Logic reasoning is the foundation of formal methods. Propositional logic and Predicate Logic areconceptually the two most popular logics.A discrete mathematics undergraduate student wants to know how propositional and predicatelogics might be used for software testing. This student needs your assistance in his or hersearch.One suggestion may be to outline the strengths and weaknesses of both logic and itsapplication as a tool for software testing. Which logic is best for formal programme verification,and how should this be done?

In this question we have to provide explanation of the use of propositional and predicate logic in…

Answered: Logic reasoning is the foundation of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Learning Target L4: I can represent a logical argument as a conditional statement. I can determine if an argument is valid or a fallacy. I can use rules of inference to discuss the validity of an argument. I can identify and discuss common fallacies. Determine whether the argument is valid. Explain your answer by writing the argument in the form and stating whether this is valid (why?) or invalid (why): 1. premise 1 premise 2 conclusion 1. If you love cats, then you're a good person. You don't love cats. You're a dog person. Therefore you're not a good person. 2. Every even integer is Enlightened. Since 512 is an even number, therefore we conclude it is Enlight- ened.
All of the employees at the acmesoft company are either programmers or salespeople. The programmers are always tell the truth, the salespeople always lie. Threes Acmesoft employees - A, B, and C-were standing together in the hallway. A visitor passed by and asked A. "Are you a programmer or a salesperson?" A mumbled an answer that the visitor could not hear clearly. The visitor then asked B, "what did A say?" B replied. "A said that he is a salesperson."At this point, the third employee, C, said ,"Don't believe B; he is lying! What are B and C? 1/ B and C are both programmers 2/ B is a programmer and C is a salesperson 3/ B is a salesperson and C is a programmer 4/ B and C are both salesperson
A manufacturing firm finds that 80% of its new hires turn out to be good workers and 20% become poor workers. All current workers are given a reasoning test. Of the good workers, 90% pass it; 30% of the poor workers pass it. Assume that these figures will hold true in the future. If the company makes the test part of its hiring procedure and only hires people who meet the previous requirements and also pass the test, what percent of the new hires will turn out to be good workers?
Translate the following into first-order logic: a. Some students took CS411 in Spring2020. b. Some students wear a hoodie with UIC logo on it c. Something that glitters is not always gold, whereas gold always glitters. d. No one can win with everyone all the time. e. All CS courses are difficult, except two.
Problem II An education specialist conducts a study to determine which of three teaching methods is most effective with regard to adult ability to solve a particular type of logic problem. From a sample of thirty adult subjects, ten are randomly assigned to receive instruction same test, and each obtains a test score which measures their ability to solve the using each teaching method. At the end of the instruction period, all subjects take the particular type of problem. The specialist believes that several other variables may have an impact on the test scores, and thus includes these variables in the data set and data analysis. The resulting data set includes the following variables: "subject name", "teaching method (standard method, new method A new method B), "test score (0 to 10). "gender (male, femále)", "age (in years)", "high-sehool diploma (yes, no)", "race (Asian, African-American, Caucasian)". 1. Identify which of the above variables are dichotomous. gender (male, Female)…
sub: discrete
Learning Target L1 (Core): I can write the negation, converse, and contrapositive of a conditional statement and use DeMorgan's Laws to simplify symbolic logical expressions. Directions for each of the questions below: If the original statement is in symbols, your answers should be in symbols; if it is in words, the answer should be in clear English as well. For symbolic statements, don't just put in front of the original to form the negation-use De Morgan's laws to simplify. Similarly, for English statements, do no just write "It is not that case that"... to form the negation. 1. For each of the conditional statements below, write the converse, inverse, contrapositive, and negation (fully simplified and clear). (a) If you put gochujang on everything, you are an enlightened person. (b) (p^q) →r) 2. Use De Morgan's laws to state the negations of each of the following (fully simplified and clear): (a) (p^g) Vr) (b) You love spicy food and put gochujang on everything you eat, or you eat…

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