This is a predicate logic question Let P(x) mean "x is a program"; F(x) mean "x is a function"; and I(x,y) mean "x invokes y". Choose all options whose predicate logic formula and statement correspond. Select one or more: 1) "Only programs invoke functions" and ∀x∀y(F(x)∧I(y,x)→P(y)) 2) "Some programs do not invoke some functions" and ∃x∃y(P(x)∧F(y)→¬I(x,y)) 3) "Some functions do not get invoked by some programs" and ∀x(P(x)→∀y(F(y)→¬I(x,y))) 4) "Every program invokes every function" and ∀x∀y(P(x)∧F(y)∧I(x,y))

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
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This is a predicate logic question

Let P(x) mean "x is a program"; F(x) mean "x is a function"; and I(x,y) mean "x invokes y".

Choose all options whose predicate logic formula and statement correspond.

Select one or more:

1) "Only programs invoke functions" and ∀x∀y(F(x)∧I(y,x)→P(y))

2) "Some programs do not invoke some functions" and ∃x∃y(P(x)∧F(y)→¬I(x,y))

3) "Some functions do not get invoked by some programs" and ∀x(P(x)→∀y(F(y)→¬I(x,y)))

4) "Every program invokes every function" and ∀x∀y(P(x)∧F(y)∧I(x,y))

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