What are some alternative methods for implementing login and logout functionalities in PHP websites?

One alternative method for implementing login and logout functionalities in PHP websites is to use sessions. Sessions allow you to store user information across multiple pages until the session is destroyed. By setting session variables upon successful login and destroying them upon logout, you can control access to different parts of your website.

```php
// Login functionality
session_start();

// Check if the user submitted the login form
if(isset($_POST['login'])){
    // Validate user credentials
    if($username === 'admin' && $password === 'password'){
        $_SESSION['logged_in'] = true;
        $_SESSION['username'] = $username;
        header('Location: dashboard.php');
        exit();
    } else {
        echo "Invalid username or password";
    }
}

// Logout functionality
if(isset($_POST['logout'])){
    session_destroy();
    header('Location: index.php');
    exit();
}
```

In this code snippet, we start a session at the beginning of the script. Upon successful login, we set session variables for 'logged_in' and 'username' and redirect the user to the dashboard page. When the user clicks on the logout button, we destroy the session and redirect them back to the login page.