Implication:-

The statement “p implies q” means that if p is true, then q must also be true. The statement “p implies q” is also written “if p then q” or sometimes “q if p.” Statement p is called the premise of the implication and q is called the conclusion.


C++ program to find implication

#include<iostream>
#include<iomanip>
using namespace std;
int main()
{
bool p[8]= {true, true,true, true,false,false,false,false};
bool q[8] = {true, true,false,false,true,true,false,false};
bool r[8] = {true,false,true,false,true,false,true,false};
cout<<"Truth Table of p Implies q is: \n";
cout<<"p"<<setw(15)<<"q"<<setw(20)<<"p --> q" <<endl;
cout<<"_______________________________________________"<<endl;
for(int i=0; i<8; i++)
{
cout<<p[i]<<setw(15)<<q[i]<<setw(15)<<(!(p[i]) || q[i])<<endl;
}
cout<<"\n\nTruth Table of q Implies r is: \n";
cout<<"q"<<setw(15)<<"r"<<setw(20)<<"q --> r" <<endl;
cout<<"_______________________________________________"<<endl;
for(int i=0; i<8; i++)
{
cout<<q[i]<<setw(15)<<r[i]<<setw(15)<<(!(q[i]) || r[i])<<endl;
}
cout<<"\n\nTruth Table of p Implies r is: \n";
cout<<"p"<<setw(15)<<"r"<<setw(20)<<"p --> r" <<endl;
cout<<"_______________________________________________"<<endl;
for(int i=0; i<8; i++)
{
cout<<p[i]<<setw(15)<<r[i]<<setw(15)<<(!(p[i]) || r[i])<<endl;
}
cout<<"\nHence, above arguments are tested.";
}
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Arogya Thapa Magar

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