{- |

Module : $Header$

Description : A parser for the SPASS Input Syntax

Copyright : (c) C. Immanuel Normann, Heng Jiang, C.Maeder, Uni Bremen 2007

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

Maintainer : Christian.Maeder@dfki.de

Stability : provisional

Portability : portable

A parser for the SPASS Input Syntax taken from

<http://spass.mpi-sb.mpg.de/download/binaries/spass-input-syntax15.pdf >.

-}

module SoftFOL.DFGParser (parseSPASS) where

import Text.ParserCombinators.Parsec

import SoftFOL.Sign

import Common.AS_Annotation

import Common.Id

import Common.Lexer

import qualified Data.Map as Map

import Data.Char (isSpace)

-- begin helpers ----------------------------------------------------------

wordChar :: Parser Char

wordChar = alphaNum <|> oneOf "_"

anyWord :: Parser String

anyWord = do

c <- wordChar

r <- many wordChar

whiteSpace

return $ c : r

reservedList :: [String]

reservedList = ["end_of_list", "sort", "subsort", "predicate"]

identifierS :: Parser String

identifierS = try $ anyWord >>=

(\ s -> if elem s reservedList then unexpected $ show s else return s)

identifierT :: Parser Token

identifierT = bind (\ p s -> Token s (Range [p])) getPos identifierS

arityT :: Parser Int

arityT = fmap read $ many1 digit <|> try (string "-1" << notFollowedBy digit)

commentLine :: Parser ()

commentLine = char '%' >> manyTill anyChar newline >> return ()

whiteSpace :: Parser ()

whiteSpace = skipMany $ (satisfy isSpace >> return ()) <|> commentLine

symbolT :: String -> Parser String

symbolT s = try (string s) << whiteSpace

keywordT :: String -> Parser String

keywordT s = try (string s << notFollowedBy wordChar) << whiteSpace

dot :: Parser String

dot = symbolT "."

comma :: Parser String

comma = symbolT ","

commaSep :: Parser a -> Parser [a]

commaSep p = sepBy1 p comma

parens :: Parser a -> Parser a

parens p = symbolT "(" >> p << symbolT ")"

squares :: Parser a -> Parser a

squares p = symbolT "[" >> p << symbolT "]"

parensDot :: Parser a -> Parser a

parensDot p = symbolT "(" >> p << symbolT ")."

squaresDot :: Parser a -> Parser a

squaresDot p = symbolT "[" >> p << symbolT "]."

text :: Parser [Char]

text = fmap (reverse . dropWhile isSpace . reverse) $

symbolT "{*" >> (manyTill anyChar $ symbolT "*}")

list_of :: [Char] -> Parser String

list_of sort = symbolT $ "list_of_" ++ sort

list_of_dot :: [Char] -> Parser String

list_of_dot sort = list_of (sort ++ ".")

end_of_list :: Parser String

end_of_list = symbolT "end_of_list."

mapTokensToData :: [(String, a)] -> Parser a

mapTokensToData ls = choice (map tokenToData ls)

where tokenToData (s,t) = keywordT s >> return t

maybeParser :: Parser a -> Parser (Maybe a)

maybeParser = option Nothing . fmap Just

-- end helpers ----------------------------------------------------------

-- ** SPASS Problem

{- |

This is the main function of the module

-}

{-

begin_problem(Unknown).list_of_descriptions.name({* Test *}).author({* me *}).status(satisfiable).description({* nothing CNF generated by FLOTTER V 2.8 *}).end_of_list.list_of_symbols.predicates[(a, 0), (b, 0)].end_of_list.list_of_clauses(axioms, cnf).clause(or(not(a),b),1).clause(or(not(b),not(a)),2).end_of_list.list_of_clauses(conjectures, cnf).end_of_list.list_of_settings(SPASS).{*set_ClauseFormulaRelation((1,axiom0),(2,axiom1)).*}end_of_list.end_problem.

-}

parseSPASS :: Parser SPProblem

parseSPASS = whiteSpace >> problem

problem :: Parser SPProblem

problem = do

symbolT "begin_problem"

i <- parensDot identifierT

dl <- description_list

lp <- logical_part

s <- setting_list

symbolT "end_problem."

many anyChar

eof

return SPProblem

{ identifier = i

, description = dl

, logicalPart = lp

, settings = s}

-- ** SPASS Desciptions

{- | A description is mandatory for a SPASS problem. It has to specify

at least a 'name', the name of the 'author', the 'status' (see also

'SPLogState' below), and a (verbose) description. -}

description_list :: Parser SPDescription

description_list = do

list_of_dot "descriptions"

keywordT "name"

n <- parensDot text

keywordT "author"

a <- parensDot text

v <- maybeParser (keywordT "version" >> parensDot text)

l <- maybeParser (keywordT "logic" >> parensDot text)

s <- keywordT "status" >> parensDot (mapTokensToData

[ ("satisfiable", SPStateSatisfiable)

, ("unsatisfiable", SPStateUnsatisfiable)

, ("unknown", SPStateUnknown)])

keywordT "description"

de <- parensDot text

da <- maybeParser (keywordT "date" >> parensDot text)

end_of_list

return SPDescription

{ name = n

, author = a

, version = v

, logic = l

, status = s

, desc = de

, date = da }

-- ** SPASS Logical Parts

{- |

A SPASS logical part consists of a symbol list, a declaration list, and a

set of formula lists. Support for clause lists and proof lists hasn't

been implemented yet.

-}

logical_part :: Parser SPLogicalPart

logical_part = do

sl <- maybeParser symbol_list

dl <- maybeParser declaration_list

fs <- many formula_list

cl <- many clause_list

pl <- many proof_list

return SPLogicalPart

{ symbolList = sl

, declarationList = dl

, formulaLists = fs

, clauseLists = cl

, proofLists = pl }

-- *** Symbol List

{- |

SPASS Symbol List

-}

symbol_list :: Parser SPSymbolList

symbol_list = do

list_of_dot "symbols"

fs <- option [] (signSymFor "functions")

ps <- option [] (signSymFor "predicates")

ss <- option [] sortSymFor

end_of_list

return emptySymbolList

{ functions = fs

, predicates = ps

, sorts = ss }

{-

"list_of_symbols.functions[(f,2), (a,0), (b,0), (c,0)].predicates[(F,2)].end_of_list."

-}

signSymFor :: String -> Parser [SPSignSym]

signSymFor kind = keywordT kind >> squaresDot

(commaSep $ parens signSym <|> fmap SPSimpleSignSym identifierT)

sortSymFor :: Parser [SPSignSym]

sortSymFor = keywordT "sorts" >> squaresDot

(commaSep $ fmap SPSimpleSignSym identifierT)

signSym :: Parser SPSignSym

signSym = do

s <- identifierT

comma

a <- arityT

return SPSignSym {sym = s, arity = a}

func_list :: Parser [SPIdentifier]

func_list = squaresDot $ commaSep identifierT

-- *** Formula List

{- |

SPASS Formula List

-}

formula_list :: Parser SPFormulaList

formula_list = do

list_of "formulae"

ot <- parensDot $ mapTokensToData

[ ("axioms", SPOriginAxioms)

, ("conjectures", SPOriginConjectures)]

fs <- many (formula (case ot of {SPOriginAxioms -> True; _ -> False}))

end_of_list

return SPFormulaList { originType = ot, formulae = fs }

{-

"list_of_formulae(axioms).formula(all([a,b],R(a,b)),bla).end_of_list."

-}

clause_list :: Parser SPClauseList

clause_list = do

list_of "clauses"

(ot, ct) <- parensDot $ do

ot <- mapTokensToData

[ ("axioms", SPOriginAxioms)

, ("conjectures", SPOriginConjectures)]

comma

ct <- mapTokensToData [("cnf", SPCNF), ("dnf", SPDNF)]

return (ot, ct)

fs <- many $ clause ct $ case ot of

SPOriginAxioms -> True

_ -> False

end_of_list

return SPClauseList

{ coriginType = ot

, clauseType = ct

, clauses = fs }

{-

"list_of_clauses(axioms, cnf). clause(or(not(a),b),1). clause(or(not(b),not(a)),2). end_of_list."

-}

clause :: SPClauseType -> Bool -> Parser SPClause

clause ct bool = keywordT "clause" >> parensDot (do

sen <- clauseFork ct

cname <- (option "" (comma >> identifierS))

return (makeNamed cname sen) { isAxiom = bool })

-- propagated from 'origin_type' of 'list_of_formulae'

clauseFork :: SPClauseType -> Parser NSPClause

clauseFork ct = do

termWsList1@(TWL ls b) <- term_ws_list

do symbolT "||"

termWsList2 <- term_ws_list

symbolT "->"

termWsList3 <- term_ws_list

return (BriefClause termWsList1 termWsList2 termWsList3)

<|> case ls of

[t] | not b -> toNSPClause ct t

_ -> unexpected "clause term"

toNSPClause :: Monad m => SPClauseType -> SPTerm -> m NSPClause

toNSPClause ct t = case t of

SPQuantTerm q vl l | q == SPForall && ct == SPCNF

|| q == SPExists && ct == SPDNF -> do

b <- toClauseBody ct l

return $ QuanClause vl b

_ -> do

b <- toClauseBody ct t

return $ SimpleClause b

term_ws_list :: Parser TermWsList

term_ws_list = do

twl <- many term

p <- maybeParser (symbolT "+")

return (TWL twl (maybe False (const True) p))

formula :: Bool -> Parser (Named SoftFOL.Sign.SPTerm)

formula bool = keywordT "formula" >> parensDot (do

sen <- term

fname <- option "" (comma >> identifierS)

return (makeNamed fname sen) { isAxiom = bool })

-- propagated from 'origin_type' of 'list_of_formulae'

{-

list_of_declarations.subsort(even,nat).even(zero).forall([nat(x)],nat(s(x))).forall([nat(x),nat(y)],nat(plus(x,y))).forall([even(x),even(y)],even(plus(x,y))).forall([even(x)],even(s(s(x)))).forall([nat(y)],even(plus(y,y))).end_of_list.

-}

declaration_list :: Parser [SPDeclaration]

declaration_list = do

list_of_dot "declarations"

decl <- many declaration

end_of_list

return decl

declaration :: Parser SPDeclaration

declaration = do

keywordT "sort"

sortName <- identifierT

maybeFreely <- option False (keywordT "freely" >> return True)

keywordT "generated by"

funList <- func_list

return SPGenDecl

{ sortSym = sortName

, freelyGenerated = maybeFreely

, funcList = funList }

<|> do

keywordT "subsort"

(s1, s2) <- parensDot $ do

s1 <- identifierT

comma

s2 <- identifierT

return (s1, s2)

return SPSubsortDecl { sortSymA = s1, sortSymB = s2 }

<|> do

keywordT "predicate"

(pn, sl) <- parensDot $ do

pn <- identifierT

comma

sl <- commaSep $ identifierT

return (pn, sl)

return SPPredDecl { predSym = pn, sortSyms = sl }

<|> do

t <- term

dot

return $ case t of

SPQuantTerm SPForall tlist tb ->

SPTermDecl { termDeclTermList = tlist, termDeclTerm = tb }

_ -> SPSimpleTermDecl t

-- SPASS Proof List

{-

list_of_proof(SPASS).step(10,forall([V,U,W],or(equal(U,V),equal(V,skf1(W)),P(W,U))),SpR,[3,1]).step(36,forall([V,U],or(equal(U,V),equal(V,skf1(skf1(U))))),GeR,[10,2]).step(43,forall([V,U],or(equal(U,V),P(skf1(U),V))),SpR,[36,1]).step(58,forall([V,U],or(not(P(U,skf1(V))),equal(V,U))),SpL,[36,2]).step(86,forall([V,U],or(equal(U,skf1(V)),equal(V,skf1(U)))),GeR,[43,58]).step(87,forall([U],or(not(equal(U,U)),equal(skf1(U),U))),EqF,[86,86]).step(124,forall([U],or(equal(skf1(U),U))),Obv,[87]).step(129,forall([U],or(P(U,U))),Rew,[124,1]).step(130,forall([U],or(not(P(U,U)))),Rew,[124,2]).step(213,or(false),ClR,[129,130]).end_of_list.

-}

proof_list :: Parser SPProofList

proof_list = do

list_of "proof"

pa <- maybeParser $ parensDot $ do

pt <- maybeParser getproofType

assocList <- option Map.empty (comma >> assoc_list)

return (pt, assocList)

steps <- many proof_step

end_of_list

return $ case pa of

Nothing -> SPProofList

{ proofType = Nothing

, plAssocList = Map.empty

, step = steps}

Just (pt, mal) -> SPProofList

{ proofType = pt

, plAssocList = mal

, step = steps}

getproofType :: Parser SPIdentifier

getproofType = identifierT

assoc_list :: Parser SPAssocList

assoc_list = fmap Map.fromList $ squares ( commaSep $ takeTroop )

where takeTroop = do

key <- getKey

symbolT ":"

val <- getValue

return (key, val)

getKey :: Parser SPKey

getKey = fmap PKeyTerm term

getValue :: Parser SPValue

getValue = fmap PValTerm term

proof_step :: Parser SPProofStep

proof_step = do

keywordT "step"

(ref, res, rule, pl, mal) <- parensDot takeStep

return SPProofStep

{ reference = ref

, result = res

, ruleAppl = rule

, parentList = pl

, stepAssocList = mal}

where takeStep = do

ref <- getReference

comma

res <- getResult

comma

rule <- getRuleAppl

comma

pl <- getParentList

mal <- option Map.empty (comma >> assoc_list)

return (ref, res, rule, pl, mal)

getReference = fmap PRefTerm term

getResult = fmap PResTerm term

getRuleAppl = do

t <- term

let r = PRuleTerm t

return $ case t of

SPSimpleTerm (SPCustomSymbol ide) -> case lookup (tokStr ide)

$ map ( \ z -> (show z, z))

[GeR, SpL,

SpR, EqF,

Rew, Obv,

EmS, SoR,

EqR, Mpm,

SPm, OPm,

SHy, OHy,

URR, Fac,

Spt, Inp,

Con, RRE,

SSi, ClR,

UnC, Ter] of

Just u -> PRuleUser u

Nothing -> r

_ -> r

getParentList = squares (commaSep $ getParent)

getParent = fmap PParTerm term

-- SPASS Settings.

setting_list :: Parser [SPSetting]

setting_list = many setting

setting :: Parser SPSetting

setting = do

list_of_dot "general_settings"

entriesList <- many setting_entry

end_of_list

return SPGeneralSettings {entries = entriesList}

<|> do

list_of "settings"

slabel <- parensDot getLabel

symbolT "{*"

t <- many clauseFormulaRelation

symbolT "*}"

end_of_list

return SPSettings {settingName = slabel, settingBody = t}

setting_entry :: Parser SPHypothesis

setting_entry = do

keywordT "hypothesis"

slabels <- squaresDot (commaSep identifierT)

return (SPHypothesis slabels)

getLabel :: Parser SPSettingLabel

getLabel = mapTokensToData $ map ( \ z -> (showSettingLabel z, z))

[KIV, LEM, OTTER, PROTEIN, SATURATE, ThreeTAP, SETHEO, SPASS]

-- SPASS Clause-Formula Relation

clauseFormulaRelation :: Parser SPSettingBody

clauseFormulaRelation = do

keywordT "set_ClauseFormulaRelation"

cfr <- parensDot $ flip sepBy comma $ parens $ do

i1 <- identifierS

comma

i2 <- identifierS

return $ SPCRBIND i1 i2

return (SPClauseRelation cfr)

<|> do

t' <- identifierS

al <- parensDot (commaSep identifierS)

return (SPFlag t' al)

-- *** Terms

{- |

A SPASS Term.

-}

term :: Parser SPTerm

term = do

i <- identifierT

let iStr = tokStr i

case lookup iStr [("true", SPTrue), ("false", SPFalse)] of

Just s -> return $ SPSimpleTerm s

Nothing -> do

let s = SPCustomSymbol i

option (SPSimpleTerm s) $ do

(ts, as@(a : _)) <- parens $ do

ts <- option [] (squares (commaSep term) << comma)

as <- if null ts then commaSep term

else fmap (: []) term

return (ts, as)

if null ts then if elem iStr [ "forall", "exists", "true", "false"]

then unexpected $ show iStr else return SPComplexTerm

{ symbol = case lookup iStr $ map ( \ z -> (showSPSymbol z, z))

[ SPEqual

, SPOr

, SPAnd

, SPNot

, SPImplies

, SPImplied

, SPEquiv] of

Just ks -> ks

Nothing -> s

, arguments = as}

else return SPQuantTerm

{ quantSym = case lookup iStr

[("forall", SPForall), ("exists", SPExists)] of

Just q -> q

Nothing -> SPCustomQuantSym i

, variableList = ts, qFormula = a }

toLiteral :: SPTerm -> SPLiteral

toLiteral t = case t of

SPComplexTerm SPNot [arg] -> SPLiteral False arg

_ -> SPLiteral True t

toClauseBody :: Monad m => SPClauseType -> SPTerm -> m NSPClauseBody

toClauseBody b t = case t of

SPComplexTerm n ls | b == SPCNF && n == SPOr || b == SPDNF && n == SPAnd ->

return $ NSPClauseBody b $ map toLiteral ls

_ -> fail $ "expected " ++ show b ++ "-application"