Solution to Question 1: (2 marks) (C1) Let’s consider a propositional language where A =“I study data … - Sikademy
Author Image

Archangel Macsika

Question 1: (2 marks) (C1) Let’s consider a propositional language where A =“I study data structure”, B =“I study Bioinformatics”, C =“I study programming”, D =“I study discrete math” a. “I study Bioinformatics if I study programming and discrete math” b. “I cannot study data structure when I do not study programming or discrete math ” c. “I study data structure if and only if I do not study Bioinformatics” Question 2: (2 marks) Let’s consider a propositional language where p means “Paola is happy”, q means “Paola paints a picture”, r means “Renzo is happy”. Write English statement that corresponds to the following compound propositions: 1. p ∧ q → ¬ r 2. ¬ (p ∧ ¬q)

The Answer to the Question
is below this banner.

Can't find a solution anywhere?

NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?

Get the Answers Now!

You will get a detailed answer to your question or assignment in the shortest time possible.

Here's the Solution to this Question

Question 1: 

Let

A = “I study data structure”,

B = “I study Bioinformatics”,

C = “I study programming”,

D = “I study discrete math”



a. The formula for the statement “I study Bioinformatics if I study programming and discrete math” is C\land D\to B.


b. The formula for the statement “I cannot study data structure when I do not study programming or discrete math” is \neg(C\lor D)\to\neg A.


c. The formula for the statement “I study data structure if and only if I do not study Bioinformatics” is A\leftrightarrow \neg B.


Question 2:


Let’s consider a propositional language where

p means “Paola is happy”,

q means “Paola paints a picture”,

r means “Renzo is happy”.


Let us write English statement that corresponds to the following compound propositions:


  1. The formula p ∧ q → ¬ r corresponds to the English statement: "If Paola is happy and she paints a picture, then Renzo is not happy".
  2. The formula ¬ (p ∧ ¬q)=¬ p \lor q correspons to the English statements: "It is not true that Paola is happy and she does not paint a picture" and "Paola is not happy or she paints a picture".

Related Answers

Was this answer helpful?

Join our Community to stay in the know

Get updates for similar and other helpful Answers

Question ID: mtid-5-stid-8-sqid-2887-qpid-1586