5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder{- |

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Module : $Header$

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Copyright : (c) Till Mossakowski and Uni Bremen 2003

98890889ffb2e8f6f722b00e265a211f13b5a861Corneliu-Claudiu Prodescu Licence : similar to LGPL, see HetCATS/LICENCE.txt or LIZENZ.txt

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Maintainer : hets@tzi.de

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Stability : provisional

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Portability : portable

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

75067b1beba1380cde707c30e7fc050d86f6927fKarl Luc Analysis of structured specifications

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Follows the verfication semantic rules in Chap. IV:4.7

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder of the CASL Reference Manual.

75067b1beba1380cde707c30e7fc050d86f6927fKarl Luc-}

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder{-

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Todo:

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Improve efficiency by storing local signature fragments only

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Name views in devgraphs?

e036e115761fe7c09c210c337440a1864d794093Martha Rohte

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Check that translations and reductions do not effect local env

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder (Implement new semantics for revealing here)

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Unions (already in the parser) need unions of logics

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder = suprema in the lattice of default logic inclusions!

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder (also needed by closed specs)

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Should we use institution independent analysis over the Grothendieck logic?

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder abstract syntax + devgraph would have to be changed to homogeneous case

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder logic translations are symbol maps in the Grothendieck logic

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Problem with this approach: symbol functor goes into rel,

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder and induced_from_morphism gets difficult to implement

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Unions need inclusion morphisms. Should these play a special role?

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder At least we need a function delivering the inclusion morphism

75067b1beba1380cde707c30e7fc050d86f6927fKarl Luc between two (sub)signatures.

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder In most logics, inclusions could be represented specially, such

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder that composition for them becomes fast.

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc Should we even identify an inclusion subcategory?

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Then inclusions are represented by pair of signatures

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder (Non-inclusions could be specially displayed in the DG)

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Treatment of translations and reductions along logic translations

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder (see WADT 02 paper).

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Open question:

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder may local env be translated, and even reduced, along logic translations?

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder if yes: how is local env linked to signature of resulting spec?

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder (important e.g. for checking that local env is not being renamed?)

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder does signature+comorphism suffice, such that c(local env)\subseteq sig?

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder if no: this means that only closed specs may be translated

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Revealings without translations: just one arrow

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Pushouts: only admissible within one logic?

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Instantiations with formal parameter: add no new internal nodes

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder call extend_morphism

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc Optimizations:

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc Union nodes can be extended by a basic spec directly (no new node needed)

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder no new nodes for trivial translations

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder use foldM

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Also: free, cofree nodes

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Basic specs: if local env node is otherwise unused, overwrite it with

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder local sig+axioms

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Ensure that just_struct option leads to disabling of various dg operations

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder (show sig, show mor, proving)

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder local: better error message for the following

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maederspec GenCardinality [sort Subject,Object;

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder pred predicate : Subject * Object] =

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder%%Nat then

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maederlocal {

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Set [sort Object fit sort Elem |-> Object]

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder reveal Set[Object], #__, __eps__,

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Nat,0,1,2,3,4,5,6,7,8,9,__@@__,__>=__,__<=__

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder then

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder op toSet : Subject -> Set [Object]

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder forall x : Subject; y : Object

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder . predicate (x,y) <=> y eps toSet(x)

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder } within

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder pred minCardinality(s: Subject;n: Nat) <=>

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder # toSet(s) >= n;

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder maxCardinality(s: Subject;n: Nat) <=>

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder # toSet(s) <= n;

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder cardinality(s: Subject;n: Nat) <=>

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder # toSet(s) = n

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder%%} hide Pos,toSet,Set[Object],#__,__eps__,__<=__,__>=__

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maederend

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder-}

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maedermodule Static.AnalysisStructured (ana_SPEC, ana_GENERICITY, ana_VIEW_TYPE, ana_err)

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maederwhere

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

e9e5281899ddaec4778ad14c64800975377630ecChristian Maederimport Data.Maybe

e9e5281899ddaec4778ad14c64800975377630ecChristian Maederimport Logic.Logic

e036e115761fe7c09c210c337440a1864d794093Martha Rohteimport Logic.Comorphism

e9e5281899ddaec4778ad14c64800975377630ecChristian Maederimport Logic.Grothendieck

e9e5281899ddaec4778ad14c64800975377630ecChristian Maederimport Common.Lib.Graph hiding (empty)

e9e5281899ddaec4778ad14c64800975377630ecChristian Maederimport Static.DevGraph

e9e5281899ddaec4778ad14c64800975377630ecChristian Maederimport Syntax.AS_Structured

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maederimport Common.AS_Annotation

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksaimport Common.Result

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maederimport Common.Id

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksaimport qualified Common.Lib.Set as Set

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maederimport qualified Common.Lib.Map as Map

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maederimport Data.List hiding (union)

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksaimport Common.PrettyPrint

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksaimport Common.Lib.Pretty

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksaimport Control.Monad

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksaimport Common.Lib.Parsec.Pos -- for testing purposes

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa-- | analyze a SPEC

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa-- Parameters: global context, local environment,

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa-- the SIMPLE_ID may be a name if the specification shall be named,

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa-- flag: shall only the structure be analysed?

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksaana_SPEC :: LogicGraph -> GlobalContext -> NodeSig -> Maybe SIMPLE_ID ->

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa Bool -> SPEC -> Result (SPEC,NodeSig,DGraph)

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksaana_SPEC lg gctx@(gannos,genv,dg) nsig name just_struct sp =

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa case sp of

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa Basic_spec (G_basic_spec lid bspec) ->

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa do G_sign lid' sigma' <- return (getSig nsig)

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa sigma <- rcoerce lid' lid (newPos "a" 0 0) sigma'

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa (bspec',sigma_local, sigma_complete, ax) <-

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa if just_struct

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc then return (bspec,empty_signature lid, empty_signature lid,[])

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc else do b <- maybeToResult (newPos "b" 0 0)

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa ("no basic analysis for logic "

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc ++language_name lid)

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa (basic_analysis lid)

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc b (bspec,sigma,gannos)

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc incl <- ginclusion lg

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa (G_sign lid sigma) (G_sign lid sigma_complete)

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc let node_contents = DGNode {

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa dgn_name = name,

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc dgn_sign = G_sign lid sigma_complete, -- no, not only the delta

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa dgn_sens = G_l_sentence_list lid ax,

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc dgn_origin = DGBasic }

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa [node] = newNodes 0 dg

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa dg' = insNode (node,node_contents) dg

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc link = DGLink {

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa dgl_morphism = incl,

2c10bceb28a74fc291959697e023f22a66753655Eugen Kuksa dgl_type = GlobalDef,

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc dgl_origin = DGExtension }

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc dg'' = case nsig of

7b1111ca3b126f71cce47e60ce4b56e6f92422e9Karl Luc EmptyNode _ -> dg'

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder NodeSig (n,_) -> insEdge (n,node,link) dg'

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder return (Basic_spec (G_basic_spec lid bspec'),

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder NodeSig (node,G_sign lid sigma_complete),

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder dg'')

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder Translation asp ren ->

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder do let sp1 = item asp

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder (sp1',nsig',dg') <- ana_SPEC lg gctx nsig Nothing just_struct sp1

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder n' <- maybeToResult (newPos "c" 0 0)

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder "Internal error: Translation of empty spec" (getNode nsig')

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder let gsigma = getSig nsig'

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder mor <- ana_RENAMING dg gsigma just_struct ren

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder -- ??? check that mor is identity on local env

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder let gsigma' = cod Grothendieck mor

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder -- ??? too simplistic for non-comorphism inter-logic translations

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder G_sign lid' _ <- return gsigma'

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder let node_contents = DGNode {

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder dgn_name = name,

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder dgn_sign = gsigma',

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder dgn_sens = G_l_sentence_list lid' [],

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder dgn_origin = DGTranslation }

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder [node] = newNodes 0 dg'

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder link = (n',node,DGLink {

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder dgl_morphism = mor,

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder dgl_type = GlobalDef,

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder dgl_origin = DGTranslation })

5096f518ac5380a0834a09b22a8b38fabe247bf5Christian Maeder return (Translation (replaceAnnoted sp1' asp) ren,

NodeSig(node,gsigma'),

insEdge link $

insNode (node,node_contents) dg')

Reduction asp restr ->

do let sp1 = item asp

(sp1',nsig',dg') <- ana_SPEC lg gctx nsig Nothing just_struct sp1

let gsigma = getSig nsig

gsigma' = getSig nsig'

n' <- maybeToResult (newPos "d" 0 0)

"Internal error: Reduction of empty spec" (getNode nsig')

(hmor,tmor) <- ana_RESTRICTION dg gsigma gsigma' just_struct restr

-- we treat hiding and revealing differently

-- in order to keep the dg as simple as possible

case tmor of

Nothing ->

do let gsigma'' = dom Grothendieck hmor

-- ??? too simplistic for non-comorphism inter-logic reductions

G_sign lid' _ <- return gsigma''

let node_contents = DGNode {

dgn_name = name,

dgn_sign = gsigma'', -- G_sign lid' (empty_signature lid'),

dgn_sens = G_l_sentence_list lid' [],

dgn_origin = DGHiding }

[node] = newNodes 0 dg'

link = (n',node,DGLink {

dgl_morphism = hmor,

dgl_type = HidingDef,

dgl_origin = DGHiding })

return (Reduction (replaceAnnoted sp1' asp) restr,

NodeSig(node,gsigma''),

insEdge link $

insNode (node,node_contents) dg')

Just tmor' ->

-- the case with identity translation leads to a simpler dg

if tmor' == ide Grothendieck (dom Grothendieck tmor')

then do

let gsigma1 = dom Grothendieck tmor'

-- ??? too simplistic for non-comorphism inter-logic reductions

G_sign lid1 _ <- return gsigma1

let [node1] = newNodes 0 dg'

node_contents1 = DGNode {

dgn_name = name,

dgn_sign = gsigma1, --G_sign lid1 (empty_signature lid1),

dgn_sens = G_l_sentence_list lid1 [],

dgn_origin = DGRevealing }

link1 = (n',node1,DGLink {

dgl_morphism = hmor,

dgl_type = HidingDef,

dgl_origin = DGRevealing })

return (Reduction (replaceAnnoted sp1' asp) restr,

NodeSig(node1,gsigma1),

insEdge link1 $

insNode (node1,node_contents1) dg')

else do

let gsigma1 = dom Grothendieck tmor'

gsigma'' = cod Grothendieck tmor'

-- ??? too simplistic for non-comorphism inter-logic reductions

G_sign lid1 _ <- return gsigma1

G_sign lid'' _ <- return gsigma''

let [node1,node''] = newNodes 1 dg'

node_contents1 = DGNode {

dgn_name = Nothing,

dgn_sign = gsigma1, --G_sign lid1 (empty_signature lid1),

dgn_sens = G_l_sentence_list lid1 [],

dgn_origin = DGRevealing }

link1 = (n',node1,DGLink {

dgl_morphism = hmor,

dgl_type = HidingDef,

dgl_origin = DGRevealing })

node_contents'' = DGNode {

dgn_name = name,

dgn_sign = gsigma'', -- G_sign lid'' (empty_signature lid''),

dgn_sens = G_l_sentence_list lid'' [],

dgn_origin = DGRevealTranslation }

link'' = (node1,node'',DGLink {

dgl_morphism = tmor',

dgl_type = GlobalDef,

dgl_origin = DGRevealTranslation })

return (Reduction (replaceAnnoted sp1' asp) restr,

NodeSig(node'',gsigma''),

insEdge link'' $

insNode (node'',node_contents'') $

insEdge link1 $

insNode (node1,node_contents1) dg')

Union [] _ -> return (sp,nsig,dg)

Union asps pos ->

do let sps = map item asps

(sps',nsigs,dg') <-

let ana r sp' = do

(sps1,nsigs,dg') <- r

(sp1,nsig',dg1) <- ana_SPEC lg (gannos,genv,dg')

nsig Nothing just_struct sp'

return (sp1:sps1,nsig':nsigs,dg1)

in foldl ana (return ([],[],dg)) sps

let nsigs' = reverse nsigs

gbigSigma <- homogeneousGsigManyUnion (headPos pos) (map getSig nsigs')

G_sign lid' _ <- return gbigSigma

let node_contents = DGNode {

dgn_name = name,

dgn_sign = gbigSigma, -- G_sign lid' (empty_signature lid'),

dgn_sens = G_l_sentence_list lid' [],

dgn_origin = DGUnion }

[node] = newNodes 0 dg'

insE dgres (n,gsigma) = do

dg1 <- dgres

incl <- ginclusion lg gsigma gbigSigma

let link = DGLink {

dgl_morphism = incl,

dgl_type = GlobalDef,

dgl_origin = DGUnion }

return (insEdge (n,node,link) dg1)

dg'' <- foldl insE (return (insNode (node,node_contents) dg'))

(catMaybes (map getNodeAndSig nsigs'))

return (Union (map (uncurry replaceAnnoted)

(zip (reverse sps') asps))

pos,

NodeSig(node,gbigSigma),

dg'')

--Extension [] pos -> return (sp,nsig,dg)

Extension asps pos -> do

(sps',nsig1,dg1) <- foldl ana (return ([],nsig,dg)) namedSps

return (Extension (map (uncurry replaceAnnoted)

(zip (reverse sps') asps))

pos,

nsig1,dg1)

where

namedSps = zip (map (\_ -> Nothing) (tail asps) ++ [name]) (map item asps)

ana res (name',sp') = do

(sps',nsig',dg') <- res

(sp1',nsig1,dg1) <- ana_SPEC lg (gannos,genv,dg') nsig' name' just_struct sp'

return (sp1':sps',nsig1,dg1)

Free_spec asp pos ->

do let sp1 = item asp

(sp',nsig',dg') <- ana_SPEC lg gctx nsig Nothing just_struct sp1

n' <- maybeToResult (newPos "e" 0 0)

"Internal error: Free spec over empty spec" (getNode nsig')

let gsigma' = getSig nsig'

G_sign lid' _ <- return gsigma'

incl <- ginclusion lg (getSig nsig) gsigma'

let node_contents = DGNode {

dgn_name = name,

dgn_sign = gsigma', -- G_sign lid' (empty_signature lid'), -- delta is empty

dgn_sens = G_l_sentence_list lid' [],

dgn_origin = DGFree }

[node] = newNodes 0 dg'

link = (n',node,DGLink {

dgl_morphism = incl,

dgl_type = FreeDef nsig,

dgl_origin = DGFree })

return (Free_spec (replaceAnnoted sp' asp) pos,

NodeSig(node,gsigma'),

insEdge link $

insNode (node,node_contents) dg')

Cofree_spec asp pos ->

do let sp1 = item asp

(sp',nsig',dg') <- ana_SPEC lg gctx nsig Nothing just_struct sp1

n' <- maybeToResult (newPos "f" 0 0)

"Internal error: Cofree spec over empty spec" (getNode nsig')

let gsigma' = getSig nsig'

G_sign lid' _ <- return gsigma'

incl <- ginclusion lg (getSig nsig) gsigma'

let node_contents = DGNode {

dgn_name = name,

dgn_sign = gsigma', -- G_sign lid' (empty_signature lid'), -- delta is empty

dgn_sens = G_l_sentence_list lid' [],

dgn_origin = DGCofree }

[node] = newNodes 0 dg'

link = (n',node,DGLink {

dgl_morphism = incl,

dgl_type = CofreeDef nsig,

dgl_origin = DGCofree })

return (Cofree_spec (replaceAnnoted sp' asp) pos,

NodeSig(node,gsigma'),

insEdge link $

insNode (node,node_contents) dg')

Local_spec asp asp' pos ->

do let sp1 = item asp

sp1' = item asp'

(sp2,nsig',dg') <- ana_SPEC lg gctx nsig Nothing just_struct sp1

(sp2',nsig'',dg'') <- ana_SPEC lg (gannos,genv,dg') nsig' Nothing just_struct sp1'

n'' <- maybeToResult (newPos "g" 0 0)

"Internal error: Local spec over empty spec" (getNode nsig'')

let gsigma = getSig nsig

gsigma' = getSig nsig'

gsigma'' = getSig nsig''

G_sign lid sigma <- return gsigma

G_sign lid' sigma' <- return gsigma'

G_sign lid'' sigma'' <- return gsigma''

sigma1 <- rcoerce lid' lid (newPos "h" 0 0) sigma'

sigma2 <- rcoerce lid'' lid (newPos "i" 0 0) sigma''

let sys = sym_of lid sigma

sys1 = sym_of lid sigma1

sys2 = sym_of lid sigma2

mor3 <- if just_struct then return (ide lid sigma2)

else cogenerated_sign lid

(sys1 `Set.difference` sys) sigma2

let sigma3 = dom lid mor3

-- gsigma2 = G_sign lid sigma2

gsigma3 = G_sign lid sigma3

sys3 = sym_of lid sigma3

when (not( just_struct || sys2 `Set.difference` sys1 `Set.subset` sys3))

(pplain_error ()

(ptext "attempt to hide the following symbols from the local environment"

$$ printText ((sys2 `Set.difference` sys1) `Set.difference` sys3))

(headPos pos))

let node_contents = DGNode {

dgn_name = name,

dgn_sign = gsigma3, -- G_sign lid (empty_signature lid), -- delta is empty

dgn_sens = G_l_sentence_list lid [],

dgn_origin = DGLocal }

[node] = newNodes 0 dg''

link = (n'',node,DGLink {

dgl_morphism = gEmbed (G_morphism lid mor3),

dgl_type = HidingDef,

dgl_origin = DGLocal })

return (Local_spec (replaceAnnoted sp2 asp)

(replaceAnnoted sp2' asp')

pos,

NodeSig(node,gsigma3),

insEdge link $

insNode (node,node_contents) dg'')

Closed_spec asp pos ->

do let sp1 = item asp

l = getLogic nsig

(sp',nsig',dg') <- ana_SPEC lg gctx (EmptyNode l) Nothing just_struct sp1

n' <- maybeToResult (newPos "j" 0 0)

"Internal error: Closed spec over empty spec" (getNode nsig')

let gsigma = getSig nsig

gsigma' = getSig nsig'

gsigma'' <- homogeneousGsigUnion (headPos pos) gsigma gsigma'

-- also allow different logics???

G_sign lid'' _ <- return gsigma''

incl1 <- ginclusion lg gsigma' gsigma''

incl2 <- ginclusion lg gsigma' gsigma''

let [node] = newNodes 0 dg'

node_contents = DGNode {

dgn_name = name,

dgn_sign = gsigma'', -- G_sign lid'' (empty_signature lid''),

dgn_sens = G_l_sentence_list lid'' [],

dgn_origin = DGClosed }

link1 = (n',node,DGLink {

dgl_morphism = incl1,

dgl_type = GlobalDef,

dgl_origin = DGClosed })

link2 = DGLink {

dgl_morphism = incl2,

dgl_type = GlobalDef,

dgl_origin = DGClosedLenv }

insLink2 = case (getNode nsig) of

Nothing -> id

Just n -> insEdge (n,node,link2)

return (Closed_spec (replaceAnnoted sp' asp) pos,

NodeSig(node,gsigma''),

insLink2 $

insEdge link1 $

insNode (node,node_contents) dg')

Group asp pos -> do

(sp',nsig',dg') <- ana_SPEC lg gctx nsig name just_struct (item asp)

return (Group (replaceAnnoted sp' asp) pos,nsig',dg')

Spec_inst spname afitargs pos ->

case Map.lookup spname genv of

Nothing -> plain_error (sp,nsig,dg)

("Specification "++ showPretty spname " not found") (headPos pos)

Just (ViewEntry _) ->

plain_error (sp,nsig,dg)

(showPretty spname " is a view, not a specification") (headPos pos)

Just (ArchEntry _) ->

plain_error (sp,nsig,dg)

(showPretty spname

" is an architectural, not a structured specification") (headPos pos)

Just (UnitEntry _) ->

plain_error (sp,nsig,dg)

(showPretty spname

" is a unit specification, not a structured specification") (headPos pos)

Just (SpecEntry gs@(imps,params,_,body)) ->

case (\x y -> (x,x-y)) (length afitargs) (length params) of

-- the case without parameters leads to a simpler dg

(0,0) -> do

let gsigmaB = getSig body

gsigma <- gsigLeftUnion lg (headPos pos) (getSig nsig) gsigmaB

G_sign lid _ <- return gsigma

nB <- maybeToResult (headPos pos)

"Internal error: empty body spec" (getNode body)

case (getNode nsig) of

-- the subcase with empty local env leads to an even simpler dg

Nothing ->

-- if the node shall not be named and the logic does not change,

if isNothing name && langNameSig gsigma==langNameSig gsigmaB

-- then just return the body

then return (sp,body,dg)

-- otherwise, we need to create a new one

else do

incl <- ginclusion lg gsigmaB gsigma

let [node] = newNodes 0 dg

node_contents = DGNode {

dgn_name = name,

dgn_sign = gsigma, -- G_sign lid (empty_signature lid),

dgn_sens = G_l_sentence_list lid [],

dgn_origin = DGSpecInst spname}

link = (nB,node,DGLink {

dgl_morphism = incl,

dgl_type = GlobalDef,

dgl_origin = DGSpecInst spname})

return (sp,

NodeSig(node,gsigma),

insEdge link $

insNode (node,node_contents) dg)

-- the subcase with nonempty local env

Just n -> do

incl1 <- ginclusion lg (getSig nsig) gsigma

incl2 <- ginclusion lg gsigmaB gsigma

let [node] = newNodes 0 dg

node_contents = DGNode {

dgn_name = name,

dgn_sign = gsigma, -- G_sign lid (empty_signature lid),

dgn_sens = G_l_sentence_list lid [],

dgn_origin = DGSpecInst spname}

link1 = (n,node,DGLink {

dgl_morphism = incl1,

dgl_type = GlobalDef,

dgl_origin = DGSpecInst spname})

link2 = (nB,node,DGLink {

dgl_morphism = incl2,

dgl_type = GlobalDef,

dgl_origin = DGSpecInst spname})

return (sp,

NodeSig(node,gsigma),

insEdge link1 $

insEdge link2 $

insNode (node,node_contents) dg)

-- now the case with parameters

(_,0) -> do

let fitargs = map item afitargs

(fitargs',dg',args) <-

foldl anaFitArg (return ([],dg,[])) (zip params fitargs)

let actualargs = reverse args

(gsigma',morDelta) <- apply_GS (headPos pos) gs actualargs

gsigmaRes <- homogeneousGsigUnion (headPos pos) (getSig nsig) gsigma'

G_sign lidRes _ <- return gsigmaRes

nB <- maybeToResult (headPos pos)

"Internal error: empty body spec" (getNode body)

incl1 <- ginclusion lg (getSig nsig) gsigmaRes

let [node] = newNodes 0 dg'

node_contents = DGNode {

dgn_name = name,

dgn_sign = gsigmaRes, -- G_sign lid' (empty_signature lid'),

dgn_sens = G_l_sentence_list lidRes [],

dgn_origin = DGSpecInst spname}

link1 = DGLink {

dgl_morphism = incl1,

dgl_type = GlobalDef,

dgl_origin = DGSpecInst spname}

insLink1 = case (getNode nsig) of

Nothing -> id

Just n -> insEdge (n,node,link1)

link2 = (nB,node,DGLink {

dgl_morphism = gEmbed morDelta,

dgl_type = GlobalDef,

dgl_origin = DGSpecInst spname})

parLinks = catMaybes (map (parLink gsigmaRes node) actualargs)

return (Spec_inst spname

(map (uncurry replaceAnnoted)

(zip (reverse fitargs') afitargs))

pos,

NodeSig(node,gsigmaRes),

foldr insEdge

(insLink1 $

insEdge link2 $

insNode (node,node_contents) dg')

parLinks)

where

anaFitArg res (nsig',fa) = do

(fas',dg1,args) <- res

(fa',dg',arg) <- ana_FIT_ARG lg (gannos,genv,dg1)

spname imps nsig' just_struct fa

return (fa':fas',dg',arg:args)

parLink gsigma' node (mor_i,nsigA_i) = do

nA_i <- getNode nsigA_i

incl <- maybeResult $ ginclusion lg (getSig nsigA_i) gsigma'

let link = DGLink {

dgl_morphism = incl,

dgl_type = GlobalDef,

dgl_origin = DGFitSpec }

return (nA_i,node,link)

-- finally the case with conflicting numbers of formal and actual parameters

_ ->

plain_error (sp,nsig,dg)

(showPretty spname " expects "++show (length params)++" arguments"

++" but was given "++show (length afitargs)) (headPos pos)

Qualified_spec logname asp pos ->

ana_err "logic qualified specs"

{-

Data (Logic lid1) asp1 asp2 pos ->

do let sp1 = item asp1

sp2 = item asp2

l = getLogic nsig

(sp1',nsig1,dg1) <-

ana_SPEC lg gctx (EmptyNode lid1) Nothing just_struct sp1

(sp2',nsig2,dg2) <-

ana_SPEC lg (gannos,genv,dg1) nsig1 Nothing just_struct sp2

n' <- maybeToResult (newPos "k" 0 0)

"Internal error: Data spec over empty spec" (getNode nsig1)

let gsigma' = getSig nsig1

G_sign lid' sigma' <- return gsigma'

let node_contents = DGNode {

dgn_name = name,

dgn_sign = gsigma', -- G_sign lid' (empty_signature lid'), -- delta is empty

dgn_sens = G_l_sentence_list lid' [],

dgn_origin = DGFree }

[node] = newNodes 0 dg2

link = (n',node,DGLink {

dgl_morphism = error "AnalysisStructured.hs:5", -- ??? inclusion

dgl_type = FreeDef nsig,

dgl_origin = DGFree })

return (Data (Logic lid1)

(replaceAnnoted sp1' asp1)

(replaceAnnoted sp2' asp2)

pos,

NodeSig(node,gsigma'),

insEdge link $

insNode (node,node_contents) dg2)

-}

-- analysis of renamings

ana_ren1 :: DGraph -> GMorphism -> (G_mapping,Pos) -> Result GMorphism

ana_ren1 _ (GMorphism r sigma mor)

(G_symb_map (G_symb_map_items_list lid sis),pos) = do

let lid2 = targetLogic r

sis1 <- rcoerce lid2 lid pos sis

rmap <- stat_symb_map_items lid2 sis1

mor1 <- induced_from_morphism lid2 rmap (cod lid2 mor)

mor2 <- maybeToResult pos

"renaming: signature morphism composition failed"

(comp lid2 mor mor1)

return (GMorphism r sigma mor2)

ana_ren1 _ mor (G_logic_translation (Logic_code tok src tar pos1),pos2) =

fatal_error "no analysis of logic translations yet" pos2

ana_ren :: DGraph -> Result GMorphism -> (G_mapping,Pos) -> Result GMorphism

ana_ren dg mor_res ren =

do mor <- mor_res

ana_ren1 dg mor ren

ana_RENAMING :: DGraph -> G_sign -> Bool -> RENAMING -> Result GMorphism

ana_RENAMING dg gSigma just_struct (Renaming ren pos) =

if just_struct

then return (ide Grothendieck gSigma)

else foldl (ana_ren dg) (return (ide Grothendieck gSigma)) ren'

where

ren' = zip ren (tail (pos ++ repeat (newPos "l" 0 0)))

-- analysis of restrictions

ana_restr1 :: DGraph -> G_sign -> GMorphism -> (G_hiding,Pos) -> Result GMorphism

ana_restr1 _ (G_sign lid sigma) (GMorphism cid sigma1 mor)

(G_symb_list (G_symb_items_list lid' sis'),pos) = do

let lid1 = sourceLogic cid

lid2 = targetLogic cid

sis1 <- rcoerce lid1 lid' pos sis'

rsys <- stat_symb_items lid1 sis1

let sys = sym_of lid1 sigma1

let sys' = Set.filter (\sy -> any (\rsy -> matches lid1 sy rsy) rsys)

sys

-- if sys' `disjoint` () then return ()

-- else plain_error () "attempt to hide symbols from the local environment" pos

mor1 <- cogenerated_sign lid1 sys' sigma1

mor1' <- maybeToResult pos

("restriction: could not map morphism along" ++ language_name cid)

(map_morphism cid mor1)

mor2 <- maybeToResult pos

"restriction: signature morphism composition failed"

(comp lid2 mor1' mor)

return (GMorphism cid (dom lid1 mor1) mor2)

ana_restr1 dg gSigma mor

(G_logic_projection (Logic_code tok src tar pos1),pos2) =

fatal_error "no analysis of logic projections yet" pos2

ana_restr :: DGraph -> G_sign -> Result GMorphism -> (G_hiding,Pos)

-> Result GMorphism

ana_restr dg gSigma mor_res restr =

do mor <- mor_res

ana_restr1 dg gSigma mor restr

ana_RESTRICTION :: DGraph -> G_sign -> G_sign -> Bool -> RESTRICTION

-> Result (GMorphism, Maybe GMorphism)

ana_RESTRICTION _ _ gSigma True _ =

return (ide Grothendieck gSigma,Nothing)

ana_RESTRICTION dg gSigma gSigma' False (Hidden restr pos) =

do mor <- foldl (ana_restr dg gSigma)

(return (ide Grothendieck gSigma'))

restr'

return (mor,Nothing)

where

restr' = zip restr (tail (pos ++ repeat (newPos "m" 0 0)))

-- ??? Need to check that local env is not affected !

ana_RESTRICTION _ (G_sign lid sigma) (G_sign lid' sigma')

False (Revealed (G_symb_map_items_list lid1 sis) pos) =

do let sys = sym_of lid sigma -- local env

sys' = sym_of lid' sigma' -- "big" signature

sis' <- rcoerce lid1 lid' (headPos pos) sis

rmap <- stat_symb_map_items lid' sis'

let sys'' =

Set.fromList

[sy | sy <- Set.toList sys', rsy <- Map.keys rmap, matches lid' sy rsy]

-- domain of rmap intersected with sys'

-- domain of rmap should be checked to match symbols from sys' ???

sys1 <- rcoerce lid lid' (headPos pos) sys

-- ??? this is too simple in case that local env is translated

-- to a different logic

mor1 <- generated_sign lid' (sys1 `Set.union` sys'') sigma'

mor2 <- induced_from_morphism lid' rmap (dom lid' mor1)

return (gEmbed (G_morphism lid' mor1),

Just (gEmbed (G_morphism lid' mor2)))

ana_FIT_ARG :: LogicGraph -> GlobalContext -> SPEC_NAME -> NodeSig -> NodeSig

-> Bool

-> FIT_ARG

-> Result (FIT_ARG, DGraph, (G_morphism,NodeSig))

ana_FIT_ARG lg gctx spname nsigI nsigP just_struct

(Fit_spec asp gsis pos) = do

let adj = adjustPos (headPos pos)

nP <- maybeToResult (headPos pos)

"Internal error: empty parameter spec" (getNode nsigP)

(sp',nsigA,dg') <- ana_SPEC lg gctx nsigI Nothing just_struct (item asp)

nA <- maybeToResult (headPos pos)

"Internal error: empty argument spec" (getNode nsigA)

let gsigmaP = getSig nsigP

gsigmaA = getSig nsigA

gsigmaI = getSig nsigI

G_sign lidP sigmaP <- return gsigmaP

G_sign lidA sigmaA <- return gsigmaA

G_sign lidI sigmaI <- return gsigmaI

G_symb_map_items_list lid sis <- return gsis

sigmaA' <- rcoerce lidA lidP (headPos pos) sigmaA

sigmaI' <- rcoerce lidI lidP (headPos pos) sigmaI

mor <- if just_struct then return (ide lidP sigmaP)

else do

rmap <- adj $ stat_symb_map_items lid sis

rmap' <- rcoerce lid lidP (headPos pos) rmap

adj $ induced_from_to_morphism lidP rmap' sigmaP sigmaA'

let symI = sym_of lidP sigmaI'

symmap_mor = symmap_of lidP mor

-- are symbols of the imports left untouched?

{- if Set.all (\sy -> lookupFM symmap_mor sy == Just sy) symI

then return ()

else plain_error () "Fitting morphism must not affect import" (headPos pos)

-} -- ??? does not work

-- ??? also output some symbol that is affected

let link = (nP,nA,DGLink {

dgl_morphism = gEmbed (G_morphism lidP mor),

dgl_type = GlobalThm Open None Open,

dgl_origin = DGSpecInst spname})

return (Fit_spec (replaceAnnoted sp' asp) gsis pos,

insEdge link dg',

(G_morphism lidP mor,nsigA)

)

ana_FIT_ARG lg gctx@(gannos,genv,dg) spname nsigI nsigP just_struct

fv@(Fit_view vn afitargs pos ans) = do

case Map.lookup vn genv of

Nothing -> plain_error (fv,dg,error "no morphism")

("View "++ showPretty vn " not found") (headPos pos)

Just (SpecEntry _) ->

plain_error (fv,dg,error "no fit view")

(showPretty spname " is a specification, not a view") (headPos pos)

Just (ArchEntry _) ->

plain_error (fv,dg,error "no fit view")

(showPretty spname

" is an architectural specification, not a view ") (headPos pos)

Just (UnitEntry _) ->

plain_error (fv,dg,error "no fit view")

(showPretty spname

" is a unit specification, not a view") (headPos pos)

Just (ViewEntry (src,mor,gs@(imps,params,_,target))) -> do

let adj = adjustPos (headPos pos)

nSrc <- maybeToResult (headPos pos)

"Internal error: empty source spec of view" (getNode src)

nTar <- maybeToResult (headPos pos)

"Internal error: empty target spec of view" (getNode target)

nP <- maybeToResult (headPos pos)

"Internal error: empty parameter specification" (getNode nsigP)

let gsigmaS = getSig src

gsigmaT = getSig target

gsigmaP = getSig nsigP

gsigmaI = getSig nsigI

gsigmaIS <- gsigLeftUnion lg (headPos pos) gsigmaI gsigmaS

when (not (gsigmaIS == gsigmaP))

(pplain_error ()

(ptext "Parameter does not match source of fittig view."

$$ ptext "Parameter signature:"

$$ printText gsigmaP

$$ ptext "Source signature of fitting view (united with import):"

$$ printText gsigmaIS) (headPos pos))

GMorphism cid _ morHom <- return mor

let lid = targetLogic cid

when (not (language_name (sourceLogic cid) == language_name lid))

(fatal_error

"heterogeneous fitting views not yet implemented"

(headPos pos))

case (\x y -> (x,x-y)) (length afitargs) (length params) of

-- the case without parameters leads to a simpler dg

(0,0) -> case getNode nsigI of

-- the subcase with empty import leads to a simpler dg

Nothing -> do

let link = (nP,nSrc,DGLink {

dgl_morphism = ide Grothendieck gsigmaP,

dgl_type = GlobalThm Open None Open,

dgl_origin = DGFitView spname})

return (fv,insEdge link dg,(G_morphism lid morHom,target))

-- the subcase with nonempty import

Just nI -> do

G_sign lidI sigI1 <- return gsigmaI

sigI <- rcoerce lidI lid (headPos pos) sigI1

mor_I <- adj $ morphism_union lid morHom $ ide lid sigI

gsigmaA <- gsigLeftUnion lg (headPos pos) gsigmaI gsigmaT

G_sign lidA _ <- return gsigmaA

G_sign lidP _ <- return gsigmaP

incl1 <- adj $ ginclusion lg gsigmaI gsigmaA

incl2 <- adj $ ginclusion lg gsigmaT gsigmaA

incl3 <- adj $ ginclusion lg gsigmaI gsigmaP

incl4 <- adj $ ginclusion lg gsigmaS gsigmaP

let [nA,n'] = newNodes 1 dg

node_contentsA = DGNode {

dgn_name = Nothing,

dgn_sign = gsigmaA,

dgn_sens = G_l_sentence_list lidA [],

dgn_origin = DGFitViewA spname}

node_contents' = DGNode {

dgn_name = Nothing,

dgn_sign = gsigmaP,

dgn_sens = G_l_sentence_list lidP [],

dgn_origin = DGFitView spname}

link = (nP,n',DGLink {

dgl_morphism = ide Grothendieck gsigmaP,

dgl_type = GlobalThm Open None Open,

dgl_origin = DGFitView spname})

link1 = (nSrc,n',DGLink {

dgl_morphism = incl4,

dgl_type = GlobalDef,

dgl_origin = DGFitView spname})

link2 = (nTar,nA,DGLink {

dgl_morphism = incl2,

dgl_type = GlobalDef,

dgl_origin = DGFitViewA spname})

link3 = (nI,n',DGLink {

dgl_morphism = incl3,

dgl_type = GlobalDef,

dgl_origin = DGFitViewImp spname})

link4 = (nI,nA,DGLink {

dgl_morphism = incl1,

dgl_type = GlobalDef,

dgl_origin = DGFitViewAImp spname})

return (fv,

insEdge link $

insEdge link1 $

insEdge link2 $

insEdge link3 $

insEdge link4 $

insNode (nA,node_contentsA) $

insNode (n',node_contents') dg,

(G_morphism lid mor_I,NodeSig (nA,gsigmaA)))

-- now the case with parameters

(_,0) -> do

let fitargs = map item afitargs

(fitargs',dg',args) <-

foldl anaFitArg (return ([],dg,[])) (zip params fitargs)

let actualargs = reverse args

(gsigmaA,mor_f) <- apply_GS (headPos pos) gs actualargs

let gmor_f = gEmbed mor_f

gsigmaRes <- homogeneousGsigUnion (headPos pos) gsigmaI gsigmaA

G_sign lidRes _ <- return gsigmaRes

mor1 <- maybeToResult (headPos pos)

(show (ptext "Morphism composition failed when instantiating generic fitting view"

$$ ptext "Morphism 1" $$ printText mor

$$ ptext "Morphism 2" $$ printText gmor_f))

$ comp Grothendieck mor gmor_f

incl1 <- adj $ ginclusion lg gsigmaA gsigmaRes

mor' <- maybeToResult (headPos pos)

(show (ptext "Morphism composition with inclusion failed in fitting view"

$$ ptext "Morphism 1" $$ printText gmor_f

$$ ptext "Morphism 2" $$ printText incl1))

$ comp Grothendieck gmor_f incl1

GMorphism cid1 _ mor1Hom <- return mor1

let lid1 = targetLogic cid1

when (not (language_name (sourceLogic cid1) == language_name lid1))

(fatal_error

("heterogeneous fitting views not yet implemented")

(headPos pos))

G_sign lidI sigI1 <- return gsigmaI

sigI <- rcoerce lidI lid1 (headPos pos) sigI1

theta <- adj $ morphism_union lid1 mor1Hom (ide lid1 sigI)

incl2 <- adj $ ginclusion lg gsigmaI gsigmaRes

incl3 <- adj $ ginclusion lg gsigmaI gsigmaP

incl4 <- adj $ ginclusion lg gsigmaS gsigmaP

G_sign lidP _ <- return gsigmaP

let [nA,n'] = newNodes 1 dg'

node_contentsA = DGNode {

dgn_name = Nothing,

dgn_sign = gsigmaRes,

dgn_sens = G_l_sentence_list lidRes [],

dgn_origin = DGFitViewA spname}

node_contents' = DGNode {

dgn_name = Nothing,

dgn_sign = gsigmaP,

dgn_sens = G_l_sentence_list lidP [],

dgn_origin = DGFitView spname}

link = (nP,n',DGLink {

dgl_morphism = ide Grothendieck gsigmaP,

dgl_type = GlobalThm Open None Open,

dgl_origin = DGFitView spname})

link1 = (nSrc,n',DGLink {

dgl_morphism = incl4,

dgl_type = GlobalDef,

dgl_origin = DGFitView spname})

link2 = (nTar,nA,DGLink {

dgl_morphism = mor',

dgl_type = GlobalDef,

dgl_origin = DGFitViewA spname})

fitLinks = [link,link1,link2] ++ case getNode nsigI of

Nothing -> []

Just nI -> let

link3 = (nI,n',DGLink {

dgl_morphism = incl3,

dgl_type = GlobalDef,

dgl_origin = DGFitViewImp spname})

link4 = (nI,nA,DGLink {

dgl_morphism = incl2,

dgl_type = GlobalDef,

dgl_origin = DGFitViewAImp spname})

in [link3,link4]

parLinks = catMaybes (map (parLink gsigmaRes nA) actualargs)

return (Fit_view vn

(map (uncurry replaceAnnoted)

(zip (reverse fitargs') afitargs))

pos ans,

foldr insEdge

(insNode (nA,node_contentsA) $

insNode (n',node_contents') dg')

(fitLinks++parLinks),

(G_morphism lid1 theta,NodeSig (nA,gsigmaRes)))

where

anaFitArg res (nsig',fa) = do

(fas',dg1,args) <- res

(fa',dg',arg) <- ana_FIT_ARG lg (gannos,genv,dg1)

spname imps nsig' just_struct fa

return (fa':fas',dg',arg:args)

parLink gsigmaRes node (mor_i,nsigA_i) = do

nA_i <- getNode nsigA_i

incl <- maybeResult $ ginclusion lg (getSig nsigA_i) gsigmaRes

let link = DGLink {

dgl_morphism = incl,

dgl_type = GlobalDef,

dgl_origin = DGFitView spname }

return (nA_i,node,link)

-- finally the case with conflicting numbers of formal and actual parameters

_ ->

plain_error (fv,dg,error "no fit view")

(showPretty spname " expects "++show (length params)++" arguments"

++" but was given "++show (length afitargs)) (headPos pos)

-- Extension of signature morphisms (for instantitations)

-- first some auxiliary functions

{- not really needed:

-- for an Id, compute the list of components that are relevant for extension

idComponents :: Id -> Set.Set Id -> [Id]

idComponents (Id toks comps pos) ids =

foldl (\x y -> y++x) []

$ map (\id1 -> if id1 `Set.member` ids

then [id1]

else idComponents id1 ids)

comps

--

componentRelation :: Set.Set Id -> Set.Set (Id,[Id])

componentRelation ids =

Set.image (\id -> (id,idComponents id ids)) ids

-}

mapID :: Pos -> Map.Map Id (Set.Set Id) -> Id -> Result Id

mapID pos idmap id@(Id toks comps pos1) =

case Map.lookup id idmap of

Nothing -> do

compsnew <- sequence $ map (mapID pos idmap) comps

return (Id toks compsnew pos1)

Just ids -> case Set.size ids of

0 -> return id

1 -> return $ Set.findMin ids

_ -> pplain_error id

(ptext "Identifier component " <+> printText id

<+> ptext "can be mapped in various ways:"

<+> printText ids) pos

extID1 :: Pos -> Map.Map Id (Set.Set Id) -> Id

-> Result (Map.EndoMap Id) -> Result (Map.EndoMap Id)

extID1 pos idmap id@(Id toks comps pos1) m = do

m1 <- m

compsnew <- sequence $ map (mapID pos idmap) comps

if comps==compsnew

then return m1

else return (Map.insert id (Id toks compsnew pos1) m1)

extID :: Pos -> Set.Set Id -> Map.Map Id (Set.Set Id) -> Result (Map.EndoMap Id)

extID pos ids idmap =

Set.fold (extID1 pos idmap) (return Map.empty) ids

extendMorphism :: Pos -> G_sign -> G_sign -> G_sign -> G_morphism

-> Result(G_sign,G_morphism)

extendMorphism pos (G_sign lid sigmaP) (G_sign lidB sigmaB1)

(G_sign lidA sigmaA1) (G_morphism lidM fittingMor1) = do

-- for now, only homogeneous instantiations....

sigmaB <- rcoerce lidB lid pos sigmaB1

sigmaA <- rcoerce lidA lid pos sigmaA1

fittingMor <- rcoerce lidM lid pos fittingMor1

let symsP = sym_of lid sigmaP

symsB = sym_of lid sigmaB

idsB = Set.image (sym_name lid) symsB

h = symmap_of lid fittingMor

symbMapToRawSymbMap =

Map.foldWithKey (\sy1 sy2 -> Map.insert (symbol_to_raw lid sy1)

(symbol_to_raw lid sy2))

Map.empty

rh = symbMapToRawSymbMap h

idh = Map.foldWithKey

(\sy1 sy2 -> Map.setInsert (sym_name lid sy1) (sym_name lid sy2))

Map.empty h

idhExt <- extID pos idsB idh

let rIdExt = Map.foldWithKey

(\id1 id2 -> Map.insert (id_to_raw lid id1) (id_to_raw lid id2))

Map.empty

(foldr (\id -> Map.delete id) idhExt $ Map.keys idh)

r = rh `Map.union` rIdExt

-- do we need combining function catching the clashes???

mor <- induced_from_morphism lid r sigmaB

let hmor = symmap_of lid mor

sigmaAD = cod lid mor

sigma <- final_union lid sigmaA sigmaAD

let illShared = (sym_of lid sigmaA `Set.intersection` sym_of lid sigmaAD )

Set.\\ Map.image h symsP

when (not (Set.isEmpty illShared))

(pplain_error () (ptext

"Symbols shared between actual parameter and body must be in formal parameter"

$$ printText illShared) pos)

let newIdentifications = Map.kernel hmor Set.\\ Map.kernel h

Set.\\ Set.fromList (map (\x -> (x,x)) (Map.keys hmor))

when (not (Set.isEmpty newIdentifications))

(pplain_error () (ptext

"Fitting morphism leads to forbidden identifications"

$$ printText newIdentifications) pos)

incl <- inclusion lid sigmaAD sigma

mor1 <- maybeToResult pos

("extendMorphism: composition of two morphisms failed:"

++showPretty mor "\n" ++ showPretty incl "")

$ comp lid mor incl

return (G_sign lid sigma, G_morphism lid mor1)

apply_GS :: Pos -> ExtGenSig -> [(G_morphism,NodeSig)] -> Result(G_sign,G_morphism)

apply_GS pos (nsigI,params,gsigmaP,nsigB) args = do

let mor_i = map fst args

gsigmaA_i = map (getSig . snd) args

gsigmaB = getSig nsigB

gsigmaI = getSig nsigI

G_sign lidI sigmaI <- return gsigmaI

let idI = ide lidI sigmaI

gsigmaA <- homogeneousGsigManyUnion pos gsigmaA_i

mor_f <- homogeneousMorManyUnion pos (G_morphism lidI idI:mor_i)

extendMorphism pos gsigmaP gsigmaB gsigmaA mor_f

-- | analyze a GENERICITY

-- Parameters: global context, current logic, just-structure-flag, GENERICITY

ana_GENERICITY :: LogicGraph -> GlobalContext -> AnyLogic -> Bool

-> GENERICITY

-> Result (GENERICITY,ExtGenSig,DGraph)

-- zero parameters,

ana_GENERICITY _ (_,_,dg) l@(Logic lid) _

gen@(Genericity (Params []) (Imported imps) pos) = do

when (not (null imps))

(plain_error () "Parameterless specifications must not have imports"

(headPos pos))

return (gen,(EmptyNode l,[],G_sign lid (empty_signature lid),EmptyNode l),dg)

-- one parameter ...

ana_GENERICITY lg gctx@(gannos,genv,_) l just_struct

(Genericity (Params [asp]) imps pos) = do

(imps',nsigI,dg') <- ana_IMPORTS lg gctx l just_struct imps

(sp',nsigP,dg'') <- ana_SPEC lg (gannos,genv,dg') nsigI Nothing just_struct (item asp)

return (Genericity (Params [replaceAnnoted sp' asp]) imps' pos,

(nsigI,[nsigP],getSig nsigP,nsigP),

dg'')

-- ... and more parameters

ana_GENERICITY lg gctx@(gannos,genv,_) l just_struct

(Genericity params imps pos) = do

(imps',nsigI,dg') <- ana_IMPORTS lg gctx l just_struct imps

(params',nsigPs,dg'') <-

ana_PARAMS lg (gannos,genv,dg') l nsigI just_struct params

gsigmaP <- homogeneousGsigManyUnion (headPos pos) (map getSig nsigPs)

G_sign lidP _ <- return gsigmaP

let node_contents = DGNode {

dgn_name = Nothing,

dgn_sign = gsigmaP, -- G_sign lidP (empty_signature lidP),

dgn_sens = G_l_sentence_list lidP [],

dgn_origin = DGFormalParams }

[node] = newNodes 0 dg''

dg''' = insNode (node,node_contents) dg''

inslink dgres nsig = do

dg <- dgres

case getNode nsig of

Nothing -> return dg

Just n -> do

incl <- ginclusion lg (getSig nsig) gsigmaP

return (insEdge (n,node,DGLink {

dgl_morphism = incl,

dgl_type = GlobalDef,

dgl_origin = DGFormalParams }) dg)

dg4 <- foldl inslink (return dg''') nsigPs

return (Genericity params' imps' pos,

(nsigI,nsigPs,gsigmaP,NodeSig(node,gsigmaP)),

dg4)

ana_PARAMS :: LogicGraph -> GlobalContext -> AnyLogic -> NodeSig -> Bool

-> PARAMS

-> Result (PARAMS,[NodeSig],DGraph)

ana_PARAMS lg (gannos,genv,dg) _ nsigI just_struct (Params asps) = do

(sps',pars,dg') <- foldl ana (return ([],[],dg)) (map item asps)

return (Params (map (uncurry replaceAnnoted)

(zip (reverse sps') asps)),

reverse pars,

dg')

where

ana res sp = do

(sps',pars,dg1) <- res

(sp',par,dg') <- ana_SPEC lg (gannos,genv,dg1) nsigI Nothing just_struct sp

return (sp':sps',par:pars,dg')

ana_IMPORTS :: LogicGraph -> GlobalContext -> AnyLogic -> Bool -> IMPORTED

-> Result (IMPORTED,NodeSig,DGraph)

ana_IMPORTS lg gctx l just_struct (Imported asps) = do

let sp = Union asps (map (\_ -> (newPos "p" 0 0)) asps)

(Union asps' _,nsig',dg') <-

ana_SPEC lg gctx (EmptyNode l) Nothing just_struct sp

return (Imported asps',nsig',dg')

-- ??? emptyExplicit stuff needs to be added here

-- | analyze a VIEW_TYPE

-- The first three arguments give the global context

-- The AnyLogic is the current logic

-- The NodeSig is the signature of the parameter of the view

-- flag, whether just the structure shall be analysed

ana_VIEW_TYPE:: LogicGraph -> GlobalContext -> AnyLogic -> NodeSig -> Bool

-> VIEW_TYPE

-> Result (VIEW_TYPE,(NodeSig,NodeSig),DGraph)

ana_VIEW_TYPE lg gctx@(gannos,genv,_) l parSig just_struct

(View_type aspSrc aspTar pos) = do

(spSrc',srcNsig,dg') <-

ana_SPEC lg gctx (EmptyNode l) Nothing just_struct (item aspSrc)

(spTar',tarNsig,dg'') <-

ana_SPEC lg (gannos,genv,dg') parSig Nothing just_struct (item aspTar)

return (View_type (replaceAnnoted spSrc' aspSrc)

(replaceAnnoted spTar' aspTar)

pos,

(srcNsig,tarNsig),

dg'')

-- | Auxiliary function for not yet implemented features

ana_err :: String -> a

ana_err fname =

error ("*** Analysis of " ++ fname ++ " is not yet implemented!")