We know that there are six Astika schools of philosophy (Darshana, Sanskrit: दर्शन) which are Sankhya, Yoga, Nyaya, Vaisheshika, Mimansa and Vedanta. And further there are sub-schools of Vedanta viz. Advaita, Vishishtadvaita, Shuddhadvaita, Achintya Bhedabheda etc. There are also some other popular philosophical schools e.g. Kashimiri Shaiva and Shiva Siddhanta.
Now, each Darshana has a canonical text (Sutra) which defines and describes core concept/principles of particular doctrine. I found that there are some popular established theory (Vada, Sanskrit: वाद) in relation to particular doctrine.
For example, as I've discussed in this post Vivartavada is one which Adi Shankaracharya explained for his preaching on Advaita, Ajatavada is one which Gaudapada established in his Karika on Mandukya Upanishad. So, Vivartavada and Ajatavada are two theories of Advaita. Similarly, later on I found that Vishishtadvaita believes in Parinama-Vada and Sankhya in Satkarya-Vada. So, I'm interested to know others also.
Hence, I want to know What are some popular Vadas (theories) endorsed by different philosophies?
Answer providing/listing popular Vadas in relation to respective Darshana with just a little (to avoid question becoming too-broad) explanation, citing source from text of respective philosophy would be very useful.