Define and test the Prolog predicates described below. Each of your predicates must have the same name and signature as the examples below. Your predicates must behave properly on all instances of valid input types. Your submission should consist of a single source code text file that includes all facts, predicate definitions, and propositions.

You may find additional Prolog language help at the following links:

SWI-Prolog manual: http://www.swi-prolog.org/pldoc/refman/

SWI-Prolog documentation: http://www.swi-prolog.org/pldoc/index.html

Learn Prolog Now: http://www.learnprolognow.org/

2) List Product

Define a predicate list_prod/2 that takes a list of numbers as a first parameter and

determines the product of all of the list elements in the second parameter. Your

predicate should have the signature list_prod(List, Number). The product of an

empty list should be zero.

Examples:

?- list_prod([4,3], Product).

Product = 12.

?- list_prod([5,5,5], Product).

Product = 125.

?- list_prod([7,8,0,13], Product).

Product = 0.

?- list_prod([6,2,5,10], Product).

Product = 600.

?- list_prod([], Product).

Product = 0.