prove feature, major refactoring
This commit is contained in:
parent
6fd6dd760c
commit
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4 changed files with 307 additions and 205 deletions
74
Main.hs
74
Main.hs
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@ -1,26 +1,72 @@
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module Main (main) where
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import Prelude (IO, String, getContents, lines, map, print,
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otherwise, Bool(..), filter, id, unlines,
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mapM_, ($), elem, notElem, (||), putStrLn, read, (.))
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import Ternary.Statement (Statement (..), st)
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import Ternary.Universum (Universum (..), universum)
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import Ternary.Vee (cleared, think)
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import System.Environment (getArgs)
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import Data.Foldable (Foldable)
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main2 :: Universum -> Bool -> IO ()
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main2 u onlyNew = do
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import Data.Foldable (Foldable, any)
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import Data.List (head, tail)
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import Data.Maybe (isNothing)
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import GHC.Base (Maybe (..), (==))
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import System.Environment (getArgs)
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import Ternary.Statement (Statement (..), st)
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import Ternary.Term (Item (..), Term (..))
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import Ternary.Universum (Universum (..), universum)
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import Ternary.Vee (cleared, hasContradiction, think)
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import Prelude
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( Bool (..),
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IO,
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String,
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elem,
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filter,
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getContents,
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id,
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lines,
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map,
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mapM_,
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notElem,
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otherwise,
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print,
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putStrLn,
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read,
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unlines,
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($),
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(.),
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(||),
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)
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mainSolve :: Universum -> Bool -> IO ()
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mainSolve u onlyNew = do
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strs <- getContents
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let statements = map str2vee . lines $ strs
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str2vee x = st (read x :: Statement String)
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mapM_ print
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. (if onlyNew then filter (`notElem` statements) else id)
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. cleared
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. think (universum u) $ statements
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. think (universum u)
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$ statements
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mainProve :: Universum -> Bool -> IO ()
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mainProve u onlyNew = do
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strs <- getContents
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let statements = map str2vee . tail . lines $ strs
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proveThis = str2vee . head . lines $ strs
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str2vee x = st (read x :: Statement String)
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results = cleared . think (universum u) $ statements
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anyContradictions = any (hasContradiction proveThis) results
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proof = swapNothingJF $ if anyContradictions then Nothing else Just (Item recalc == Item results)
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recalc = cleared . think (universum u) $ proveThis : statements
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swapNothingJF x
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| isNothing x = Just False
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| x == Just False = Nothing
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| x == Just True = Just True
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print recalc
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putStrLn ""
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print results
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putStrLn ""
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print proof
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withArgs :: (String -> Bool) -> IO ()
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withArgs a
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| a "-h" || a "--help" = putStrLn . unlines $
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| a "-h" || a "--help" =
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putStrLn . unlines $
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[ "Logical statement solver",
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"Usage: solver [PARAMETERS]",
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"",
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@ -40,7 +86,9 @@ withArgs a
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"Also there are A~, E~, O~, I~ with negated first part"
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]
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| a "--version" || a "-v" = putStrLn "v1.0.2"
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| otherwise = main2 uni onlyNew where
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| a "--prove" = mainProve Aristotle False
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| otherwise = mainSolve uni onlyNew
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where
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onlyNew = a "--new" || a "-n"
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uni =
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if a "-A" || a "--aristotle"
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@ -1,14 +1,18 @@
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module Ternary.Statement (Statement(..), st) where
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import Ternary.Term (Vee, Term(..), Item(..))
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data Statement a = A a a -- Affirmo (general affirmative)
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| I a a -- affIrmo (private affirmative)
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| E a a -- nEgo (general negative)
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| O a a -- negO (private negative)
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| A' a a
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| I' a a
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| E' a a
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| O' a a
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deriving (Eq, Show, Read)
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data StatementKind = A | I | E | O | A' | I' | E' | O' deriving (Eq, Show, Read)
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data Statement a = Statement StatementKind a a deriving (Eq, Read)
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instance Show a => Show (Statement a) where
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show (Statement A x y) = "Every " ++ show x ++ " is " ++ show y
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show (Statement I x y) = "Some of " ++ show x ++ " is " ++ show y
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show (Statement E x y) = "None of " ++ show x ++ " is " ++ show y
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show (Statement O x y) = "Some of " ++ show x ++ " isn't " ++ show y
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show (Statement A' x y) = "Every non-" ++ show x ++ " is " ++ show y
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show (Statement I' x y) = "Some of non-" ++ show x ++ " is " ++ show y
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show (Statement E' x y) = "None of non-" ++ show x ++ " is " ++ show y
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show (Statement O' x y) = "Some of non-" ++ show x ++ " isn't " ++ show y
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inv :: (Eq a) => Term a -> Term a
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inv (Term p x) = Term (not p) x
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@ -20,11 +24,11 @@ i v x y
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| x == y = Term v . Item $ [x]
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st :: (Eq a) => Statement a -> Vee a
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st (A x y) = i False (Term True x) (Term False y)
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st (I x y) = i True (Term True x) (Term True y)
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st (E x y) = i False (Term True x) (Term True y)
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st (O x y) = i True (Term True x) (Term False y)
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st (A' x y) = i False (Term False x) (Term False y)
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st (I' x y) = i True (Term False x) (Term True y)
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st (E' x y) = i False (Term False x) (Term True y)
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st (O' x y) = i True (Term False x) (Term False y)
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st (Statement A x y) = i False (Term True x) (Term False y)
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st (Statement I x y) = i True (Term True x) (Term True y)
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st (Statement E x y) = i False (Term True x) (Term True y)
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st (Statement O x y) = i True (Term True x) (Term False y)
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st (Statement A' x y) = i False (Term False x) (Term False y)
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st (Statement I' x y) = i True (Term False x) (Term True y)
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st (Statement E' x y) = i False (Term False x) (Term True y)
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st (Statement O' x y) = i True (Term False x) (Term False y)
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140
Ternary/Vee.hs
140
Ternary/Vee.hs
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@ -1,10 +1,48 @@
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module Ternary.Vee (isObvious, newFact, cleared, think) where
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import Data.List (head, intersect, length, nub, null, union, (\\))
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module Ternary.Vee (isObvious, hasContradiction, newFact, cleared, think) where
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import Data.Foldable (concatMap)
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import Data.List
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( elem,
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filter,
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head,
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intersect,
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iterate,
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length,
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nub,
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null,
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union,
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(\\),
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)
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import Data.Maybe (Maybe (Nothing), mapMaybe)
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import Prelude (Bool (False, True), Eq, any, foldr, fst, map,
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not, notElem, otherwise, return, snd, ($), (&&),
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(.), (/=), (<$>), (<*>), (=<<), (==))
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import GHC.Base ((<), (>))
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import GHC.Maybe (Maybe (..))
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import Ternary.Term (Item (..), Term (..), Vee)
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import Prelude
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( Bool (False, True),
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Eq,
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any,
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foldr,
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fst,
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map,
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not,
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notElem,
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otherwise,
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return,
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snd,
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($),
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(&&),
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(.),
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(/=),
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(<$>),
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(<*>),
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(=<<),
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(==),
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)
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type Knowledge a = [Vee a]
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type InferenceRule a = Vee a -> Vee a -> (Knowledge a, Maybe (Vee a))
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isSubsetOf :: (Eq a) => [a] -> [a] -> Bool
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a `isSubsetOf` b = nda && not ndb
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where
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@ -17,52 +55,64 @@ isObvious (Term x (Item a)) (Term y (Item b))
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| x = a `isSubsetOf` b
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| not x = b `isSubsetOf` a
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newFact :: (Eq a) => Vee a -> Vee a -> ([Vee a], Maybe (Vee a))
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hasContradiction :: (Eq a) => Vee a -> Vee a -> Bool
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hasContradiction (Term x (Item a)) (Term y (Item b))
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| a == b && x /= y = True
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| a `isSubsetOf` b && x < y = True
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| b `isSubsetOf` a && x > y = True
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| otherwise = False
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notT :: Term a -> Term a
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notT (Term x v) = Term (not x) v
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rulePosFromNeg :: (Eq a) => InferenceRule a
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rulePosFromNeg (Term False (Item negSet)) positive@(Term True (Item posSet))
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| length diff /= 1 = ([], Nothing)
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| missing `elem` posSet = ([], Nothing)
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| otherwise = ([positive], Just (Term True (Item (missing : posSet))))
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where
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diff = negSet \\ posSet
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missing = notT (head diff)
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ruleNegFromNeg :: (Eq a) => InferenceRule a
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ruleNegFromNeg (Term False (Item i0)) (Term False (Item i1))
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| length evidence /= 1 = ([], Nothing)
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| null diff0 && null diff1 = (map (Term False . Item) [i0, i1], Just (Term False (Item result)))
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| otherwise = ([], Just (Term False (Item result)))
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where
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evidence = map notT i0 `intersect` i1
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diff0 = (i0 \\ i1) \\ map notT evidence
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diff1 = (i1 \\ i0) \\ evidence
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result = (i0 `intersect` i1) `union` diff0 `union` diff1
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newFact :: (Eq a) => InferenceRule a
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newFact a@(Term True _) b@(Term False _) = newFact b a
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newFact (Term False (Item iF)) tT@(Term True (Item iT))
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| length ldF /= 1 = ([], Nothing)
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| otherwise =
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if d'F `notElem` iT
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then (return tT, return (Term True (Item (d'F:iT))))
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else ([], Nothing)
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where
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ldF = iF \\ iT
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d'F = notT . head $ ldF
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notT (Term x v) = Term (not x) v
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newFact (Term False (Item i0)) (Term False (Item i1))
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| length e /= 1 = ([], Nothing)
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| otherwise =
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if null d0 && null d1
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then (map (Term False . Item) [i0, i1], vee0)
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else ([], vee0)
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where
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notT (Term x v) = Term (not x) v
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terms = (i0 `intersect` i1) `union` d0 `union` d1
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e = map notT i0 `intersect` i1
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d0 = (i0 \\ i1) \\ map notT e
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d1 = (i1 \\ i0) \\ e
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vee0 = return (Term False (Item terms))
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newFact a@(Term False _) b@(Term True _) = rulePosFromNeg a b
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newFact a@(Term False _) b@(Term False _) = ruleNegFromNeg a b
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newFact _ _ = ([], Nothing)
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pseudofix :: (Eq a) => (a -> a) -> a -> a
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pseudofix f x0
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| y == y' = y
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| otherwise = y'
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next :: (Eq a) => (Knowledge a, Knowledge a) -> (Knowledge a, Knowledge a)
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next (old, new) = (old `union` new \\ used, added)
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where
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y = f x0
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y' = f y
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results = [newFact o n | o <- old, n <- new]
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used = concatMap fst results
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added = mapMaybe snd results
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next :: (Eq a) => ([Vee a], [Vee a]) -> ([Vee a], [Vee a])
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next (o,n) = (o `union` n \\ (fst =<< r), mapMaybe snd r)
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applyFacts :: (Eq a) => Knowledge a -> Knowledge a -> Knowledge a
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applyFacts old new =
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fst . head . dropStable $ iterate next (old, new)
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where
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r = newFact <$> o <*> n
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dropStable (x : y : xs)
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| x == y = [x]
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| otherwise = dropStable (y : xs)
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dropStable _ = []
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applyFacts :: (Eq a) => [Vee a] -> [Vee a] -> [Vee a]
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applyFacts old new = fst $ pseudofix next (old, new)
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cleared :: (Eq a) => Knowledge a -> Knowledge a
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cleared vees = nub $ filter (not . isRedundant) vees
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where
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isRedundant v = any (isObvious v) vees
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cleared :: (Eq a) => [Vee a] -> [Vee a]
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cleared vees = nub [vee | vee <- vees, not $ any (isObvious vee) vees]
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think :: (Eq a) => ([Vee a]->[Vee a]) -> [Vee a] -> [Vee a]
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think addition = foldr (applyFacts . withUni . return) [] where
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think :: (Eq a) => (Knowledge a -> Knowledge a) -> Knowledge a -> Knowledge a
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think addition = foldr (applyFacts . withUni . return) []
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where
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withUni vees = applyFacts (addition vees) vees
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192
Tests/syllotest
192
Tests/syllotest
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@ -1,96 +1,96 @@
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(A "y" "z", A "x" "y", A "x" "z")
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(A "y" "z", E' "x" "y", E' "x" "z")
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(E "y" "z", A "x" "y", E "x" "z")
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(E "y" "z", E' "x" "y", A' "x" "z")
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(A "y" "z", A "x" "y", I "x" "z")
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(A "y" "z", A "x" "y", I' "x" "z")
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(A "y" "z", E' "x" "y", O "x" "z")
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(A "y" "z", E' "x" "y", O' "x" "z")
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(E "y" "z", A "x" "y", O "x" "z")
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(E "y" "z", A "x" "y", O' "x" "z")
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(E "y" "z", E' "x" "y", I "x" "z")
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(E "y" "z", E' "x" "y", I' "x" "z")
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(A "y" "z", A' "x" "y", I "x" "z")
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(A "y" "z", E "x" "y", O' "x" "z")
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(E "y" "z", A' "x" "y", O "x" "z")
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(E "y" "z", E "x" "y", I' "x" "z")
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(A "y" "z", I "x" "y", I "x" "z")
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(A "y" "z", O' "x" "y", O' "x" "z")
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(E "y" "z", I "x" "y", O "x" "z")
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(E "y" "z", O' "x" "y", I' "x" "z")
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(I "y" "z", A' "x" "y", I "x" "z")
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(I "y" "z", E "x" "y", O' "x" "z")
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(O "y" "z", A' "x" "y", O "x" "z")
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(O "y" "z", E "x" "y", I' "x" "z")
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(A "z" "y", A' "x" "y", A' "x" "z")
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(A "z" "y", E "x" "y", E "x" "z")
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(E "z" "y", A "x" "y", E "x" "z")
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(E "z" "y", E' "x" "y", A' "x" "z")
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(A "z" "y", A' "x" "y", I "x" "z")
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(A "z" "y", A' "x" "y", I' "x" "z")
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(A "z" "y", E "x" "y", O "x" "z")
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(A "z" "y", E "x" "y", O' "x" "z")
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(E "z" "y", A "x" "y", O "x" "z")
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(E "z" "y", A "x" "y", O' "x" "z")
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(E "z" "y", E' "x" "y", I "x" "z")
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(E "z" "y", E' "x" "y", I' "x" "z")
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(A "z" "y", A "x" "y", I' "x" "z")
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(A "z" "y", E' "x" "y", O "x" "z")
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(E "z" "y", A' "x" "y", O "x" "z")
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(E "z" "y", E "x" "y", I' "x" "z")
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(A "z" "y", I' "x" "y", I' "x" "z")
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(A "z" "y", O "x" "y", O "x" "z")
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(E "z" "y", I "x" "y", O "x" "z")
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(E "z" "y", O' "x" "y", I' "x" "z")
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(I "z" "y", A' "x" "y", I "x" "z")
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(I "z" "y", E "x" "y", O' "x" "z")
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(O "z" "y", A "x" "y", O' "x" "z")
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(O "z" "y", E' "x" "y", I "x" "z")
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(A "y" "z", A' "y" "x", A "x" "z")
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(A "y" "z", E' "y" "x", E' "x" "z")
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(E "y" "z", A' "y" "x", E "x" "z")
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(E "y" "z", E' "y" "x", A' "x" "z")
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(A "y" "z", A' "y" "x", I "x" "z")
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(A "y" "z", A' "y" "x", I' "x" "z")
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(A "y" "z", E' "y" "x", O "x" "z")
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(A "y" "z", E' "y" "x", O' "x" "z")
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(E "y" "z", A' "y" "x", O "x" "z")
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(E "y" "z", A' "y" "x", O' "x" "z")
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(E "y" "z", E' "y" "x", I "x" "z")
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(E "y" "z", E' "y" "x", I' "x" "z")
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(A "y" "z", A "y" "x", I "x" "z")
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(A "y" "z", E "y" "x", O' "x" "z")
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(E "y" "z", A "y" "x", O "x" "z")
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(E "y" "z", E "y" "x", I' "x" "z")
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(A "y" "z", I "y" "x", I "x" "z")
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(A "y" "z", O "y" "x", O' "x" "z")
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(E "y" "z", I "y" "x", O "x" "z")
|
||||
(E "y" "z", O "y" "x", I' "x" "z")
|
||||
(I "y" "z", A "y" "x", I "x" "z")
|
||||
(I "y" "z", E "y" "x", O' "x" "z")
|
||||
(O "y" "z", A "y" "x", O "x" "z")
|
||||
(O "y" "z", E "y" "x", I' "x" "z")
|
||||
(A "z" "y", A "y" "x", A' "x" "z")
|
||||
(A "z" "y", E "y" "x", E "x" "z")
|
||||
(E "z" "y", A' "y" "x", E "x" "z")
|
||||
(E "z" "y", E' "y" "x", A' "x" "z")
|
||||
(A "z" "y", A "y" "x", I "x" "z")
|
||||
(A "z" "y", A "y" "x", I' "x" "z")
|
||||
(A "z" "y", E "y" "x", O "x" "z")
|
||||
(A "z" "y", E "y" "x", O' "x" "z")
|
||||
(E "z" "y", A' "y" "x", O "x" "z")
|
||||
(E "z" "y", A' "y" "x", O' "x" "z")
|
||||
(E "z" "y", E' "y" "x", I "x" "z")
|
||||
(E "z" "y", E' "y" "x", I' "x" "z")
|
||||
(A "z" "y", A' "y" "x", I' "x" "z")
|
||||
(A "z" "y", E' "y" "x", O "x" "z")
|
||||
(E "z" "y", A "y" "x", O "x" "z")
|
||||
(E "z" "y", E "y" "x", I' "x" "z")
|
||||
(A "z" "y", I' "y" "x", I' "x" "z")
|
||||
(A "z" "y", O' "y" "x", O "x" "z")
|
||||
(E "z" "y", I "y" "x", O "x" "z")
|
||||
(E "z" "y", O "y" "x", I' "x" "z")
|
||||
(I "z" "y", A "y" "x", I "x" "z")
|
||||
(I "z" "y", E "y" "x", O' "x" "z")
|
||||
(O "z" "y", A' "y" "x", O' "x" "z")
|
||||
(O "z" "y", E' "y" "x", I "x" "z")
|
||||
(Statement A "y" "z", Statement A "x" "y", Statement A "x" "z")
|
||||
(Statement A "y" "z", Statement E' "x" "y", Statement E' "x" "z")
|
||||
(Statement E "y" "z", Statement A "x" "y", Statement E "x" "z")
|
||||
(Statement E "y" "z", Statement E' "x" "y", Statement A' "x" "z")
|
||||
(Statement A "y" "z", Statement A "x" "y", Statement I "x" "z")
|
||||
(Statement A "y" "z", Statement A "x" "y", Statement I' "x" "z")
|
||||
(Statement A "y" "z", Statement E' "x" "y", Statement O "x" "z")
|
||||
(Statement A "y" "z", Statement E' "x" "y", Statement O' "x" "z")
|
||||
(Statement E "y" "z", Statement A "x" "y", Statement O "x" "z")
|
||||
(Statement E "y" "z", Statement A "x" "y", Statement O' "x" "z")
|
||||
(Statement E "y" "z", Statement E' "x" "y", Statement I "x" "z")
|
||||
(Statement E "y" "z", Statement E' "x" "y", Statement I' "x" "z")
|
||||
(Statement A "y" "z", Statement A' "x" "y", Statement I "x" "z")
|
||||
(Statement A "y" "z", Statement E "x" "y", Statement O' "x" "z")
|
||||
(Statement E "y" "z", Statement A' "x" "y", Statement O "x" "z")
|
||||
(Statement E "y" "z", Statement E "x" "y", Statement I' "x" "z")
|
||||
(Statement A "y" "z", Statement I "x" "y", Statement I "x" "z")
|
||||
(Statement A "y" "z", Statement O' "x" "y", Statement O' "x" "z")
|
||||
(Statement E "y" "z", Statement I "x" "y", Statement O "x" "z")
|
||||
(Statement E "y" "z", Statement O' "x" "y", Statement I' "x" "z")
|
||||
(Statement I "y" "z", Statement A' "x" "y", Statement I "x" "z")
|
||||
(Statement I "y" "z", Statement E "x" "y", Statement O' "x" "z")
|
||||
(Statement O "y" "z", Statement A' "x" "y", Statement O "x" "z")
|
||||
(Statement O "y" "z", Statement E "x" "y", Statement I' "x" "z")
|
||||
(Statement A "z" "y", Statement A' "x" "y", Statement A' "x" "z")
|
||||
(Statement A "z" "y", Statement E "x" "y", Statement E "x" "z")
|
||||
(Statement E "z" "y", Statement A "x" "y", Statement E "x" "z")
|
||||
(Statement E "z" "y", Statement E' "x" "y", Statement A' "x" "z")
|
||||
(Statement A "z" "y", Statement A' "x" "y", Statement I "x" "z")
|
||||
(Statement A "z" "y", Statement A' "x" "y", Statement I' "x" "z")
|
||||
(Statement A "z" "y", Statement E "x" "y", Statement O "x" "z")
|
||||
(Statement A "z" "y", Statement E "x" "y", Statement O' "x" "z")
|
||||
(Statement E "z" "y", Statement A "x" "y", Statement O "x" "z")
|
||||
(Statement E "z" "y", Statement A "x" "y", Statement O' "x" "z")
|
||||
(Statement E "z" "y", Statement E' "x" "y", Statement I "x" "z")
|
||||
(Statement E "z" "y", Statement E' "x" "y", Statement I' "x" "z")
|
||||
(Statement A "z" "y", Statement A "x" "y", Statement I' "x" "z")
|
||||
(Statement A "z" "y", Statement E' "x" "y", Statement O "x" "z")
|
||||
(Statement E "z" "y", Statement A' "x" "y", Statement O "x" "z")
|
||||
(Statement E "z" "y", Statement E "x" "y", Statement I' "x" "z")
|
||||
(Statement A "z" "y", Statement I' "x" "y", Statement I' "x" "z")
|
||||
(Statement A "z" "y", Statement O "x" "y", Statement O "x" "z")
|
||||
(Statement E "z" "y", Statement I "x" "y", Statement O "x" "z")
|
||||
(Statement E "z" "y", Statement O' "x" "y", Statement I' "x" "z")
|
||||
(Statement I "z" "y", Statement A' "x" "y", Statement I "x" "z")
|
||||
(Statement I "z" "y", Statement E "x" "y", Statement O' "x" "z")
|
||||
(Statement O "z" "y", Statement A "x" "y", Statement O' "x" "z")
|
||||
(Statement O "z" "y", Statement E' "x" "y", Statement I "x" "z")
|
||||
(Statement A "y" "z", Statement A' "y" "x", Statement A "x" "z")
|
||||
(Statement A "y" "z", Statement E' "y" "x", Statement E' "x" "z")
|
||||
(Statement E "y" "z", Statement A' "y" "x", Statement E "x" "z")
|
||||
(Statement E "y" "z", Statement E' "y" "x", Statement A' "x" "z")
|
||||
(Statement A "y" "z", Statement A' "y" "x", Statement I "x" "z")
|
||||
(Statement A "y" "z", Statement A' "y" "x", Statement I' "x" "z")
|
||||
(Statement A "y" "z", Statement E' "y" "x", Statement O "x" "z")
|
||||
(Statement A "y" "z", Statement E' "y" "x", Statement O' "x" "z")
|
||||
(Statement E "y" "z", Statement A' "y" "x", Statement O "x" "z")
|
||||
(Statement E "y" "z", Statement A' "y" "x", Statement O' "x" "z")
|
||||
(Statement E "y" "z", Statement E' "y" "x", Statement I "x" "z")
|
||||
(Statement E "y" "z", Statement E' "y" "x", Statement I' "x" "z")
|
||||
(Statement A "y" "z", Statement A "y" "x", Statement I "x" "z")
|
||||
(Statement A "y" "z", Statement E "y" "x", Statement O' "x" "z")
|
||||
(Statement E "y" "z", Statement A "y" "x", Statement O "x" "z")
|
||||
(Statement E "y" "z", Statement E "y" "x", Statement I' "x" "z")
|
||||
(Statement A "y" "z", Statement I "y" "x", Statement I "x" "z")
|
||||
(Statement A "y" "z", Statement O "y" "x", Statement O' "x" "z")
|
||||
(Statement E "y" "z", Statement I "y" "x", Statement O "x" "z")
|
||||
(Statement E "y" "z", Statement O "y" "x", Statement I' "x" "z")
|
||||
(Statement I "y" "z", Statement A "y" "x", Statement I "x" "z")
|
||||
(Statement I "y" "z", Statement E "y" "x", Statement O' "x" "z")
|
||||
(Statement O "y" "z", Statement A "y" "x", Statement O "x" "z")
|
||||
(Statement O "y" "z", Statement E "y" "x", Statement I' "x" "z")
|
||||
(Statement A "z" "y", Statement A "y" "x", Statement A' "x" "z")
|
||||
(Statement A "z" "y", Statement E "y" "x", Statement E "x" "z")
|
||||
(Statement E "z" "y", Statement A' "y" "x", Statement E "x" "z")
|
||||
(Statement E "z" "y", Statement E' "y" "x", Statement A' "x" "z")
|
||||
(Statement A "z" "y", Statement A "y" "x", Statement I "x" "z")
|
||||
(Statement A "z" "y", Statement A "y" "x", Statement I' "x" "z")
|
||||
(Statement A "z" "y", Statement E "y" "x", Statement O "x" "z")
|
||||
(Statement A "z" "y", Statement E "y" "x", Statement O' "x" "z")
|
||||
(Statement E "z" "y", Statement A' "y" "x", Statement O "x" "z")
|
||||
(Statement E "z" "y", Statement A' "y" "x", Statement O' "x" "z")
|
||||
(Statement E "z" "y", Statement E' "y" "x", Statement I "x" "z")
|
||||
(Statement E "z" "y", Statement E' "y" "x", Statement I' "x" "z")
|
||||
(Statement A "z" "y", Statement A' "y" "x", Statement I' "x" "z")
|
||||
(Statement A "z" "y", Statement E' "y" "x", Statement O "x" "z")
|
||||
(Statement E "z" "y", Statement A "y" "x", Statement O "x" "z")
|
||||
(Statement E "z" "y", Statement E "y" "x", Statement I' "x" "z")
|
||||
(Statement A "z" "y", Statement I' "y" "x", Statement I' "x" "z")
|
||||
(Statement A "z" "y", Statement O' "y" "x", Statement O "x" "z")
|
||||
(Statement E "z" "y", Statement I "y" "x", Statement O "x" "z")
|
||||
(Statement E "z" "y", Statement O "y" "x", Statement I' "x" "z")
|
||||
(Statement I "z" "y", Statement A "y" "x", Statement I "x" "z")
|
||||
(Statement I "z" "y", Statement E "y" "x", Statement O' "x" "z")
|
||||
(Statement O "z" "y", Statement A' "y" "x", Statement O' "x" "z")
|
||||
(Statement O "z" "y", Statement E' "y" "x", Statement I "x" "z")
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue