Yes, it is Do-follow that means, your website is indexing in search engine
You can also check your complete website report by registering your site in google search console.
As you have mentioned that you need to find out the dofollow criteria of the website, then add a extension of Moz in your brower and login with the same, then click on M which is the sign of Moz and then click on pencil icon and you will also find Dofollow and Nofollow point. If your link color gets green, then it is dofollow and if it gets pink, then it is no-follow.
And yes this http://www.thelogicalnews.com/forum/viewforum.php?f=19 website is dofollow.
How to check if a link is Dofollow or not?
Just follow these simple steps to check whether any link is a Dofollow or not:
1. Right click on your site and click “View Page Source”
2. Look for the link in the HTML of the page.
3. The link is nofollowed if you see a rel=”nofollow” attribute. Otherwise, the link is dofollow.