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Suppose that P is a unary relation symbol, Q is a binary relation symbol, f is a unary function symbol and c is a constant symbol. Select all of the following that are true: O f(P(x0)) is a formula. O P(f(x0)) is a formula. O f(f(c), xo) is a term.

Suppose that P is a unary relation symbol, Q is a binary relation symbol, f is a unary function symbol and c is a constant symbol. Select all of the following that are true: O f(P(x0)) is a formula. O P(f(x0)) is a formula. O f(f(c), xo) is a term.

Advanced Engineering Mathematics
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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Suppose that P is a unary relation symbol, Q is a binary relation symbol, f is a unary function symbol and c is a constant symbol. Select all of the following that are true: O f(P(xo)) is a formula. O P(f(x0)) is a formula. O f(f(c), xo) is a term. f(f(c)) is a term. Vx2(x0 = x1) is a formula with two free variables xo and x1. Vxo3¤1(x0 = x1) is a sentence. (VroP(xo) ^ Q(c, xo)) is a sentence. O (VxoP(xo) A Q(c, xo)) is a formula with a free occurrence of x0. O Vxo(P(x0) ^ Q(c, xo)) is a formula with a free occurrence of xŋ. O Væo(P(xo) ^ Q(c, xo)) is a sentence.
Transcribed Image Text:Suppose that P is a unary relation symbol, Q is a binary relation symbol, f is a unary function symbol and c is a constant symbol. Select all of the following that are true: O f(P(xo)) is a formula. O P(f(x0)) is a formula. O f(f(c), xo) is a term. f(f(c)) is a term. Vx2(x0 = x1) is a formula with two free variables xo and x1. Vxo3¤1(x0 = x1) is a sentence. (VroP(xo) ^ Q(c, xo)) is a sentence. O (VxoP(xo) A Q(c, xo)) is a formula with a free occurrence of x0. O Vxo(P(x0) ^ Q(c, xo)) is a formula with a free occurrence of xŋ. O Væo(P(xo) ^ Q(c, xo)) is a sentence.
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