Computer Science: An Overview (12th Edition)
12th Edition
ISBN: 9780133760064
Author: Glenn Brookshear, Dennis Brylow
Publisher: PEARSON
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Chapter 6, Problem 56CRP
Program Plan Intro
Declarative
Declarative programming is a technique that is used to structure a program with logical deduction. Logical deduction is an act of eliminating inconsistent statements.
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Construct a truth table to determine the truth value of the compound proposition (A ∧ B) ∨ (¬C ∧ D) where A, B, C, and D are propositional variables.
i need answer of all.
if any answer will be skipped, your answer will be rejected. only complete answer will be accepted.
b) Make a truth table for the statement ¬P ∧ (Q → P). What can youconclude about P and Q if you know the statement is true?
a) Make a truth table for the statement (P ∨ Q) → (P ∧ Q).
c) Make a truth table for the statement ¬P → (Q ∧ R).
Use De Morgan’s Laws, and any other logical equivalence facts you know to simplify the followingstatements. Show all your steps. Your final statements should have negations only appear directly nextto the sentence variables (P, Q, etc.), and no double negations. It would be a good idea to use onlyconjunctions, disjunctions, and negations.(a) ¬((¬P ∧ Q) ∨ ¬(R ∨ ¬Q)).(b) ¬((¬P → ¬Q) ∧ (¬Q → R)) (careful with the implications).(c) For both parts above, verify your answers are correct using truth tables. That is, use a truth tableto check that the given statement and your proposed simplification are actually logically equivalent.
Chapter 6 Solutions
Computer Science: An Overview (12th Edition)
Ch. 6.1 - In what sense is a program in a third-generation...Ch. 6.1 - We can summarize the imperative programming...Ch. 6.1 - Prob. 4QECh. 6.2 - Why is the use of a constant considered better...Ch. 6.2 - Prob. 2QECh. 6.2 - Prob. 3QECh. 6.2 - Identity some common control structures found in...Ch. 6.2 - What is the difference between an array and an...Ch. 6.3 - Prob. 1QECh. 6.3 - Prob. 2QE
Ch. 6.3 - Why do many programming languages implement I/O...Ch. 6.3 - Prob. 4QECh. 6.3 - Prob. 5QECh. 6.4 - Prob. 1QECh. 6.4 - What is a symbol table?Ch. 6.4 - What is the difference between a terminal and a...Ch. 6.4 - Prob. 4QECh. 6.4 - Prob. 5QECh. 6.4 - Prob. 6QECh. 6.5 - What is the difference between an object and a...Ch. 6.5 - Prob. 2QECh. 6.5 - Suppose the classes PartTimeEmployee and...Ch. 6.5 - What is a constructor?Ch. 6.5 - Why are some items within a class designated as...Ch. 6.6 - Prob. 1QECh. 6.6 - Prob. 2QECh. 6.6 - Prob. 3QECh. 6.7 - Prob. 2QECh. 6.7 - Prob. 3QECh. 6.7 - Prob. 4QECh. 6 - Prob. 1CRPCh. 6 - Translate the following Python program into the...Ch. 6 - Prob. 3CRPCh. 6 - Why was it necessary to identify the type of data...Ch. 6 - Prob. 6CRPCh. 6 - Suppose the function f expects two numeric values...Ch. 6 - Suppose f is a function that returns the result of...Ch. 6 - Prob. 9CRPCh. 6 - Summarize the distinction between a machine...Ch. 6 - John Programmer argues that the ability to declare...Ch. 6 - Summarize the distinction between declarative...Ch. 6 - Explain the differences between a literal, a...Ch. 6 - a. What is operator precedence? b. Depending on...Ch. 6 - Prob. 16CRPCh. 6 - What is the difference between the meaning of the...Ch. 6 - Draw a flowchart representing the structure...Ch. 6 - Prob. 19CRPCh. 6 - Prob. 20CRPCh. 6 - Draw a flowchart representing the structure...Ch. 6 - Rewrite the following program segment using a...Ch. 6 - Summarize the following rats-nest routine with a...Ch. 6 - Prob. 24CRPCh. 6 - Prob. 25CRPCh. 6 - Suppose the variable X in a program was declared...Ch. 6 - Prob. 27CRPCh. 6 - Why would a large array probably not be passed to...Ch. 6 - Sometimes an actual parameter is passed to a...Ch. 6 - Prob. 32CRPCh. 6 - What ambiguity exists in the statement X = 3 + 2 ...Ch. 6 - Suppose a small company has five employees and is...Ch. 6 - Prob. 35CRPCh. 6 - Prob. 36CRPCh. 6 - Prob. 37CRPCh. 6 - Prob. 38CRPCh. 6 - Prob. 39CRPCh. 6 - Design a set of syntax diagrams that describes the...Ch. 6 - Prob. 41CRPCh. 6 - Prob. 42CRPCh. 6 - Add syntax diagrams to those in Question 5 of...Ch. 6 - Prob. 44CRPCh. 6 - What code optimization could be performed by a...Ch. 6 - Simplify the following program segment Y = 5 if (Y...Ch. 6 - Simplify the following program segment while (X !=...Ch. 6 - In an object-oriented programming environment, how...Ch. 6 - Describe how inheritance might be used to develop...Ch. 6 - What is the difference between the public and...Ch. 6 - a. Give an example of a situation in which an...Ch. 6 - Describe some objects that might be found in a...Ch. 6 - Prob. 53CRPCh. 6 - Prob. 54CRPCh. 6 - Prob. 55CRPCh. 6 - Prob. 56CRPCh. 6 - Prob. 57CRPCh. 6 - Prob. 58CRPCh. 6 - Prob. 59CRPCh. 6 - In general copyright laws support ownership rights...Ch. 6 - By using a high-level programming language, a...Ch. 6 - Prob. 3SICh. 6 - Prob. 4SICh. 6 - Prob. 5SICh. 6 - Suppose an amateur programmer writes a program for...Ch. 6 - Prob. 7SI
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- Proof: ⊤ ⊢ (A ∧ ¬B) → ¬(A → B) Please indicate assumption, intro, or elimination, with the line number operated.arrow_forwardThe compound propositions (a ⊕ b) and ¬ (a ↔ b) are equivalent.arrow_forwardConstruct formal proofs for the following arguments: 1. ¬(A ∨ B) ⊢ ¬A 2. A, ¬B ⊢ ¬(A → B) 3. (A ∧ B) ∨ (A ∧ C) ⊢ B ∨ C 4. A ⊢ B → (A ∧ B)arrow_forward
- Determine if the following form of an argument is valid or not. And indicate the law or fallacy used for each. 1. [(q ∨ p) ∧ p] → ¬q2. [(q → ¬p) ∧ ¬p] → q3. [(¬s → m) ∧ s] → ¬m 4. [(j → y) ∧ ¬y] → ¬j5. [(c ∨ ¬u) ∧ ¬c] → ¬u6. [(b → e) ∧ b] → earrow_forwardDetermine if the following argument is valid or invalid. State if valid or invalid and the the law or fallacy used to support your answer. [(¬p → q) ∧ q] → ¬parrow_forwardAnswer this question: Write it with pencil and show how you solved it Write the truth table for the following statement forms a. P Λ ( ~ q V r) b. (P Λ ~ q) Λ (q V ~r)arrow_forward
- Write and construct the truth table for the given statements/ propositions then indicate whether tautology, contingency, or contradiction: 2. ~[p v (~ p v r)] ∧ (p⟶q)arrow_forwardFor the following statement, write down a logically equivalent statement which containsno operators other than ¬ and ∨: P ∧ (Q → R)arrow_forwardIndicate whether each of the following statements is true (T) or false (F): 1. (∀x)(A(x)&D(x)→B(x)) is equivalent to (∀x) (¬B(x)→( ¬D(x)→A(x))) 2. ¬(∀x)(A(x)→(B(x) V C(x))) is equivalent to (∃x)(A(x)& ¬B(x)& ¬C(x)) 3. ¬(∃x)(A(x)→(B(x)&C(x))) is equivalent to (∀x)(A(x)&(B(x)→ ¬C(x)))arrow_forward
- Use propositional logic to prove that the argument is valid. Do not use truth tables. (P → Q) ^ ((PA Q) → R) ^ ¬R .: -P Please use the following substitute operators during your exam:arrow_forwardThis question was on a homework assignment which I could not complete before the deadline. Show that whether the following propositions is a tautology, satisfiable but not a tautology, or a contradiction. If it is a tautology or a contradiction, please give the proof. If it is satisfiable, please give a true assignment and a false assignment. (A ∨ B ∨ ¬C) ∧ (A ∨ ¬B ∨ D) ∧ (A ∨ ¬C ∨ ¬D) ∧ (¬A ∨ ¬B ∨ ¬D) ∧ (A ∨ B ∨ ¬D)arrow_forwardDetermine which of the following sequence of truth values will correctly complete the truth table for the propositional form ∼(p∨∼q)∨p. p q ∼(p∨∼q)∨p T T T F F T F Farrow_forward
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