1. Suppose a knowledge base has the following sentences Sam plays baseball or Paul plays baseball Sam plays baseball or Ryan doesn't play baseball Represent the knowledge base as a Boolean expression using propositional symbols and logical connectives Does this knowledge-base entail the following? If yes provide the reason why and if not provide a counterexample that there exists a model where KB is true but the sentence is false A. Sam and Ryan both play baseball B. At least one among Sam, Paul and Ryan play baseball

1. Suppose a knowledge base has the following sentences Sam plays baseball or Paul plays baseball Sam plays baseball or Ryan doesn't play baseball Represent the knowledge base as a Boolean expression using propositional symbols and logical connectives Does this knowledge-base entail the following? If yes provide the reason why and if not provide a counterexample that there exists a model where KB is true but the sentence is false A. Sam and Ryan both play baseball B. At least one among Sam, Paul and Ryan play baseball

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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For example, what does a perceptron network model entail? How could this model be used for straightforward linear classification, where objects are divided into two categories according to a line drawn between them and a set of two features? To demonstrate how elementary logical operations (like AND and OR) function? Which of the following logical processes does not function in a perceptron model? Which logical expression cannot be used in a perceptron model? What small adjustment could be made to the feedforward network model to make it capable of modeling all the elementary steps of logic?
1): Select the law which shows that the two propositions are logically equivalent. ¬((w∨p)∧(¬q∧¬w)) ¬(w∨p)∨¬(¬q∧¬w) A): DeMorgan’s law B): Distributive law C): Associative law D): Complement law 2): Select the proposition that is a tautology. (p∧q)→¬p (p∨q)→p (p∧q)↔p 4 . (p∧q)→p A): 4 B): 1 C): 2 D): 3
LET X, Y, Z be atomic sentences. Given this sentence A = X → ((Y ∧ Z)∨(¬Y∧¬Z)) In what conditions is A false? (T = True, F = False) 1. X = T, Y = T, Z = T 2. X = T, Y = T, Z = F 3. X = T, Y = F, Z = T 4. X = T, Y = F, Z = F 5. X = F, Y= T, Z = T 6. X = F, Y = T, Z = F 7. X = F, Y = F, Z = T 8. X = F, Y = F, Z = F
A propositional knowledge-base KB consisting of five sentences is given below (note that "/\" is used to denote "logical and", and "\/" is used to denote "logical or", and "~" is used to denote "logical negation"): 1. (~P /\ ~Q ) -> R2. R -> S3. ~S4. P -> ~U5. U a) Explain in English (in Steps!) that KB |= Q. b) Show resolution steps that leads to KB |- Q. You should first convert the sentences in the KB into clauses.
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(a) Is it possible for an argument to be sound and have a false conclusion? Explainyour answer (in one or two sentences).(b) Is it possible for an argument to be invalid and have a true conclusion? Explainyour answer (in one or two sentences).(c) Explain what a tautology is.(d) Explain what semantic entailment is.(e) State the deduction theorem.(f) If A ⊨ B, then A, C ⊨ B. What is this feature of entailment known as?
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Apply a series of logical equivalences and/or rules of inference to show that r → q follows from the following premises. Be sure to indicate the line number(s) and logical equivalence or rule of inference used in each step. 1. p → q 2. (r V s) → p 3. ¬s
Based on Jameson reading 2023 , how do a list of word would elicite more false memory compared to another one ? And it seems that semantic association can be independent of false memory word like king and doctor have high semantic level assiociatiom but doctor have more false memory success which critical word that has a high level of semantic association that you believe would lead to low levels of false memory, and one list with the opposite characteristic (i.e., a critical list that has a low level of semantic association but would lead to a high level of false memory).