{-# LANGUAGE MultiParamTypeClasses, FunctionalDependencies,

FlexibleInstances #-}

module CombLogic where

import ModalLogic

import Data.List

data Box b c = Box b (Boole c)

-- data BBox b c = BBox b (Boole c) (Boole c)

{- | Class for Formulas where

- a is the "input" logic type

- b is the index type corresponding to a

- c is the "result" logic type

-}

class Form a b c | a -> b, a -> c where

extract :: Form a b c => a -> Box b c

instance Eq l => Form (K l) () l where

extract (K f) = Box () f

instance Eq l => Form (KD l) () l where

extract (KD f) = Box () f

instance Eq l => Form (G l) Int l where

extract (G i f) = Box i f