Show that the program construction schema of for loop can be constructed in any simple computer. Thefor loop is the schemaΚΕΝh: A x B → Af = FOR(k, h): A x B → Awhere f(x, y) = ax is defined by the sequence do, a₁,..., āk € Em defined bydo = xāi+1 = h(ai, y)and

The provided mathematical representation presents a for loop construction schema denoted as f=FOR(k,h):A×B→A. This schema describes a structured mechanism for iterating k times over a sequence defined by a function h operating on two parameters, ai from set A and y from set B. The resulting sequence {a0,a1,…,ak} is established through recursive application, starting with a0=x and progressing with ai+1=h(ai,y). This abstract representation captures the fundamental concept of a for loop, emphasizing the repetitive application of a function with controlled termination.The provided expression represents the schema for a `for` loop, particularly in the context of formal mathematical specifications rather than a specific programming language. Let's break down the components and show how it can be constructed in the context of a simple computer.The schema is expressed as:f=FOR(k,h):A×B→AWhere:- k is a natural number representing the number of iterations.- h is a function of two arguments, ai and y, which defines the computation within the loop.- A and B are sets representing the types of variables used in the loop.- f(x,y)=ak is the result of applying the loop, defined by the sequence a0,a1,…,ak.The sequence a0,a1,…,ak is defined as follows:- a0=x- ai+1=h(ai,y) for i=0,1,…,k−1Now, let's show that this for loop construction schema can be implemented on any simple computer. We'll outline a conceptual representation of how the schema can be translated into a general programming construct.In a programming context:- A represents the data type of the loop variable, x.- B represents the data type of the loop control variable, y.- h represents the body of the loop, which operates on the loop variable ai and the loop control variable y.Here's a Python-like pseudocode representation:1def for_loop_example(k, x, y, h): 2 a_i = x 3 for i in range(k): 4 a_i = h(a_i, y) 5 return a_i 6 7# Example usage 8result = for_loop_example(5, 2, 3, lambda a, y: a + y) 9print(result) 10In this pseudocode:- `for_loop` is a function that takes k (number of iterations), initial value x, loop control variable y, and loop body function h.- The loop iterates k times, updating the loop variable ai by applying the loop body function h.- The final value of ai is returned.This pseudocode captures the essence of the given for loop construction schema and can be translated into code in most programming languages, making it applicable to any simple computer with a basic ability to perform loops and function calls.OutputThis result is obtained by applying the function h(a,y)=a+y in each iteration:1. a0=22. a1=h(a0,3)=2+3=53. a2=h(a1,3)=5+3=84. a3=h(a2,3)=8+3=115. a4=h(a3,3)=11+3=146. a5=h(a4,3)=14+3=17This illustrates the concept of the for loop construction schema in a concrete programming context.