Solve the two problems below. The first problem will utilize rules of replacement to establish a formal proof of validity. For the second problem, you can use either one of the three methods of proof and make sure to explicitly write your choice in the paper. 1. If the new town hall is to be conveniently located, it will have to be situated in the heart of the city, and if it is to be adequate to its function, it will have to be built large enough to house all the town offices. If the new town hall is situated in the heart of the city and is built large enough to house all the town offices, then its cost will run to over 4 million pesos. Its cost cannot exceed 4 million pesos. Therefore, either the new town hall will have an inconvenient location, or it will be inadequate to its function. (C- the town hall is to be conveniently located, H- town hall is to be situated in the heart of the city, A- town hall is to be adequate to its function, L- town hall is to be built large enough to house all the town offices, O- New town hall's cost is to exceed 4 million pesos) 2. Prove by using either direct proof, indirect proof, or proof by contradiction: n is even if 7n+1 is odd

Solve the two problems below. The first problem will utilize rules of replacement to establish a formal proof of validity. For the second problem, you can use either one of the three methods of proof and make sure to explicitly write your choice in the paper. 1. If the new town hall is to be conveniently located, it will have to be situated in the heart of the city, and if it is to be adequate to its function, it will have to be built large enough to house all the town offices. If the new town hall is situated in the heart of the city and is built large enough to house all the town offices, then its cost will run to over 4 million pesos. Its cost cannot exceed 4 million pesos. Therefore, either the new town hall will have an inconvenient location, or it will be inadequate to its function. (C- the town hall is to be conveniently located, H- town hall is to be situated in the heart of the city, A- town hall is to be adequate to its function, L- town hall is to be built large enough to house all the town offices, O- New town hall's cost is to exceed 4 million pesos) 2. Prove by using either direct proof, indirect proof, or proof by contradiction: n is even if 7n+1 is odd

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Consider a proof system P in the style of box-proof which only have one logical connective A. The system only has one rule given by: [X] Y YAX Here, X and Y can represent any formula. Tick each that applies. In the proof system P it is possible to derive the formula ((AAC)AB)AA In the proof system P it is possible to derive AA(AA A) In the proof system P it is possible to derive the formula AAA In the proof system P it is possible to derive (AAA)^ A In the proof system P it is not possible to derive (AA B)A(BAA)
Assignment As an initiation into the study of ethics, carefully read each of the following scenarios. After reflection, come up with your own answer to each of the questions. Scenario 1 Alexis, a gifted high school student, wants to become a doctor. Because she comes from a poor family, she will need a scholarship in order to attend college. Some of her classes require students to do extra research projects in order to get an A. Her high school has a few older PCs, but there are always long lines of students waiting to use them during the school day. After school, she usually works at a part-time job to help support her family. One evening Alexis visits the library of a private college a few miles from her family's apartment, and she finds plenty of unused PCs connected to the Internet. She surreptitiously looks over the shoulder of another student to learn a valid login/password combination. Alexis returns to the library several times a week, and by using its PCs and printers she…
Can you please help me with this because I am struggling with this problem, Can you please do this problem step by step and can you do explanations as well.
Formulate your own argument (make it creative!) and draw a suitable Euler diagram for it. Justify as well whether it is valid or not. You may emulate the four given arguments below. Example: All Filipinos enjoy singing. Juan is a Filipino. Therefore, Juan enjoys singing. Some physicists are poets. Einstein is a physicist. Therefore, Einstein is a poet. All lions are animals. Some lions have manes.Therefore, some animals have manes. All booms (B) are zooms (Z). All feeps (F) are meeps (M). No boom is a feep. Therefore, no zoom is a meep.
Can you give just one example, different from the one you have answered which works with all the sub-questions a, b, and c?
1. Given the following, can you prove the unicorn is mythical? How about Magi- cal? and Horned? (adapted from Barwise and Etchemendy (1993)). if the unicorn is mythical, then it is immortal, but if it is not mythical, then it is a mortal mammal. If the unicorn is either immortal or a mammal, then it is horned. The unicorn is magical if it is horned. 2. Which of the following are correct? (a) False E True (b) (A A B) E (A + B) (c) A + BEAVB (d) A + BE¬AV B (e) (A V B) ^ (¬A V B) is satisfiable
Correct answer will be upvoted else downvoted. Polycarp can just settle one errand during the day. Consistently he recorded what task he tackled. Presently the educator needs to know whether Polycarp followed his recommendation. For instance, assuming Polycarp tackled errands in the accompanying request: "DDBBCCCBBEZ", the educator will see that on the third day Polycarp started to settle the assignment 'B', then, at that point, on the fifth day he got occupied and started to address the undertaking 'C', on the eighth day Polycarp got back to the assignment 'B'. Different instances of when the educator is dubious: "BAB", "AABBCCDDEEBZZ" and "AAAAZAAAAA". Assuming Polycarp addressed the errands as follows: "FFGZZZY", the educator can't have any doubts. Kindly note that Polycarp isn't committed to settle all errands. Different instances of when the instructor doesn't have any dubious: "BA", "AFFFCC" and "YYYYY". Assist Polycarp with seeing whether his educator may be dubious.…
Solve the following puzzle by translating statements into logical expressions and reasoning fromthese expressions.Four friends have been identified as suspects for an unauthorized access into a computer system.They have made statements to the investigating authorities.1-Alice said Carlos did it.2-John said I did not do it.3-Carlos said Diana did it.4-Diana said Carlos lied when he said that I did it.If the authorities also know that exactly one of the four suspects is telling the truth, who didit?
8. Find at least three interesting and fascinating facts or properties about the Fibonacci num bers and/or the Golden Ratio that do not appear in the class presentation. num- You do not need to provide proofs. Support your findings with pointers to their resources.
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Hanry is a student. In School, there is a prestigious award so called a star. To be a star is not an easy task, a student with a good character only that can be called a star. In addition to that, a good character can be defined as a diligence and smart student. During his study, Hanry always present in all his subject and that makes him a diligence student. Not only that, Hanry also won award during his study, that makes him to get a predicate of smart student. Proves that Hanry is a star using backward chaining method!
Correct answer will be upvoted else downvoted. Computer science. You are permitted to alter the marks through the accompanying activity: Pick two particular integers I and j among 1 and n. Trade the marks of focuses I and j, lastly Draw the section between focuses I and j. A grouping of tasks is legitimate if in the wake of applying every one of the activities in the succession all together, the k-th point winds up having the name k for all k among 1 and n comprehensive, and the drawn sections don't meet each other inside. Officially, assuming two of the portions cross, they should do as such at a typical endpoint of the two sections. Specifically, all drawn portions should be unmistakable. Track down any legitimate arrangement of activities, or say that none exist. Input The main line contains an integer n (3≤n≤2000) — the number of focuses. The I-th of the accompanying n lines contains three integers xi, yi, man-made intelligence (−106≤xi,yi≤106,…