-- needs ghc -fglasgow-exts

{- HetCATS/Grothendieck.hs

$Id$

Till Mossakowski

The Grothendieck logic is defined to be the

heterogeneous logic over the logic graph.

This will be the logic over which the data

structures and algorithms for specification in-the-large

are built.

References:

R. Diaconescu:

Grothendieck institutions

J. applied categorical structures, to appear

T. Mossakowski:

Heterogeneous development graphs and heterogeneous borrowing

Fossacs 2002, LNCS 2303

T. Mossakowski: Simplified heterogeneous specification

Submitted

Todo:

-}

module Grothendieck where

import Logic

import LogicGraph

import Dynamic

data Grothendieck = Grothendieck

data G_basic_spec = forall id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol .

Logic id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol =>

G_basic_spec id basic_spec

data G_sentence = forall id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol .

Logic id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol =>

G_sentence id sentence

data G_sign = forall id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol .

Logic id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol =>

G_sign id sign

data G_morphism = forall id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol .

Logic id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol =>

G_morphism id morphism

data G_symbol = forall id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol .

Logic id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol =>

G_symbol id symbol

data G_symb_items = forall id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol .

Logic id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol =>

G_symb_items id symb_items

data G_symb_items_list = forall id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol .

Logic id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol =>

G_symb_items_list id [symb_items]

data G_symb_map_items = forall id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol .

Logic id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol =>

G_symb_map_items id symb_map_items

data G_symb_map_items_list = forall id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol .

Logic id sublogics

basic_spec sentence symb_items symb_map_items

local_env sign morphism symbol raw_symbol =>

G_symb_map_items_list id [symb_map_items]

homogenize_symb_items :: [G_symb_items] -> Maybe G_symb_items_list

homogenize_symb_items [] = Nothing

homogenize_symb_items (G_symb_items i (s::symb_map_items) : rest) =

maybe Nothing

(\l -> Just (G_symb_items_list i l))

( sequence (Just s :

map (\(G_symb_items _ si) -> coerce si::Maybe symb_map_items) rest) )