Consider the state machine whose states are triples of non-negative integers (r, s, a). The initial state is (x, y, 0). The transitions are given by the rule & that for s > 0: (3r, s/3, a) (3r, (s – 1)/3, a +r) (3r, (s – 2)/3, a + 2r) otherwise. if 3 s if 3 | (s – 1) 8(r, s, a) - The predicate a = xy is true for every state of this state machine. O True False

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
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Consider the state machine whose states are triples of non-negative integers (r, s, a). The initial
state is (x, y, 0). The transitions are given by the rule d that for s > 0:
(3т, s/3, а)
(3г, (s — 1)/3, а +r)
(3r, (s — 2)/3, а + 2г) otherwise.
if 3 s
if 3 | (s – 1)
6(т, 5, а) —
-
The predicate a
xy is true for every state of this state machine.
True
False
Transcribed Image Text:Consider the state machine whose states are triples of non-negative integers (r, s, a). The initial state is (x, y, 0). The transitions are given by the rule d that for s > 0: (3т, s/3, а) (3г, (s — 1)/3, а +r) (3r, (s — 2)/3, а + 2г) otherwise. if 3 s if 3 | (s – 1) 6(т, 5, а) — - The predicate a xy is true for every state of this state machine. True False
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