Vyakarana: Structure of Sanskrit language ` Formation of words (sabdanis.patti) - Phonology (sabdotpatti) ` Primary aphorisms (sutras) ` Secondary rules/Notes on aphorisms (vartika) ` Paribhas.a and domain of application of rules.
Nyaya - Vaisesika: Classification of substances ` Characteristics of definition (Laksanalaksanam) ` The notion of absence (abhava) ` J`nana or cognition, Anumana of inference. The concept of (Vyapti) or invariable concommittance ` the combination of deductive and inductive reasoning ` Hetvabhasa or vitiated inference.
Epistemology: Pramana of means of valid knowledge ` issues related to redundancies ` Validity of knowledge ` its nature with reference to the origin (utpatti) and with reference to its cognition (j`napti) ` Theories explaining the concept of illusory cognition (khyativada) ` Use of avacchedaka, vi`sesyata, prakarata and so on to achieve precision in definition.
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T.R.N. Rao and Subhash Kak, Computing Science in Ancient India, Centre for Advanced Computer Studies, Lafayette, Louisiana, 1998.