Comorphism.hs revision 24a0fbb77b860bc28d25be37ba555fd5746cb6d6
8a77240a809197c92c0736c431b4b88947a7bac1Christian Maeder{-# LANGUAGE MultiParamTypeClasses, FunctionalDependencies, DeriveDataTypeable
8a77240a809197c92c0736c431b4b88947a7bac1Christian Maeder , FlexibleInstances, UndecidableInstances, ExistentialQuantification #-}
306763c67bb99228487345b32ab8c5c6cd41f23cChristian MaederModule : $Header$
3a6c7a7ff823616f56cd3d205fc44664a683effdChristian MaederDescription : interface and class for logic translations
6ea54752d184beb92c92fbae17ae9f7dd065d988Christian MaederCopyright : (c) Till Mossakowski, Uni Bremen 2002-2006
98890889ffb2e8f6f722b00e265a211f13b5a861Corneliu-Claudiu ProdescuLicense : GPLv2 or higher, see LICENSE.txt
2eeec5240b424984e3ee26296da1eeab6c6d739eChristian MaederMaintainer : till@informatik.uni-bremen.de
306763c67bb99228487345b32ab8c5c6cd41f23cChristian MaederStability : provisional
306763c67bb99228487345b32ab8c5c6cd41f23cChristian MaederPortability : non-portable (via Logic)
9f87aabedf02d74917d94fe1ac0300e07d3d4bc2Christian MaederCentral interface (type class) for logic translations (comorphisms) in Hets
44fb55f639914f4f531641f32dd4904f15c510a4Till Mossakowski These are just collections of
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski functions between (some of) the types of logics.
af0cbe339851fc558d2b18cde3666981325e667cTill Mossakowski References: see Logic.hs
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder ( CompComorphism (..)
1bc5dccbf0083a620ae1181c717fea75e4af5e5cChristian Maeder , InclComorphism
1bc5dccbf0083a620ae1181c717fea75e4af5e5cChristian Maeder , inclusion_logic
1bc5dccbf0083a620ae1181c717fea75e4af5e5cChristian Maeder , inclusion_source_sublogic
1bc5dccbf0083a620ae1181c717fea75e4af5e5cChristian Maeder , inclusion_target_sublogic
1bc5dccbf0083a620ae1181c717fea75e4af5e5cChristian Maeder , mkInclComorphism
1bc5dccbf0083a620ae1181c717fea75e4af5e5cChristian Maeder , mkIdComorphism
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder , Comorphism (..)
1bc5dccbf0083a620ae1181c717fea75e4af5e5cChristian Maeder , targetSublogic
1bc5dccbf0083a620ae1181c717fea75e4af5e5cChristian Maeder , wrapMapTheory
1bc5dccbf0083a620ae1181c717fea75e4af5e5cChristian Maeder , mkTheoryMapping
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder , AnyComorphism (..)
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder , idComorphism
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder , isIdComorphism
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder , isModelTransportable
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder , hasModelExpansion
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder , isWeaklyAmalgamable
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder , compComorphism
63324a97283728a30932828a612c7b0b0f687624Christian Maederimport qualified Data.Set as Set
59fa9b1349ae1e001d996da732c4ac805c2938e2Christian Maederclass (Language cid,
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski Logic lid1 sublogics1
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski basic_spec1 sentence1 symb_items1 symb_map_items1
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski sign1 morphism1 symbol1 raw_symbol1 proof_tree1,
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski Logic lid2 sublogics2
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder basic_spec2 sentence2 symb_items2 symb_map_items2
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski sign2 morphism2 symbol2 raw_symbol2 proof_tree2) =>
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski Comorphism cid
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski lid1 sublogics1 basic_spec1 sentence1 symb_items1 symb_map_items1
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski sign1 morphism1 symbol1 raw_symbol1 proof_tree1
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski lid2 sublogics2 basic_spec2 sentence2 symb_items2 symb_map_items2
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski sign2 morphism2 symbol2 raw_symbol2 proof_tree2
3a87487c048b275c56e502c4a933273788e8d0bbChristian Maeder | cid -> lid1 sublogics1 basic_spec1 sentence1 symb_items1 symb_map_items1
2b565fe5cfb9f99857fd25b52304758d8544e266Mihai Codescu sign1 morphism1 symbol1 raw_symbol1 proof_tree1
2b565fe5cfb9f99857fd25b52304758d8544e266Mihai Codescu lid2 sublogics2 basic_spec2 sentence2 symb_items2 symb_map_items2
2b565fe5cfb9f99857fd25b52304758d8544e266Mihai Codescu sign2 morphism2 symbol2 raw_symbol2 proof_tree2
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder {- source and target logic and sublogic
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder the source sublogic is the maximal one for which the comorphism works -}
4184cb191a9081cb2a9cf3ef5f060f56f0ca5922Till Mossakowski sourceLogic :: cid -> lid1
8731f7b93b26083dc34a2c0937cd6493b42f2c2cTill Mossakowski sourceSublogic :: cid -> sublogics1
24a0fbb77b860bc28d25be37ba555fd5746cb6d6Christian Maeder minSourceTheory :: cid -> Maybe (LibName, String)
24a0fbb77b860bc28d25be37ba555fd5746cb6d6Christian Maeder minSourceTheory _ = Nothing
4184cb191a9081cb2a9cf3ef5f060f56f0ca5922Till Mossakowski targetLogic :: cid -> lid2
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder {- finer information of target sublogics corresponding to source sublogics
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder this function must be partial because mapTheory is partial -}
bba825b39570777866d560bfde3807731131097eKlaus Luettich mapSublogic :: cid -> sublogics1 -> Maybe sublogics2
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder {- the translation functions are partial
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder because the target may be a sublanguage
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder map_basic_spec :: cid -> basic_spec1 -> Result basic_spec2
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder cover theoroidal comorphisms as well -}
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian Maeder map_theory :: cid -> (sign1, [Named sentence1])
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian Maeder -> Result (sign2, [Named sentence2])
a89e661aad28f1b39f4fc9f9f9a4d46074234123Christian Maeder map_morphism :: cid -> morphism1 -> Result morphism2
3d86f079b07a6a058cdd6c112d287e01a69d9c0cChristian Maeder map_morphism = mapDefaultMorphism
a89e661aad28f1b39f4fc9f9f9a4d46074234123Christian Maeder map_sentence :: cid -> sign1 -> sentence1 -> Result sentence2
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder {- also covers semi-comorphisms
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder with no sentence translation
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder - but these are spans! -}
b60a22e76e983e8129c5dae4d713fe2794ed7054Christian Maeder map_sentence = failMapSentence
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu map_symbol :: cid -> sign1 -> symbol1 -> Set.Set symbol2
b60a22e76e983e8129c5dae4d713fe2794ed7054Christian Maeder map_symbol = errMapSymbol
a975722baf6fee1ca3e67df170c732c4abd0a945Christian Maeder extractModel :: cid -> sign1 -> proof_tree2
a975722baf6fee1ca3e67df170c732c4abd0a945Christian Maeder -> Result (sign1, [Named sentence1])
a975722baf6fee1ca3e67df170c732c4abd0a945Christian Maeder extractModel cid _ _ = fail
a975722baf6fee1ca3e67df170c732c4abd0a945Christian Maeder $ "extractModel not implemented for comorphism "
63324a97283728a30932828a612c7b0b0f687624Christian Maeder ++ language_name cid
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian Maeder -- properties of comorphisms
a98fd29a06e80e447af26d898044c23497adbc73Mihai Codescu is_model_transportable :: cid -> Bool
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder {- a comorphism (\phi, \alpha, \beta) is model-transportable
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder if for any signature \Sigma,
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder any \Sigma-model M and any \phi(\Sigma)-model N
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder for any isomorphism h : \beta_\Sigma(N) -> M
b5056cf24da461ee868c4be7b803a76b677fa21dChristian Maeder there exists an isomorphism h': N -> M' such that \beta_\Sigma(h') = h -}
f2c050360525df494e6115073b0edc4c443a847cMihai Codescu is_model_transportable _ = False
b60a22e76e983e8129c5dae4d713fe2794ed7054Christian Maeder has_model_expansion :: cid -> Bool
f2c050360525df494e6115073b0edc4c443a847cMihai Codescu has_model_expansion _ = False
b60a22e76e983e8129c5dae4d713fe2794ed7054Christian Maeder is_weakly_amalgamable :: cid -> Bool
f2c050360525df494e6115073b0edc4c443a847cMihai Codescu is_weakly_amalgamable _ = False
0e51a998b1b213654c7a9eca451562041971f100Till Mossakowski constituents :: cid -> [String]
0e51a998b1b213654c7a9eca451562041971f100Till Mossakowski constituents cid = [language_name cid]
b60a22e76e983e8129c5dae4d713fe2794ed7054Christian Maeder isInclusionComorphism :: cid -> Bool
b60a22e76e983e8129c5dae4d713fe2794ed7054Christian Maeder isInclusionComorphism _ = False
5c358300e78157f4bfaf5415c70e1096a9205b61Christian MaedertargetSublogic :: Comorphism cid
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder lid1 sublogics1 basic_spec1 sentence1 symb_items1 symb_map_items1
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder sign1 morphism1 symbol1 raw_symbol1 proof_tree1
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder lid2 sublogics2 basic_spec2 sentence2 symb_items2 symb_map_items2
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder sign2 morphism2 symbol2 raw_symbol2 proof_tree2
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder => cid -> sublogics2
27166b063721ef1a2efd8f00ab3d9bc820b315fbChristian MaedertargetSublogic cid = fromMaybe (top_sublogic $ targetLogic cid)
27166b063721ef1a2efd8f00ab3d9bc820b315fbChristian Maeder $ mapSublogic cid $ sourceSublogic cid
9f87aabedf02d74917d94fe1ac0300e07d3d4bc2Christian Maeder-- | this function is base on 'map_theory' using no sentences as input
19298cbfd6ee2abd904f3181af7760b965b822c3Christian Maedermap_sign :: Comorphism cid
19298cbfd6ee2abd904f3181af7760b965b822c3Christian Maeder lid1 sublogics1 basic_spec1 sentence1 symb_items1 symb_map_items1
19298cbfd6ee2abd904f3181af7760b965b822c3Christian Maeder sign1 morphism1 symbol1 raw_symbol1 proof_tree1
19298cbfd6ee2abd904f3181af7760b965b822c3Christian Maeder lid2 sublogics2 basic_spec2 sentence2 symb_items2 symb_map_items2
19298cbfd6ee2abd904f3181af7760b965b822c3Christian Maeder sign2 morphism2 symbol2 raw_symbol2 proof_tree2
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian Maeder => cid -> sign1 -> Result (sign2, [Named sentence2])
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian Maedermap_sign cid sign = wrapMapTheory cid (sign, [])
5c358300e78157f4bfaf5415c70e1096a9205b61Christian MaedermapDefaultMorphism :: Comorphism cid
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder lid1 sublogics1 basic_spec1 sentence1 symb_items1 symb_map_items1
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder sign1 morphism1 symbol1 raw_symbol1 proof_tree1
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder lid2 sublogics2 basic_spec2 sentence2 symb_items2 symb_map_items2
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder sign2 morphism2 symbol2 raw_symbol2 proof_tree2
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder => cid -> morphism1 -> Result morphism2
5c358300e78157f4bfaf5415c70e1096a9205b61Christian MaedermapDefaultMorphism cid mor = do
4c7f058cdd19ce67b2b5d4b7f69703d0f8a21e38Christian Maeder (sig1, _) <- map_sign cid $ dom mor
4c7f058cdd19ce67b2b5d4b7f69703d0f8a21e38Christian Maeder (sig2, _) <- map_sign cid $ cod mor
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder inclusion (targetLogic cid) sig1 sig2
5c358300e78157f4bfaf5415c70e1096a9205b61Christian MaederfailMapSentence :: Comorphism cid
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder lid1 sublogics1 basic_spec1 sentence1 symb_items1 symb_map_items1
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder sign1 morphism1 symbol1 raw_symbol1 proof_tree1
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder lid2 sublogics2 basic_spec2 sentence2 symb_items2 symb_map_items2
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder sign2 morphism2 symbol2 raw_symbol2 proof_tree2
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder => cid -> sign1 -> sentence1 -> Result sentence2
5c358300e78157f4bfaf5415c70e1096a9205b61Christian MaederfailMapSentence cid _ _ =
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder fail $ "Unsupported sentence translation " ++ show cid
5c358300e78157f4bfaf5415c70e1096a9205b61Christian MaedererrMapSymbol :: Comorphism cid
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder lid1 sublogics1 basic_spec1 sentence1 symb_items1 symb_map_items1
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder sign1 morphism1 symbol1 raw_symbol1 proof_tree1
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder lid2 sublogics2 basic_spec2 sentence2 symb_items2 symb_map_items2
5c358300e78157f4bfaf5415c70e1096a9205b61Christian Maeder sign2 morphism2 symbol2 raw_symbol2 proof_tree2
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu => cid -> sign1 -> symbol1 -> Set.Set symbol2
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai CodescuerrMapSymbol cid _ _ = error $ "no symbol mapping for " ++ show cid
9f87aabedf02d74917d94fe1ac0300e07d3d4bc2Christian Maeder-- | use this function instead of 'map_theory'
b1f59a4ea7c96f4c03a4d7cfcb9c5e66871cfbbbChristian MaederwrapMapTheory :: Comorphism cid
6ea54752d184beb92c92fbae17ae9f7dd065d988Christian Maeder lid1 sublogics1 basic_spec1 sentence1 symb_items1 symb_map_items1
6ea54752d184beb92c92fbae17ae9f7dd065d988Christian Maeder sign1 morphism1 symbol1 raw_symbol1 proof_tree1
6ea54752d184beb92c92fbae17ae9f7dd065d988Christian Maeder lid2 sublogics2 basic_spec2 sentence2 symb_items2 symb_map_items2
6ea54752d184beb92c92fbae17ae9f7dd065d988Christian Maeder sign2 morphism2 symbol2 raw_symbol2 proof_tree2
6ea54752d184beb92c92fbae17ae9f7dd065d988Christian Maeder => cid -> (sign1, [Named sentence1])
6ea54752d184beb92c92fbae17ae9f7dd065d988Christian Maeder -> Result (sign2, [Named sentence2])
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian MaederwrapMapTheory cid (sign, sens) =
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian Maeder let res = map_theory cid (sign, sens)
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian Maeder lid1 = sourceLogic cid
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian Maeder thDoc = show (vcat $ pretty sign : map (print_named lid1) sens)
255f43c567972176c2078e3de2fb7a2798bcfde0Christian Maeder if isIdComorphism $ Comorphism cid then res else case sourceSublogic cid of
9f87aabedf02d74917d94fe1ac0300e07d3d4bc2Christian Maeder sub -> case minSublogic sign of
9f87aabedf02d74917d94fe1ac0300e07d3d4bc2Christian Maeder sigLog -> case foldl join sigLog
9f87aabedf02d74917d94fe1ac0300e07d3d4bc2Christian Maeder $ map (minSublogic . sentence) sens of
9f87aabedf02d74917d94fe1ac0300e07d3d4bc2Christian Maeder if isSubElem senLog sub
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian Maeder [ Diag Hint thDoc nullRange
27166b063721ef1a2efd8f00ab3d9bc820b315fbChristian Maeder ("for '" ++ language_name cid ++
6ea54752d184beb92c92fbae17ae9f7dd065d988Christian Maeder "' expected sublogic '" ++
4ef5e33657aae95850b7e6941f67ac1fb73cd13fChristian Maeder sublogicName sub ++
6ea54752d184beb92c92fbae17ae9f7dd065d988Christian Maeder "'\n but found sublogic '" ++
4ef5e33657aae95850b7e6941f67ac1fb73cd13fChristian Maeder sublogicName senLog ++
6ea54752d184beb92c92fbae17ae9f7dd065d988Christian Maeder "' with signature sublogic '" ++
27166b063721ef1a2efd8f00ab3d9bc820b315fbChristian Maeder sublogicName sigLog ++ "'") nullRange] Nothing
b5056cf24da461ee868c4be7b803a76b677fa21dChristian MaedermkTheoryMapping :: Monad m => (sign1 -> m (sign2, [Named sentence2]))
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder -> (sign1 -> sentence1 -> m sentence2)
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder -> (sign1, [Named sentence1])
19298cbfd6ee2abd904f3181af7760b965b822c3Christian Maeder -> m (sign2, [Named sentence2])
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian MaedermkTheoryMapping mapSig mapSen (sign, sens) = do
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian Maeder (sign', sens') <- mapSig sign
19298cbfd6ee2abd904f3181af7760b965b822c3Christian Maeder sens'' <- mapM (mapNamedM $ mapSen sign) sens
a129422b14eea673dc481d2553cec108e35e72efChristian Maeder return (sign', nameAndDisambiguate $ sens' ++ sens'')
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maederdata InclComorphism lid sublogics = InclComorphism
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder { inclusion_logic :: lid
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder , inclusion_source_sublogic :: sublogics
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder , inclusion_target_sublogic :: sublogics }
3946c010d94321f14139e12061dd4261a3cc7295Christian Maeder deriving Show
eb0e19a83d8e3eaeb936c197555b20d37129022cKlaus Luettich-- | construction of an identity comorphism
eb0e19a83d8e3eaeb936c197555b20d37129022cKlaus LuettichmkIdComorphism :: (Logic lid sublogics
eb0e19a83d8e3eaeb936c197555b20d37129022cKlaus Luettich basic_spec sentence symb_items symb_map_items
eb0e19a83d8e3eaeb936c197555b20d37129022cKlaus Luettich sign morphism symbol raw_symbol proof_tree) =>
6ca6ffc92f5c0058ae4b92d46e4e8cbc7beb11fcMihai Codescu lid -> sublogics -> InclComorphism lid sublogics
556f473448dfcceee22afaa89ed7a364489cdbbbChristian MaedermkIdComorphism lid sub = InclComorphism
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder { inclusion_logic = lid
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder , inclusion_source_sublogic = sub
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder , inclusion_target_sublogic = sub }
eb0e19a83d8e3eaeb936c197555b20d37129022cKlaus Luettich-- | construction of an inclusion comorphism
eb0e19a83d8e3eaeb936c197555b20d37129022cKlaus LuettichmkInclComorphism :: (Logic lid sublogics
eb0e19a83d8e3eaeb936c197555b20d37129022cKlaus Luettich basic_spec sentence symb_items symb_map_items
eb0e19a83d8e3eaeb936c197555b20d37129022cKlaus Luettich sign morphism symbol raw_symbol proof_tree,
da955132262baab309a50fdffe228c9efe68251dCui Jian lid -> sublogics -> sublogics
eb0e19a83d8e3eaeb936c197555b20d37129022cKlaus Luettich -> m (InclComorphism lid sublogics)
eb0e19a83d8e3eaeb936c197555b20d37129022cKlaus LuettichmkInclComorphism lid srcSub trgSub =
da955132262baab309a50fdffe228c9efe68251dCui Jian if isSubElem srcSub trgSub
27166b063721ef1a2efd8f00ab3d9bc820b315fbChristian Maeder then return InclComorphism
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder { inclusion_logic = lid
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder , inclusion_source_sublogic = srcSub
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder , inclusion_target_sublogic = trgSub }
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian Maeder else fail ("mkInclComorphism: first sublogic must be a " ++
eb0e19a83d8e3eaeb936c197555b20d37129022cKlaus Luettich "subElem of the second sublogic")
3946c010d94321f14139e12061dd4261a3cc7295Christian Maederinstance (Language lid, Eq sublogics, Show sublogics, SublogicName sublogics)
3946c010d94321f14139e12061dd4261a3cc7295Christian Maeder => Language (InclComorphism lid sublogics) where
3946c010d94321f14139e12061dd4261a3cc7295Christian Maeder language_name (InclComorphism lid sub_src sub_trg) =
3946c010d94321f14139e12061dd4261a3cc7295Christian Maeder let sblName = sublogicName sub_src
3946c010d94321f14139e12061dd4261a3cc7295Christian Maeder lname = language_name lid
3946c010d94321f14139e12061dd4261a3cc7295Christian Maeder in if sub_src == sub_trg
3946c010d94321f14139e12061dd4261a3cc7295Christian Maeder then "id_" ++ lname ++
27166b063721ef1a2efd8f00ab3d9bc820b315fbChristian Maeder if null sblName then "" else '.' : sblName
27166b063721ef1a2efd8f00ab3d9bc820b315fbChristian Maeder else "incl_" ++ lname ++ ':'
27166b063721ef1a2efd8f00ab3d9bc820b315fbChristian Maeder : sblName ++ "->" ++ sublogicName sub_trg
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowskiinstance Logic lid sublogics
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski basic_spec sentence symb_items symb_map_items
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski sign morphism symbol raw_symbol proof_tree =>
6ca6ffc92f5c0058ae4b92d46e4e8cbc7beb11fcMihai Codescu Comorphism (InclComorphism lid sublogics)
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski lid sublogics
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski basic_spec sentence symb_items symb_map_items
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski sign morphism symbol raw_symbol proof_tree
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski lid sublogics
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski basic_spec sentence symb_items symb_map_items
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder sign morphism symbol raw_symbol proof_tree
eb0e19a83d8e3eaeb936c197555b20d37129022cKlaus Luettich sourceLogic = inclusion_logic
eb0e19a83d8e3eaeb936c197555b20d37129022cKlaus Luettich targetLogic = inclusion_logic
eb0e19a83d8e3eaeb936c197555b20d37129022cKlaus Luettich sourceSublogic = inclusion_source_sublogic
3fb8a83c3c06671ee94fd12a1782b14563d09df1Christian Maeder mapSublogic cid subl =
3fb8a83c3c06671ee94fd12a1782b14563d09df1Christian Maeder if isSubElem subl $ inclusion_source_sublogic cid
3fb8a83c3c06671ee94fd12a1782b14563d09df1Christian Maeder then Just subl
19298cbfd6ee2abd904f3181af7760b965b822c3Christian Maeder map_theory _ = return
a89e661aad28f1b39f4fc9f9f9a4d46074234123Christian Maeder map_morphism _ = return
27166b063721ef1a2efd8f00ab3d9bc820b315fbChristian Maeder map_sentence _ _ = return
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu map_symbol _ _ = Set.singleton
da955132262baab309a50fdffe228c9efe68251dCui Jian constituents cid =
da955132262baab309a50fdffe228c9efe68251dCui Jian if inclusion_source_sublogic cid
da955132262baab309a50fdffe228c9efe68251dCui Jian == inclusion_target_sublogic cid
da955132262baab309a50fdffe228c9efe68251dCui Jian else [language_name cid]
a98fd29a06e80e447af26d898044c23497adbc73Mihai Codescu is_model_transportable _ = True
f2c050360525df494e6115073b0edc4c443a847cMihai Codescu has_model_expansion _ = True
f2c050360525df494e6115073b0edc4c443a847cMihai Codescu is_weakly_amalgamable _ = True
b60a22e76e983e8129c5dae4d713fe2794ed7054Christian Maeder isInclusionComorphism _ = True
d85e3f253f6af237c4b70bbfacb1bfecb5cfa678Christian Maederdata CompComorphism cid1 cid2 = CompComorphism cid1 cid2 deriving Show
ca8550c6d47234042130bdc10a152806ecbc9832Christian Maederinstance (Language cid1, Language cid2)
d85e3f253f6af237c4b70bbfacb1bfecb5cfa678Christian Maeder => Language (CompComorphism cid1 cid2) where
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder language_name (CompComorphism cid1 cid2) =
4ef5e33657aae95850b7e6941f67ac1fb73cd13fChristian Maeder language_name cid1 ++ ";" ++ language_name cid2
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowskiinstance (Comorphism cid1
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski lid1 sublogics1 basic_spec1 sentence1 symb_items1 symb_map_items1
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski sign1 morphism1 symbol1 raw_symbol1 proof_tree1
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski lid2 sublogics2 basic_spec2 sentence2 symb_items2 symb_map_items2
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder sign2 morphism2 symbol2 raw_symbol2 proof_tree2,
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski Comorphism cid2
d85e3f253f6af237c4b70bbfacb1bfecb5cfa678Christian Maeder lid4 sublogics4 basic_spec4 sentence4 symb_items4 symb_map_items4
d85e3f253f6af237c4b70bbfacb1bfecb5cfa678Christian Maeder sign4 morphism4 symbol4 raw_symbol4 proof_tree4
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski lid3 sublogics3 basic_spec3 sentence3 symb_items3 symb_map_items3
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski sign3 morphism3 symbol3 raw_symbol3 proof_tree3)
d85e3f253f6af237c4b70bbfacb1bfecb5cfa678Christian Maeder => Comorphism (CompComorphism cid1 cid2)
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski lid1 sublogics1 basic_spec1 sentence1 symb_items1 symb_map_items1
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski sign1 morphism1 symbol1 raw_symbol1 proof_tree1
e9249d3ecd51a2b6a966a58669953e58d703adc6Till Mossakowski lid3 sublogics3 basic_spec3 sentence3 symb_items3 symb_map_items3
d85e3f253f6af237c4b70bbfacb1bfecb5cfa678Christian Maeder sign3 morphism3 symbol3 raw_symbol3 proof_tree3 where
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder sourceLogic (CompComorphism cid1 _) =
f7819aa9d183836144a98c70d4fa7d65e31cb513Till Mossakowski sourceLogic cid1
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder targetLogic (CompComorphism _ cid2) =
f7819aa9d183836144a98c70d4fa7d65e31cb513Till Mossakowski targetLogic cid2
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder sourceSublogic (CompComorphism cid1 _) =
8731f7b93b26083dc34a2c0937cd6493b42f2c2cTill Mossakowski sourceSublogic cid1
bba825b39570777866d560bfde3807731131097eKlaus Luettich mapSublogic (CompComorphism cid1 cid2) sl =
da955132262baab309a50fdffe228c9efe68251dCui Jian mapSublogic cid1 sl >>=
27166b063721ef1a2efd8f00ab3d9bc820b315fbChristian Maeder mapSublogic cid2 .
27166b063721ef1a2efd8f00ab3d9bc820b315fbChristian Maeder forceCoerceSublogic (targetLogic cid1) (sourceLogic cid2)
27166b063721ef1a2efd8f00ab3d9bc820b315fbChristian Maeder map_sentence (CompComorphism cid1 cid2) si1 se1 =
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian Maeder do (si2, _) <- map_sign cid1 si1
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder se2 <- map_sentence cid1 si1 se1
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder (si2', se2') <- coerceBasicTheory
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder (targetLogic cid1) (sourceLogic cid2)
c44c23429c72f3a709e22a18f2ed6f05fc8cc765Christian Maeder "Mapping sentence along comorphism" (si2, [makeNamed "" se2])
922819b1c2d383a0fa5d70e1c4aa76667e2f1ca3Christian Maeder [x] -> map_sentence cid2 si2' $ sentence x
27166b063721ef1a2efd8f00ab3d9bc820b315fbChristian Maeder map_theory (CompComorphism cid1 cid2) ti1 =
5bb3727ef464d9f08ab0decb2d4a59c1352a389eChristian Maeder do ti2 <- map_theory cid1 ti1
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder ti2' <- coerceBasicTheory (targetLogic cid1) (sourceLogic cid2)
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder "Mapping theory along comorphism" ti2
6ea54752d184beb92c92fbae17ae9f7dd065d988Christian Maeder wrapMapTheory cid2 ti2'
27166b063721ef1a2efd8f00ab3d9bc820b315fbChristian Maeder map_morphism (CompComorphism cid1 cid2) m1 =
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder do m2 <- map_morphism cid1 m1
922819b1c2d383a0fa5d70e1c4aa76667e2f1ca3Christian Maeder m3 <- coerceMorphism (targetLogic cid1) (sourceLogic cid2)
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian Maeder "Mapping signature morphism along comorphism" m2
d85e3f253f6af237c4b70bbfacb1bfecb5cfa678Christian Maeder map_morphism cid2 m3
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu map_symbol (CompComorphism cid1 cid2) sig1 = let
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu th = map_sign cid1 sig1 in
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu case maybeResult th of
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu Nothing -> error "failed translating signature"
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu Just (sig2', _) -> let
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu th2 = coerceBasicTheory
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu (targetLogic cid1) (sourceLogic cid2)
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu "Mapping symbol along comorphism" (sig2', [])
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu in case maybeResult th2 of
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu Nothing -> error "failed coercing"
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu Just (sig2, _) ->
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu let mycast = coerceSymbol (targetLogic cid1) (sourceLogic cid2)
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu (map (map_symbol cid2 sig2 . mycast)
83b3260413a3b1b7dee1f9c4d3249dec994a875cMihai Codescu (Set.toList (map_symbol cid1 sig1 s1)))
a975722baf6fee1ca3e67df170c732c4abd0a945Christian Maeder extractModel (CompComorphism cid1 cid2) sign pt3 =
53f347ab16f992d909f47a50bf2059f57f3c7ad0Christian Maeder let lid1 = sourceLogic cid1
0cd4575fe679a26de63d9a75a4d66d8366f79ab8Christian Maeder lid3 = sourceLogic cid2
0cd4575fe679a26de63d9a75a4d66d8366f79ab8Christian Maeder in if language_name lid1 == language_name lid3 then do
0cd4575fe679a26de63d9a75a4d66d8366f79ab8Christian Maeder bTh1 <- map_sign cid1 sign
0cd4575fe679a26de63d9a75a4d66d8366f79ab8Christian Maeder (sign1, _) <-
0cd4575fe679a26de63d9a75a4d66d8366f79ab8Christian Maeder coerceBasicTheory (targetLogic cid1) lid3 "extractModel1" bTh1
0cd4575fe679a26de63d9a75a4d66d8366f79ab8Christian Maeder bTh2 <- extractModel cid2 sign1 pt3
0cd4575fe679a26de63d9a75a4d66d8366f79ab8Christian Maeder coerceBasicTheory lid3 lid1 "extractModel2" bTh2
53f347ab16f992d909f47a50bf2059f57f3c7ad0Christian Maeder else fail $ "extractModel not implemented for comorphism composition with "
63324a97283728a30932828a612c7b0b0f687624Christian Maeder ++ language_name cid1
53310804002cd9e3c9c5844db3b984abcf001788Christian Maeder constituents (CompComorphism cid1 cid2) =
933baca0720dae81434de384b32a93b47e754d09Christian Maeder constituents cid1 ++ constituents cid2
da955132262baab309a50fdffe228c9efe68251dCui Jian is_model_transportable (CompComorphism cid1 cid2) =
a98fd29a06e80e447af26d898044c23497adbc73Mihai Codescu is_model_transportable cid1 && is_model_transportable cid2
da955132262baab309a50fdffe228c9efe68251dCui Jian has_model_expansion (CompComorphism cid1 cid2) =
f2c050360525df494e6115073b0edc4c443a847cMihai Codescu has_model_expansion cid1 && has_model_expansion cid2
da955132262baab309a50fdffe228c9efe68251dCui Jian is_weakly_amalgamable (CompComorphism cid1 cid2) =
da955132262baab309a50fdffe228c9efe68251dCui Jian is_weakly_amalgamable cid1 && is_weakly_amalgamable cid2
b60a22e76e983e8129c5dae4d713fe2794ed7054Christian Maeder isInclusionComorphism (CompComorphism cid1 cid2) =
b60a22e76e983e8129c5dae4d713fe2794ed7054Christian Maeder isInclusionComorphism cid1 && isInclusionComorphism cid2
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder-- * Comorphisms and existential types for the logic graph
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder-- | Existential type for comorphisms
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maederdata AnyComorphism = forall cid lid1 sublogics1
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder basic_spec1 sentence1 symb_items1 symb_map_items1
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder sign1 morphism1 symbol1 raw_symbol1 proof_tree1
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder lid2 sublogics2
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder basic_spec2 sentence2 symb_items2 symb_map_items2
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder sign2 morphism2 symbol2 raw_symbol2 proof_tree2 .
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder Comorphism cid
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder lid1 sublogics1 basic_spec1 sentence1
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder symb_items1 symb_map_items1
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder sign1 morphism1 symbol1 raw_symbol1 proof_tree1
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder lid2 sublogics2 basic_spec2 sentence2
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder symb_items2 symb_map_items2
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder sign2 morphism2 symbol2 raw_symbol2 proof_tree2 =>
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder Comorphism cid deriving Typeable -- used for GTheory
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maederinstance Eq AnyComorphism where
a9183ce3b997bf3539e427b3cd22d70c3565446eChristian Maeder a == b = compare a b == EQ
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maederinstance Ord AnyComorphism where
a9183ce3b997bf3539e427b3cd22d70c3565446eChristian Maeder compare (Comorphism cid1) (Comorphism cid2) = compare
a9183ce3b997bf3539e427b3cd22d70c3565446eChristian Maeder (language_name cid1, constituents cid1)
a9183ce3b997bf3539e427b3cd22d70c3565446eChristian Maeder (language_name cid2, constituents cid2)
a9183ce3b997bf3539e427b3cd22d70c3565446eChristian Maeder -- maybe needs to be refined, using comorphism translations?
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maederinstance Show AnyComorphism where
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder show (Comorphism cid) = language_name cid
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder ++ " : " ++ language_name (sourceLogic cid)
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder ++ " -> " ++ language_name (targetLogic cid)
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maederinstance Pretty AnyComorphism where
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder pretty = text . show
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder-- | compute the identity comorphism for a logic
556f473448dfcceee22afaa89ed7a364489cdbbbChristian MaederidComorphism :: AnyLogic -> AnyComorphism
556f473448dfcceee22afaa89ed7a364489cdbbbChristian MaederidComorphism (Logic lid) = Comorphism (mkIdComorphism lid (top_sublogic lid))
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder-- | Test whether a comporphism is the identity
556f473448dfcceee22afaa89ed7a364489cdbbbChristian MaederisIdComorphism :: AnyComorphism -> Bool
3946c010d94321f14139e12061dd4261a3cc7295Christian MaederisIdComorphism (Comorphism cid) = null $ constituents cid
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder-- * Properties of comorphisms
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder-- | Test whether a comorphism is model-transportable
556f473448dfcceee22afaa89ed7a364489cdbbbChristian MaederisModelTransportable :: AnyComorphism -> Bool
556f473448dfcceee22afaa89ed7a364489cdbbbChristian MaederisModelTransportable (Comorphism cid) = is_model_transportable cid
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder-- | Test whether a comorphism has model expansion
556f473448dfcceee22afaa89ed7a364489cdbbbChristian MaederhasModelExpansion :: AnyComorphism -> Bool
556f473448dfcceee22afaa89ed7a364489cdbbbChristian MaederhasModelExpansion (Comorphism cid) = has_model_expansion cid
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder-- | Test whether a comorphism is weakly amalgamable
556f473448dfcceee22afaa89ed7a364489cdbbbChristian MaederisWeaklyAmalgamable :: AnyComorphism -> Bool
556f473448dfcceee22afaa89ed7a364489cdbbbChristian MaederisWeaklyAmalgamable (Comorphism cid) = is_weakly_amalgamable cid
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder-- | Compose comorphisms
556f473448dfcceee22afaa89ed7a364489cdbbbChristian MaedercompComorphism :: Monad m => AnyComorphism -> AnyComorphism -> m AnyComorphism
556f473448dfcceee22afaa89ed7a364489cdbbbChristian MaedercompComorphism (Comorphism cid1) (Comorphism cid2) =
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder let l1 = targetLogic cid1
4ef5e33657aae95850b7e6941f67ac1fb73cd13fChristian Maeder l2 = sourceLogic cid2
4ef5e33657aae95850b7e6941f67ac1fb73cd13fChristian Maeder msg = "ogic mismatch in composition of " ++ language_name cid1
4ef5e33657aae95850b7e6941f67ac1fb73cd13fChristian Maeder ++ " and " ++ language_name cid2
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder if language_name l1 == language_name l2 then
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder if isSubElem (forceCoerceSublogic l1 l2 $ targetSublogic cid1)
556f473448dfcceee22afaa89ed7a364489cdbbbChristian Maeder $ sourceSublogic cid2
fd496ec12c6be2731410ea84111f1ff88d8b6384Christian Maeder then return $ Comorphism (CompComorphism cid1 cid2)
4ef5e33657aae95850b7e6941f67ac1fb73cd13fChristian Maeder else fail $ "Subl" ++ msg
27166b063721ef1a2efd8f00ab3d9bc820b315fbChristian Maeder else fail $ 'L' : msg