3. Add all the intermediate assertions and so produce the proof tableau for the following state- ments. If a statement is not valid then include in your respective tableau a pre-condition that is just strong enough to make the statement valid. (a) ASSERT (true) m = 1; n = 1%; n = a-b; ASSERT (m*n > 0) (b) ASSERT (x == y*(y+1)) y = y + 1; x = x + 2*y; ASSERT (x == = y*(y+1)) (c) ASSERT (false) y = 1; ASSERT (x+y<=0) 1 (d) ASSERT (true) if (x >= y) x = x + 1; else y = x - 1; z = y 1; ASSERT (z < y < x)

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
Chapter1: Introduction
Section: Chapter Questions
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3. Add all the intermediate assertions and so produce the proof tableau for the following state-
ments. If a statement is not valid then include in your respective tableau a pre-condition that
is just strong enough to make the statement valid.
(a) ASSERT (true)
m = 1;
n = 1;
n = a-b;
ASSERT (m*n > 0)
(b) ASSERT (x
==
y*(y+1))
y = y + 1;
x = x + 2*y;
ASSERT (x ==
y* (y+1))
(c) ASSERT (false)
y = 1;
ASSERT (x+y<=0)
1
(d) ASSERT (true)
if (x >= y) x = x + 1; else y = x - 1%;
-
z = y 1%;
ASSERT (z < y < x)
Transcribed Image Text:3. Add all the intermediate assertions and so produce the proof tableau for the following state- ments. If a statement is not valid then include in your respective tableau a pre-condition that is just strong enough to make the statement valid. (a) ASSERT (true) m = 1; n = 1; n = a-b; ASSERT (m*n > 0) (b) ASSERT (x == y*(y+1)) y = y + 1; x = x + 2*y; ASSERT (x == y* (y+1)) (c) ASSERT (false) y = 1; ASSERT (x+y<=0) 1 (d) ASSERT (true) if (x >= y) x = x + 1; else y = x - 1%; - z = y 1%; ASSERT (z < y < x)
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