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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