Discrete Math

Question :
Consider the following sentences and prove that "Diana will win the game"

1.All Players are clever.
2.Anyone who is clever and dedicated can play the game well.
3.Anyone who is playing the game well will win his/her game.
4.Diana is a dedicated player.

So my first attempt was representing the using axioms and clausal form as follows(Please note that I'll be using the following notations as follows:
VX - For all X(Universal quantifier)
EX - For some X(Existential quantifier)


Let P(X) be X is a player
C(X) be X is clever
D(X) be X is dedicated
G(X) be X can play the game well
W(X) be X will win his/her game

Axiom Form :

1. VX [P(X) --> C(X) ]
2. [ ( C(X) ^ D(X) ) --> G(X) ]
3. VX [ G(X) --> W(X) ]
4. P(Diana) --> D(X)

Clausal Form :

1. ~P(X) v C(X)
2. ~C(X) v ~D(X) v G(X)
3. ~G(X) v W(X)
4. ~P(Diana) v D(X)

Can anyone guide me how to prove that "Diana will win the game" , using above clausal forms? Am I following the correct path displaying the above sentences in axioms and in clausal form?

Thanks!

  1. 👍 0
  2. 👎 0
  3. 👁 36
asked by Arya

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    The experimental probability that Diana will win a game is 3/8, if she plays the game 320 times. How many times can she expect to win?

    asked by Anonymous on March 9, 2016
  2. Math

    At the carnival , the ring toss advertises that 3 of every 7 players win a prize. The pop balloon game advertises that 4 of every 9 players win a prize. Which game would you play? Explain

    asked by Deana on October 18, 2015
  3. Statistics

    A game at the state fair has a "guesser" guess the month of your birth. You win a prize if he misses your month by more than 2 months (for ex: if you were born in April, and he guesses February, he wins; if he guessed January, you

    asked by BadatStat on July 3, 2012
  4. stat

    Diana and franklin both play a card game called cribbage,in whichthe first person to earn 121 points is the winner. The table below shows the results of six games of cribbage. Dianna's score/Franklin's score Game 1 121/118 Game 2

    asked by destiny on January 21, 2015
  5. Math

    The game Upright is played by two players on an m×n square board and has the following rules: At the start of the game, a kangaroo game piece is placed on the bottom left square of the board. Players alternate turns moving the

    asked by Mathslover Please help on May 5, 2013
  6. Stats

    Each of 2 players, independently, play a game 5 times, with each game having probability of success 0.40. What is the standard deviation of the sum of the games they win

    asked by Jay on October 9, 2011
  7. statistics

    A player pays a $1 to play a game. With probability 0.001 the player wins $900, with probability 0.005 the players wins $10. What is the players expected win per game?

    asked by ina on May 6, 2013
  8. Probabilities

    A team has 10 players named A, B, C, ... . Before each game an o®ensive captain, a defensive captain, and a water-boy are determined by chance. No one may have more than one of these honors per game. The probability the C and D

    asked by Andrey L on May 1, 2009
  9. math

    Students at Euler Middle School are talking about ways to raise money for a school party. One student suggests a game called Heads or Tails. In this game, a player pays 50 cents and chooses heads or tails. The player then tosses a

    asked by susan on March 5, 2010
  10. Technology

    Which of the following is one way to assess whether or not a learning game is effective? A.Being able to win the game B.Doing the quiz before and after the game to see what you have learned.*** C.Making it difficult to win the

    asked by Shay on March 6, 2019
  11. math

    The lists below show the players who will be competing in two different games.Both games are pure chance;it is equally probable for any player to with either game. Game 1:Jen,Fred,Monique,Darryn Game 2:Craig,Sarah,Yvonne,Allan

    asked by kennedy on January 21, 2015

More Similar Questions