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[DOC File]SI202: Week 1
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means “it is the case that p and q are true.” C++ notation: The conjunction of two statements p and q is true when and only when both p and q are both true. The definition of conjunction is displayed in a truth table. p q . F F . F T . T F . T T . Example. p: MIDN Berrios is an officer
if p then q statements

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Let p, q, and r be the propositions: p = "the flag is set," q = "I=0," r = "subroutine S is completed." Translate each of the following propositions into symbols, using the letters p. q. r and logical connectives. a) If the flag is set, then I=0. p → q. b) The flag is set and I=0 if subroutine S is not completed. ¬r → p /\ q
the contrapositive of pq is

[DOC File]AP Computer Science A
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12. Assume b, p, and q are booleans. Write code that will assign to b the result of . ANDing. p and q. 13. Assign to the boolean variable w the result of . OR-ing . the following two things: A test to see if x is positive: A test to see if y equals z: 14. What are the two possible values of a boolean variable? 15.
conditional statements and equivalence

[DOC File]Use the following to answer questions 1-5:
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Ans: Not equivalent. Let p, q, and r be false. 14. Determine whether (p q) ( p q) q. Ans: Both truth tables are identical: p q (p q) ( p q) q T T T T T F F F F T T T F F F F 15. Write a proposition equivalent to p q that uses only p q and the connective . Ans: ( p q). 16.
false conditional statement examples

[DOC File]Fundamentals of Logic
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Thus there are three possible combinations of values for p, q, and r that make p ( (q ( (r) true. To see an example, let p, q and r be the following statements: p: I have taken out the trash. q: I have finished cleaning the dishes. r: I have watched 5 hours of TV. Assume that a child is a good one if p ( (q ( (r) holds true, and bad otherwise.
consider statements p and q

[DOC File]Truth Tables, Tautologies, & Logically Equivalent Statements:
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Notice that the truth values of ~ p V q in column 4 match exactly with the truth values of p → q in column 5. Thus ~ p V q and p → q are logically equivalent statements. In fact, ~ p V q is sometimes called the conditional equivalence because the statement ~ p V q can be used to replace the conditional statement p → q.
p q is false when

[DOC File]MODULE 1 - Florida State University
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If p, q are statements, their conjunction is the statement "p and q." It is denoted: p ( q For example, let p be the statement "I have a dime" and let q be the statement "I have a nickel.” Then p ( q is the statement "I have a dime and I have a nickel." In general, in order for any statement of the form “p ( q” to be true, both p and q ...
logically equivalent statements

[DOC File]Converse, Inverse, & Contrapositive:
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~ q → ~ p: If 15 is not a prime number, then 15 is not an odd number. *** Anytime you are asked for the . logical equivalent. of a conditional, you always use the contrapositive!!! Try these examples out: In 1 – 4, write the inverse of the statement in symbolic form. 1) p → q 2) t → ~ w 3) ~ m → p 4) ~ p → ~ q
if p then q examples

[DOC File]Lesson Title - VDOE
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When introducing symbols, label the hypothesis, conclusion, and negation statements with p, ~p, q, and ~q. Use three slips of paper, as above, labeled with p, (, and q to illustrate converse, inverse, and contrapositive using symbols. (Write ~p on the back of p and ~q on the back of q…
if p then q statements

[DOC File]Level Logic Worksheet
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If the statements do not follow either pattern, write “No Valid Conclusion”. Law of Syllogism Law of Detachment (Transitive Property) p → q p → q q → r p is true. r → s therefore, q is true. 1. If 2x + 3 = 17, then x = 7. 2x + 3 = 17. Conclusion: _____ 2. If Joan goes out with David, then she will have a good time Saturday night. ...
the contrapositive of pq is

P and q statements