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Let m be a constant, fa function symbol with one argument and S and B two predicate symbols, each with two arguments. The following strings are formulas in predicate logic – TRUE or FALSE?

Let m be a constant, fa function symbol with one argument and S and B two predicate symbols, each with two arguments. The following strings are formulas in predicate logic – TRUE or FALSE?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 29E
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Question 1: Let m be a constant, fa function symbol with one argument and S and B two predicate symbols, each with two arguments. The following strings are formulas in predicate logic – TRUE or FALSE? i. S(m, x) ii. B(m, f(m)) iii. f(m) iv. B(B(m, х), у) v. S(B(m), z) vi. (B(x, у) — (3z S(Zy)) vii. (S(x, у) — S(у, f(x)))) viii. (B(x) B(B(x))).
Transcribed Image Text:Question 1: Let m be a constant, fa function symbol with one argument and S and B two predicate symbols, each with two arguments. The following strings are formulas in predicate logic – TRUE or FALSE? i. S(m, x) ii. B(m, f(m)) iii. f(m) iv. B(B(m, х), у) v. S(B(m), z) vi. (B(x, у) — (3z S(Zy)) vii. (S(x, у) — S(у, f(x)))) viii. (B(x) B(B(x))).
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