Show that the following sentence of FOL is a theorem. 1 T3x3уL(x,y) + 3y3xL(y,x) 1. (X,Y) AS 2. уL(a,y) AS 1. 3x3уL(x,y): AS 2. EyL(a,y): AS + 3. L(a,b) AS 3. L(a,b):AS 4. EyL(a,y): EI 3 + 4. зуL(a,y) 31 3 5. A 5. 6. A 6. 7. 3x3уL(x,y) 3у3xL(y,x):→I 7. -> (X) L(y,x) -1 Submit

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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Show that the following sentence of FOL is a theorem.
1
T3x3уL(x,y) 3у3xL(y, x)
1. xyL(x,y): AS
2.
EyL(a,y): AS
3.
L(a,b): AS
4.
EyL(a,y): EI 3
5.
6.
7. 3x3уL(x,y) у3xL(y,x):→I
Submit
(X,Y)
AS
1.
2.
ЄyL(a,y)
> > > + + + +
3.
L(a,b)
4.
уL(a,y)
5.
A
6.
7.
→
(X) XL(x)
13
ཤཱ?|≖|2
Transcribed Image Text:Show that the following sentence of FOL is a theorem. 1 T3x3уL(x,y) 3у3xL(y, x) 1. xyL(x,y): AS 2. EyL(a,y): AS 3. L(a,b): AS 4. EyL(a,y): EI 3 5. 6. 7. 3x3уL(x,y) у3xL(y,x):→I Submit (X,Y) AS 1. 2. ЄyL(a,y) > > > + + + + 3. L(a,b) 4. уL(a,y) 5. A 6. 7. → (X) XL(x) 13 ཤཱ?|≖|2
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