module SMCDEL.Examples.DrinkLogic where

import SMCDEL.Language
import SMCDEL.Symbolic.S5

thirstyScene :: Int -> KnowScene
thirstyScene n = (KnS [P 1..P n] (boolBddOf Top) [ (show i,[P i]) | i <- [1..n] ], [P 1..P n])

thirstyF :: Int -> Form
thirstyF n = Conj [ Conj [ doesNotKnow k | k <- [1..n] ]
                  , pubAnnounceStack [ doesNotKnow i | i<-[1..(n-1)] ] $ K (show n) allWantBeer ]
  where
    allWantBeer   = Conj [ PrpF $ P k | k <- [1..n] ]
    doesNotKnow i = Neg $ Kw (show i) allWantBeer

thirstyCheck :: Int -> Bool
thirstyCheck n = evalViaBdd (thirstyScene n) (thirstyF n)