{-

Module : ./ExtModal/AS_ExtModal.der.hs

Description : Abstract syntax for extended modal logic

Copyright :

License :

Maintainer :

Stability :

Portability :

-}

module ExtModal.AS_ExtModal where

import Common.Id

import Common.AS_Annotation

import CASL.AS_Basic_CASL

-- DrIFT command

{-! global: GetRange !-}

type EM_BASIC_SPEC = BASIC_SPEC EM_BASIC_ITEM EM_SIG_ITEM EM_FORMULA

type AnEModForm = Annoted (FORMULA EM_FORMULA)

data EM_BASIC_ITEM =

Simple_mod_decl Bool [Annoted SIMPLE_ID] [AnEModForm] Range

-- True if time modality, False if not

| Nominal_decl [Annoted SIMPLE_ID] Range

deriving Show

data MODALITY = Simple_modality SIMPLE_ID |

Composition MODALITY MODALITY |

Union MODALITY MODALITY |

TransitiveClosure MODALITY |

Guard (FORMULA EM_FORMULA)

deriving (Eq, Ord, Show)

data RIGOR = Rigid | Flexible deriving Show

data EM_SIG_ITEM =

Rigid_op_items RIGOR [Annoted (OP_ITEM EM_FORMULA)] Range

-- pos: op, semi colons

| Rigid_pred_items RIGOR [Annoted (PRED_ITEM EM_FORMULA)] Range

-- pos: pred, semi colons

deriving Show

data NOMINAL = Annoted SIMPLE_ID deriving (Show, Eq, Ord)

data LeqOrGeq = Leq | Geq deriving (Show, Eq, Ord)

data Hybrid = At | Here deriving (Show, Eq, Ord)

data UntilSince = Until | Since deriving (Show, Eq, Ord)

data PathQuantification = AllPaths | SomePath deriving (Show, Eq, Ord)

data NextY = Next | Yesterday deriving (Show, Eq, Ord)

data StateQuantification = Generally | Eventually | Hitherto | Previously deriving (Show, Eq, Ord)

data FixedPoint = Mu | Nu deriving (Show, Eq, Ord)

data EM_FORMULA = BoxOrDiamond Bool MODALITY LeqOrGeq Bool Int (FORMULA EM_FORMULA) Range |

-- The first identifier and the term specify the kind of the modality

-- pos: "[]" or "<>", True if Box, False if Diamond;

-- The second identifier is used for grading:

-- pos: "<=" or ">=", True if Leq (less than/equal), False if Geq (greater than/equal), positive integers

Hybrid Bool NOMINAL (FORMULA EM_FORMULA) Range |

-- True if @, False if Here

-- pos: "@", "Here"

UntilSince Bool (FORMULA EM_FORMULA) (FORMULA EM_FORMULA) Range |

-- pos: "Until", "Since", True if Until, False if Since

PathQuantification Bool (FORMULA EM_FORMULA) Range |

-- pos: "A", "E", True if Universal (A), False if Existential (E)

NextY Bool (FORMULA EM_FORMULA) Range |

-- pos: "X", "Y", True if Next (X), False if Yesterday (Y)

StateQuantification Bool Bool (FORMULA EM_FORMULA) Range |

-- The time direction (past vs future) and quantification type must be given, as follows:

-- (True, True) if (Future, Universal), i.e. Generally (G);

-- (True, False) if (Future, Existential), i.e. Eventually (F);

-- (False, True) if (Past, Universal), i.e. Hitherto (H);

-- (False, False) if (Past, Existential), i.e. Previously (P);

-- pos: "G", "H", "F", "P"

FixedPoint Bool VAR (FORMULA EM_FORMULA) Range

-- pos: "mu", "nu", True if "mu", False if "nu"

deriving (Eq, Ord, Show)