Suppose f, g are binary functions symbols, c, 1 are constant symbols and o is a unary predicate symbol of a first-order language L. Let A denote the following string. (Vx)$(F(x, y)) → 1 = g(x, y) V c = g(x, f(x, y)) (a) Prove that A is an L-formula using the formula-calculation (not all of the brackets are written. Be careful about the priorities and the dropped brackets). (b) List all of the terms that appear in A. (c) List all atomic subformulae of A.
Suppose f, g are binary functions symbols, c, 1 are constant symbols and o is a unary predicate symbol of a first-order language L. Let A denote the following string. (Vx)$(F(x, y)) → 1 = g(x, y) V c = g(x, f(x, y)) (a) Prove that A is an L-formula using the formula-calculation (not all of the brackets are written. Be careful about the priorities and the dropped brackets). (b) List all of the terms that appear in A. (c) List all atomic subformulae of A.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 32EQ
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![Suppose f, g are binary functions symbols, c, 1 are constant symbols and p is a unary predicate symbol
of a first-order language L. Let A denote the following string.
(Vx)¢(f(x, y)) → 1 = g(x, y) V c = g(x, f(x, y))
(a) Prove that A is an L-formula using the formula-calculation (not all of the brackets are written. Be
careful about the priorities and the dropped brackets).
(b) List all of the terms that appear in A.
(c) List all atomic subformulae of A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68b2a17a-0a9b-4d80-bd01-215c9ffd351a%2Fdbf10e71-0b2a-4cbf-897d-c647e12b21cf%2Fhujjdu_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose f, g are binary functions symbols, c, 1 are constant symbols and p is a unary predicate symbol
of a first-order language L. Let A denote the following string.
(Vx)¢(f(x, y)) → 1 = g(x, y) V c = g(x, f(x, y))
(a) Prove that A is an L-formula using the formula-calculation (not all of the brackets are written. Be
careful about the priorities and the dropped brackets).
(b) List all of the terms that appear in A.
(c) List all atomic subformulae of A.
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