How can a thread indicate that it can be interrupted so that another thread can execute?

In Java, a thread can indicate that it can be interrupted using the interruption mechanism. This is done by calling the interrupt() method on the thread object. Inside the thread, it should periodically check the interruption flag using the Thread.interrupted() or isInterrupted() methods. If the thread detects that it has been interrupted, it can properly finish its work, release resources, and exit.

Example:

public class MyRunnable implements Runnable {
    @Override
    public void run() {
        while (!Thread.currentThread().isInterrupted()) {
            // Perform work
            try {
                Thread.sleep(1000); // may throw InterruptedException
            } catch (InterruptedException e) {
                // Thread was interrupted during sleep
                Thread.currentThread().interrupt(); // restore interruption flag
                break; // exit loop
            }
        }
        System.out.println("Thread finished");
    }
}

// Elsewhere:
Thread thread = new Thread(new MyRunnable());
thread.start();
// ...
thread.interrupt(); // interruption signal

Thus, the thread controls its termination by reacting to the interruption.