gdl/mastermind.gdl @ 3f23f6b95cac

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;;; Mastermind
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;;; Version with four colors, four places and 8 chances to make the
;;; right guess. After each move, the player is informed exactly
;;; which colors were guessed correctly.
;;;
;;; GDL description by Tim Federholzner and Peter Kissmann
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;;; roles
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(role random)
(role player)

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;;; initial state
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;;; The step counter is initialized to the setup phase.
(init (guess setup))

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;;; legal rules
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;;; The random player sets up the colors in the first step.
(<= (legal random (set ?c1 ?c2 ?c3 ?c4))
    (true (guess setup))
    (color ?c1)
    (color ?c2)
    (color ?c3)
    (color ?c4)
)

;;; After the first step the random player can only watch the actual
;;; player.
(<= (legal random watch)
    (true (guess ?g))
    (distinct ?g setup)
)

;;; In the first step the actual player has to wait.
(<= (legal player wait)
    (true (guess setup))
)

;;; After the first step the actual player can guess the four colors.
(<= (legal player (guessColors ?c1 ?c2 ?c3 ?c4))
    (true (guess ?g))
    (distinct ?g setup)
    (color ?c1)
    (color ?c2)
    (color ?c3)
    (color ?c4)
)

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;;; next rules
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;;; The four places are colored the way chosen by the random player.
(<= (next (set 1 ?c1))
    (does random (set ?c1 ?c2 ?c3 ?c4))
)
(<= (next (set 2 ?c2))
    (does random (set ?c1 ?c2 ?c3 ?c4))
)
(<= (next (set 3 ?c3))
    (does random (set ?c1 ?c2 ?c3 ?c4))
)
(<= (next (set 4 ?c4))
    (does random (set ?c1 ?c2 ?c3 ?c4))
)

;;; Once colored the places do not change their color.
(<= (next (set ?n ?c))
    (true (set ?n ?c))
)

;;; The last move is stored (in order to use it in the terminal and
;;; goal descriptions).
(<= (next (playerset ?c1 ?c2 ?c3 ?c4))
    (does player (guessColors ?c1 ?c2 ?c3 ?c4))
)

;;; Increasing the step counter.
(<= (next (guess ?g2))
    (true (guess ?g1))
    (succ ?g1 ?g2)
)

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;;; visualization fluents
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(slot 1)
(slot 2)
(slot 3)
(slot 4)

(<= (next (cell 1 ?n ?c1))
	(does player (guessColors ?c1 ?c2 ?c3 ?c4))
	(true (guess ?n0))
	(succ ?n0 ?n)
)
(<= (next (cell 2 ?n ?c2))
	(does player (guessColors ?c1 ?c2 ?c3 ?c4))
	(true (guess ?n0))
	(succ ?n0 ?n)
)
(<= (next (cell 3 ?n ?c3))
	(does player (guessColors ?c1 ?c2 ?c3 ?c4))
	(true (guess ?n0))
	(succ ?n0 ?n)
)
(<= (next (cell 4 ?n ?c4))
	(does player (guessColors ?c1 ?c2 ?c3 ?c4))
	(true (guess ?n0))
	(succ ?n0 ?n)
)

(<= (next (cell ?slot ?number ?color))
	(true (cell ?slot ?number ?color))
)

(<= (next (cell 5 ?n white))
	(does player (guessColors ?c1 ?c2 ?c3 ?c4))
	(true (guess ?n0))
	(succ ?n0 ?n)
	(not (true (set 1 ?c1)))
)
(<= (next (cell 6 ?n white))
	(does player (guessColors ?c1 ?c2 ?c3 ?c4))
	(true (guess ?n0))
	(succ ?n0 ?n)
	(not (true (set 2 ?c2)))
)
(<= (next (cell 7 ?n white))
	(does player (guessColors ?c1 ?c2 ?c3 ?c4))
	(true (guess ?n0))
	(succ ?n0 ?n)
	(not (true (set 3 ?c3)))
)
(<= (next (cell 8 ?n white))
	(does player (guessColors ?c1 ?c2 ?c3 ?c4))
	(true (guess ?n0))
	(succ ?n0 ?n)
	(not (true (set 4 ?c4)))
)

(<= (next (cell 5 ?n black))
	(does player (guessColors ?c1 ?c2 ?c3 ?c4))
	(true (guess ?n0))
	(succ ?n0 ?n)
	(true (set 1 ?c1))
)
(<= (next (cell 6 ?n black))
	(does player (guessColors ?c1 ?c2 ?c3 ?c4))
	(true (guess ?n0))
	(succ ?n0 ?n)
	(true (set 2 ?c2))
)
(<= (next (cell 7 ?n black))
	(does player (guessColors ?c1 ?c2 ?c3 ?c4))
	(true (guess ?n0))
	(succ ?n0 ?n)
	(true (set 3 ?c3))
)
(<= (next (cell 8 ?n black))
	(does player (guessColors ?c1 ?c2 ?c3 ?c4))
	(true (guess ?n0))
	(succ ?n0 ?n)
	(true (set 4 ?c4))
)

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;;; sees rules
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;;; The random player knows all moves.
(<= (sees random (does ?r ?m))
    (does ?r ?m)
)

;;; The actual player sees only its own moves - to ensure that it
;;; knows which move has been performed in case of a timeout or
;;; similar.
(<= (sees player (does player ?m))
    (does player ?m)
)

;;; The player is informed of all colors correctly guessed.
(<= (sees player (set 1 ?c1))
    (does player (guessColors ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?c1))
)
(<= (sees player (set 2 ?c2))
    (does player (guessColors ?c1 ?c2 ?c3 ?c4))
    (true (set 2 ?c2))
)
(<= (sees player (set 3 ?c3))
    (does player (guessColors ?c1 ?c2 ?c3 ?c4))
    (true (set 3 ?c3))
)
(<= (sees player (set 4 ?c4))
    (does player (guessColors ?c1 ?c2 ?c3 ?c4))
    (true (set 4 ?c4))
)

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;;; terminal states
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;;; The game ends after eight guesses.
(<= terminal
    (true (guess 8))
)

;;; The game also ends once the player has guessed the colors of all
;;; four places correctly.
(<= terminal
    fourMatches
)

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;;; goal definitions
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;;; The random player always gets 100 points.
(goal random 100)

;;; A good player should be able to find the correct solution in at
;;; most four guesses, which results in 100 points.
(<= (goal player 100)
    (true (guess 1))
    fourMatches
)
(<= (goal player 100)
    (true (guess 2))
    fourMatches
)
(<= (goal player 100)
    (true (guess 3))
    fourMatches
)
(<= (goal player 100)
    (true (guess 4))
    fourMatches
)

;;; If guessing all colors correctly took longer than four guesses
;;; the reward is successively decreased.
(<= (goal player 95)
    (true (guess 5))
    fourMatches
)

(<= (goal player 90)
    (true (guess 6))
    fourMatches
)

(<= (goal player 85)
    (true (guess 7))
    fourMatches
)

(<= (goal player 80)
    (true (guess 8))
    fourMatches
)

;;; Guessing less than four colors correctly in the final try results
;;; in successively decreasing rewards.
(<= (goal player 50)
    (true (guess 8))
    threeMatches
)

(<= (goal player 35)
    (true (guess 8))
    twoMatches
)

(<= (goal player 15)
    (true (guess 8))
    oneMatch
)

(<= (goal player 0)
    (true (guess 8))
    noMatch
)

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;;; utility rules
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;;; The possible colors.
(color red)
(color blue)
(color green)
(color pink)

;;; The successor relation (needed for the step counter "guess").
(succ setup start)
(succ start 1)
(succ 1 2)
(succ 2 3)
(succ 3 4)
(succ 4 5)
(succ 5 6)
(succ 6 7)
(succ 7 8)

;;; All colors guessed correctly in the last guess.
(<= fourMatches
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?c1))
    (true (set 2 ?c2))
    (true (set 3 ?c3))
    (true (set 4 ?c4))
)

;;; In the last guess exactly three colors matched.
(<= threeMatches
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?s1))
    (true (set 2 ?c2))
    (true (set 3 ?c3))
    (true (set 4 ?c4))
    (distinct ?s1 ?c1)
)
(<= threeMatches
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?c1))
    (true (set 2 ?s2))
    (true (set 3 ?c3))
    (true (set 4 ?c4))
    (distinct ?s2 ?c2)
)
(<= threeMatches
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?c1))
    (true (set 2 ?c2))
    (true (set 3 ?s3))
    (true (set 4 ?c4))
    (distinct ?s3 ?c3)
)
(<= threeMatches
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?c1))
    (true (set 2 ?c2))
    (true (set 3 ?c3))
    (true (set 4 ?s4))
    (distinct ?s4 ?c4)
)

;;; In the last guess exactly two colors matched.
(<= twoMatches
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?c1))
    (true (set 2 ?c2))
    (true (set 3 ?s3))
    (true (set 4 ?s4))
    (distinct ?s3 ?c3)
    (distinct ?s4 ?c4)
)
(<= twoMatches
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?c1))
    (true (set 2 ?s2))
    (true (set 3 ?c3))
    (true (set 4 ?s4))
    (distinct ?s2 ?c2)
    (distinct ?s4 ?c4)
)
(<= twoMatches
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?c1))
    (true (set 2 ?s2))
    (true (set 3 ?s3))
    (true (set 4 ?c4))
    (distinct ?s2 ?c2)
    (distinct ?s3 ?c3)
)
(<= twoMatches
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?s1))
    (true (set 2 ?c2))
    (true (set 3 ?c3))
    (true (set 4 ?s4))
    (distinct ?s1 ?c1)
    (distinct ?s4 ?c4)
)
(<= twoMatches
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?s1))
    (true (set 2 ?c2))
    (true (set 3 ?s3))
    (true (set 4 ?c4))
    (distinct ?s1 ?c1)
    (distinct ?s3 ?c3)
)
(<= twoMatches
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?s1))
    (true (set 2 ?s2))
    (true (set 3 ?c3))
    (true (set 4 ?c4))
    (distinct ?s1 ?c1)
    (distinct ?s2 ?c2)
)

;;; In the last guess exactly one color matched.
(<= oneMatch
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?c1))
    (true (set 2 ?s2))
    (true (set 3 ?s3))
    (true (set 4 ?s4))
    (distinct ?s2 ?c2)
    (distinct ?s3 ?c3)
    (distinct ?s4 ?c4)
)
(<= oneMatch
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?s1))
    (true (set 2 ?c2))
    (true (set 3 ?s3))
    (true (set 4 ?s4))
    (distinct ?s1 ?c1)
    (distinct ?s3 ?c3)
    (distinct ?s4 ?c4)
)
(<= oneMatch
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?s1))
    (true (set 2 ?s2))
    (true (set 3 ?c3))
    (true (set 4 ?s4))
    (distinct ?s1 ?c1)
    (distinct ?s2 ?c2)
    (distinct ?s4 ?c4)
)
(<= oneMatch
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?s1))
    (true (set 2 ?s2))
    (true (set 3 ?s3))
    (true (set 4 ?c4))
    (distinct ?s1 ?c1)
    (distinct ?s2 ?c2)
    (distinct ?s3 ?c3)
)

;;; The last guess was completely incorrect.
(<= noMatch
    (true (playerset ?c1 ?c2 ?c3 ?c4))
    (true (set 1 ?s1))
    (true (set 2 ?s2))
    (true (set 3 ?s3))
    (true (set 4 ?s4))
    (distinct ?s1 ?c1)
    (distinct ?s2 ?c2)
    (distinct ?s3 ?c3)
    (distinct ?s4 ?c4)
)