1. Expand in a two-object universe (the objects are named 'a' and 'b') (a) (Ex) ((Ax Bd) = Dy) (b) (x) - (Ax & Cz) (c) (x)-(Dy (Hx & -Ga)) Expanding a wff is not the same as reducing the wff to conjunctive normal form (or reducing it to disjunctive normal form). Read the text and my handout on how to do an expansion. 2. For the following wffs, indicate which variables are free and which are bound (you can use 'F' for free and 'B' for bound.) Either (i) draw a vertical line underneath each variable with the letters 'F' or 'B' at the bottom of each vertical line or (ii) color bound variables red and free variables green. Make sure you know which symbols are used for variables. Not every symbol in the language of predicate logic is used for variables. The reading (Scope, binding, and quantifier expansions) lists the symbols that are used for variables and the symbols that used for the names of objects (i.e., individual constants). Names of objects are not names of variables. The free/bound distinction only applies to variables. It does not apply to individual constants (i.e., names of objects) (a) (x) (y) (Ez) ((Ayzxv Bzzy) v (Fxac (b) Hzauzu)) (Ex) (Ey) Hyabwa(z) (Fzvhky v Hxyyx) (z) (Ex) (y) (Axyzyyw v Bxyxzavz) (c)

1. Expand in a two-object universe (the objects are named 'a' and 'b') (a) (Ex) ((Ax Bd) = Dy) (b) (x) - (Ax & Cz) (c) (x)-(Dy (Hx & -Ga)) Expanding a wff is not the same as reducing the wff to conjunctive normal form (or reducing it to disjunctive normal form). Read the text and my handout on how to do an expansion. 2. For the following wffs, indicate which variables are free and which are bound (you can use 'F' for free and 'B' for bound.) Either (i) draw a vertical line underneath each variable with the letters 'F' or 'B' at the bottom of each vertical line or (ii) color bound variables red and free variables green. Make sure you know which symbols are used for variables. Not every symbol in the language of predicate logic is used for variables. The reading (Scope, binding, and quantifier expansions) lists the symbols that are used for variables and the symbols that used for the names of objects (i.e., individual constants). Names of objects are not names of variables. The free/bound distinction only applies to variables. It does not apply to individual constants (i.e., names of objects) (a) (x) (y) (Ez) ((Ayzxv Bzzy) v (Fxac (b) Hzauzu)) (Ex) (Ey) Hyabwa(z) (Fzvhky v Hxyyx) (z) (Ex) (y) (Axyzyyw v Bxyxzavz) (c)

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

See similar textbooks

Similar questions

Which of the following are equivalent to:¬((∀x)(∃y)(∀z)(P(x)→(Q(y)∨R(z))))? (Select all that apply.) Group of answer choices (∃x)(¬(∃y)(∀z)(P(x)→(Q(y)∨R(z)))) (∃x)(∀y)(¬(∀z)(P(x)→(Q(y)∨R(z)))) (∃x)(∀y)(∃z)(¬(P(x)→(Q(y)∨R(z)))) (∃x)(∀y)(∃z)(P(x)∧¬(Q(y)∨R(z))))
Given interpretations (a) (Vx) (y) P(x, y) → (x)(Vy) P(x, y) (b) (Vx) [P(x) → Q(x)] → [(x) P(x) → (Vx)Q(x)] (c) (Vx)[A(x)]' → [(Vx)A(x)]' to prove that each of the following wffs is not valid.
SOLVE IN MATLAB. What is the code for this in matlab?
3.
The PDDL is put to use in order to provide a description of a made-up setting known as the JUNGLE. This universe has a total of five constants and three predicates, each of which may take a maximum of four arguments. There should be a limit placed on the total number of states on this JUNGLE planet. Do we need to offer justification for this?
5. Let S = {a,b,c,d}, T = {a, c, e, f}, R = {c, f}. Find the following sets.... (a) SUT (b) SnT (c) SU (TNR) (d) T-R (e) Sketch a Venn diagram showing how S, T, and R relate to each other. (f) Let f: R→ R be given by f (x) = 3x - 2. Prove that f (x) is one-to-one and onto.
For cach of the following Racket expressions, draw the mem- ory representation of its result after its evaluation: (cons (cons 'b 'c) (cons 'b 'c)) ((lambda (x) (cons x x)) (cons 'b 'c))
2. Let A = {a, {a}}, B = {0, b}, C = {{0}, c, {0, c}}, D = {0}, and E = {e}. Find following sets and cardinalities: a) P(B)= b) P(D)= c) P(P(D))= d) P(E²) = e) |A|= f) |C X A X C|= g) |P(A)|= h) |P(A²)|= i) |P(P(A))|= j) IP(P(0))|= |B|= |C| = |D| =
Reduce the following lambda-calculus terms to the normal form. Show all intermediate steps, with one beta reduction at a time. In the reduction, if necessary, assume that you are supplied with extra rules that allow you to reduce the addition of two natural numbers into the corresponding result. (λz. z) (λy. y y) (λx. x a)
Choose the correct phrase * 1.1 • The Domain of f(x) = V1 – x is 1. [-1,0) 2. (-0, 1] 3. (-∞, 1) 4. [1, 0) 1 O 2 O 3 4 O
DUE NOW. Please answer the "script" part as the same as the process on what is on example and guide. Note that this is not a graded question - only a practice. Please make it comprehensive. Thank you very much!
The format P(X) represents as a power set of given "X", (of all X's subsets) Now, assume there are two sets A= {q, w, e, r} and B = {w, r, f}. (a) What are the elements of P(A) ∩P(B )?(b) What is the cardinality of P(A ∪B )?(c) What is |P(A) ∪P(B )|?