I was writing a small program to work with pointers and came across strange compiler behavior.

First case:

#include <iostream>
#include <typeinfo>


int main(int argc, char** argv)
{
    int* a,b;
    
    std::cout << typeid(&a).name() << std::endl;
    std::cout << typeid(&b).name() << std::endl;

    return 0;
}

In the first case, the program output will be like this:

PPi
Pi

Which, as far as I understand, means that a pointer to “a” will be of type “int**”, while a pointer to “b” will be of type “int*”
This seems strange to me and I can’t understand why it works this way.

Second case:

#include <iostream>
#include <typeinfo>


int main(int argc, char** argv)
{
    int* a;
    int* b;

    std::cout << typeid(&a).name() << std::endl;
    std::cout << typeid(&b).name() << std::endl;

    return 0;
}

Second output:

PPi
PPi

And in this case, pointers receive the types that, in theory, should have received in the first case.
I have no idea where to look for information about this. There was nothing about this in the book I learned C++ from.