Copyright	(c) Levent Erkok
License	BSD3
Maintainer	erkokl@gmail.com
Stability	experimental
Safe Haskell	None
Language	Haskell2010

Documentation.SBV.Examples.Puzzles.Rabbits

Description

A puzzle, attributed to Lewis Caroll:

All rabbits, that are not greedy, are black
No old rabbits are free from greediness
Therefore: Some black rabbits are not old

What's implicit here is that there is a rabbit that must be not-greedy; which we add to our constraints.

Synopsis

Documentation

data Rabbit Source #

A universe of rabbits

Instances

Instances details

Arbitrary Rabbit Source #
Instance details Defined in Documentation.SBV.Examples.Puzzles.Rabbits Methods arbitrary :: Gen Rabbit # shrink :: Rabbit -> [Rabbit] #
SymVal Rabbit Source #
Instance details Defined in Documentation.SBV.Examples.Puzzles.Rabbits Methods mkSymVal :: MonadSymbolic m => VarContext -> Maybe String -> m (SBV Rabbit) Source # mkSymValInit :: State -> SBV Rabbit -> IO () Source # literal :: Rabbit -> SBV Rabbit Source # fromCV :: CV -> Rabbit Source # isConcretely :: SBV Rabbit -> (Rabbit -> Bool) -> Bool Source # minMaxBound :: Maybe (Rabbit, Rabbit) Source # free :: MonadSymbolic m => String -> m (SBV Rabbit) Source # free_ :: MonadSymbolic m => m (SBV Rabbit) Source # mkFreeVars :: MonadSymbolic m => Int -> m [SBV Rabbit] Source # symbolic :: MonadSymbolic m => String -> m (SBV Rabbit) Source # symbolics :: MonadSymbolic m => [String] -> m [SBV Rabbit] Source # unliteral :: SBV Rabbit -> Maybe Rabbit Source # unlitCV :: SBV Rabbit -> Maybe (Kind, CVal) Source # isConcrete :: SBV Rabbit -> Bool Source # isSymbolic :: SBV Rabbit -> Bool Source #
HasKind Rabbit Source #
Instance details Defined in Documentation.SBV.Examples.Puzzles.Rabbits Methods kindOf :: Rabbit -> Kind Source # hasSign :: Rabbit -> Bool Source # intSizeOf :: Rabbit -> Int Source # isBoolean :: Rabbit -> Bool Source # isBounded :: Rabbit -> Bool Source # isReal :: Rabbit -> Bool Source # isFloat :: Rabbit -> Bool Source # isDouble :: Rabbit -> Bool Source # isRational :: Rabbit -> Bool Source # isFP :: Rabbit -> Bool Source # isUnbounded :: Rabbit -> Bool Source # isADT :: Rabbit -> Bool Source # isChar :: Rabbit -> Bool Source # isString :: Rabbit -> Bool Source # isList :: Rabbit -> Bool Source # isSet :: Rabbit -> Bool Source # isTuple :: Rabbit -> Bool Source # isArray :: Rabbit -> Bool Source # isRoundingMode :: Rabbit -> Bool Source # isUninterpreted :: Rabbit -> Bool Source # showType :: Rabbit -> String Source #

cv2Rabbit :: String -> [CV] -> Rabbit Source #

Conversion from SMT values to Rabbit values.

_undefiner_Rabbit :: a Source #

Autogenerated definition to avoid unused-variable warnings from GHC.

type SRabbit = SBV Rabbit Source #

Symbolic version of the type Rabbit.

greedy :: SRabbit -> SBool Source #

Identify those rabbits that are greedy. Note that we leave the predicate uninterpreted.

black :: SRabbit -> SBool Source #

Identify those rabbits that are black. Note that we leave the predicate uninterpreted.

old :: SRabbit -> SBool Source #

Identify those rabbits that are old. Note that we leave the predicate uninterpreted.

rabbits :: Predicate Source #

Express the puzzle.

rabbitsAreOK :: IO ThmResult Source #

Prove the claim. We have:

>>> rabbitsAreOK
Q.E.D.