1. Уx(Нх—Мх), На - Ма 2. Vx(HX→MX), Ha -3xMx 3. Vx(HX→MX), HavHb, 3xMx→►Ha -3xMx→(Hb&Mb) 4. Vx(HX→MX), HavHb, 3xMk→Ha - Mc→(Hb&Mb) 5. Vx(HX→MX), HavHb, 3xMx→Ha - Mc→Ix(Hx&Mx)

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
Problem 1PE
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For each of the following sequents, provide a proof that demonstrates their validity.

1. Уx(Hх—>Мх), На - Ма
2. Vx(HX→MX), Ha -3xMx
3. Vx(HX→MX), HavHb, 3xMx→»Ha-3xMx>(Hb&Mb)
4. Vx(HX→MX), HavHb, 3xMx→►Ha - Mc→(Hb&Mb)
5. Уx(Hх ->Мх). НavHb, ЭxM* На - Мс->х(Hx&M*)
· Ma
Transcribed Image Text:1. Уx(Hх—>Мх), На - Ма 2. Vx(HX→MX), Ha -3xMx 3. Vx(HX→MX), HavHb, 3xMx→»Ha-3xMx>(Hb&Mb) 4. Vx(HX→MX), HavHb, 3xMx→►Ha - Mc→(Hb&Mb) 5. Уx(Hх ->Мх). НavHb, ЭxM* На - Мс->х(Hx&M*) · Ma
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