEnv ln src

else computeTheory libEnv ln src

-- translate theory and turn all imported theorems into axioms

translateG_theory (dgl_morphism link) $ theoremsToAxioms th

theoremsToAxioms :: G_theory -> G_theory

theoremsToAxioms (G_theory lid sign ind1 sens ind2) =

G_theory lid sign ind1 (markAsAxiom True sens) ind2