Thanks! Yes everything is handled on your device. If Tasks is killed then you won't get any notifications. If you have any trouble you can visit tasks.org/notifications, or send an e-mail to support@tasks.org
I had to take help from tasks.org/notifications. It works now!
It meets all my requirements:
- Local notifications. (Connection to Internet not required)
- No dependency on Google calendar
- Ability to repeat tasks on a daily / weekly monthly basis
Thank you developing this app @alexbaker!