Called object type 'int' is not a function or function pointer

I am kinda new to C++, therefore, I don't know what is the cause of this error, I am trying to solve the edit distance problem recursively, however, this error shows up.

error: called object type 'int' is not a function or function pointer return __comp(__b, __a) ? __b : __a;

    #include <iostream>
#include <string>
#include <vector>

using namespace std;

int distance(string, string, int, int);
int cost(string, string, int, int);
int main(){
    string v = "love";
    string v2 = "hate";
    cout<<distance(v, v2, v.size()-1, v2.size()-1);

    
}

int distance(string v, string v2, int a, int b)
{
    if (a==0) return b;
    if (b==0) return a;

    return min(
        distance(v, v2, a, b-1)+1,
        distance(v, v2,  a-1, b)+1,
        distance(v, v2, a-1, b-1)+cost(v, v2, a, b));

}
int cost(string v, string v1, int a, int b)
{
    if (v[a]==v1[b]) return 0;
    return 1;
}

3rd argument of std::min is the comparer, you might prefer the overload taking initializer_list:

return min({
        distance(v, v2, a, b - 1) + 1,
        distance(v, v2,  a - 1, b) + 1,
        distance(v, v2, a - 1, b - 1) + cost(v, v2, a, b)});