Asiddhatva Principle in Computational Model of Aṣṭadhyayi

Abstract

P¯an. ini’s As.t.¯adhy¯ay¯ı can be thought of as an automaton to generate Sanskrit words and sentences. As.t.¯adhy¯ay¯ı consists of s¯utras that are organized in a systematic manner. The words are derived from the roots and affixes by the application of these s¯utras that follow a well defined procedure. Therefore, As.t.¯adhy¯ay¯ı is best suited for computational modeling. A computational model with conflict resolution techniques was discussed by us (Sridhar et al, 2009)[12]. In continuation with that, this paper presents, an improvised computational model of As.t.¯adhy¯ay¯ı. This model is further developed based on the principle of asiddhatva. A new mathematical technique called ‘filter’ is introduced to comprehensively envisage all usages of asiddhatva in As.t.¯adhy¯ay¯ı.