Show that the following sentence of FOL is a theorem.1T3x3уL(x,y) 3у3xL(y, x)1. xyL(x,y): AS2.EyL(a,y): AS3.L(a,b): AS4.EyL(a,y): EI 35.6.7. 3x3уL(x,y) у3xL(y,x):→ISubmit(X,Y)AS1.2.ЄyL(a,y)> > > + + + +3.L(a,b)4.уL(a,y)5.A6.7.→(X) XL(x)13ཤཱ?|≖|2

The given problem deals with proving the validity of a sentence in first-order logic (FOL), which is…

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

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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Question

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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