4. Given the predicates male(x), female(x), parent(x, y) (x is a parent of y), define the following predicates in terms of male, female, parent, or other pred- icates defined from these three predicates, in first-order logic: (a) father(x, y): x is the father of y. (b) mother(x, y): x is the mother of y. (c) ancesotor(x, y): x is an ancestor of y.

4. Given the predicates male(x), female(x), parent(x, y) (x is a parent of y), define the following predicates in terms of male, female, parent, or other pred- icates defined from these three predicates, in first-order logic: (a) father(x, y): x is the father of y. (b) mother(x, y): x is the mother of y. (c) ancesotor(x, y): x is an ancestor of y.

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Description: 4. Given the predicates male(x), female(x), parent(x, y) (x is a parent of y),define the following predicates in terms of male, female, parent, or other pred-icates defined from these three predicates, in first-order logic:(a) father(x, y): x is the

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

4. Given the predicates male(x), female(x), parent(x, y) (x is a parent of y),
define the following predicates in terms of male, female, parent, or other pred-
icates defined from these three predicates, in first-order logic:
(a) father(x, y): x is the father of y.
(b) mother(x, y): x is the mother of y.
(c) ancesotor(x, y): x is an ancestor of y.
(d) descendant(x, y): x is an descendant of y.
(e) son(x, y): is a son of y.
(f) daughter(x, y): x is a son of y.
(g) sibling(x, y): x is a sibling of y.

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