Pāṇini’s Aṣṭādhyāyī can be thought of as an automaton to generate Sanskrit words and sentences. Aṣṭādhyāyī consists of sūtras that are organized in a systematic manner. The words are derived from the roots and affixes by the application of these sūtras that follow a well defined procedure. Therefore, Aṣṭādhyāyī is best suited for computational modeling. A computational model with conflict resolution techniques was discussed by us (Sridhar et al, 2009). In continuation with that, this paper presents, an improvised computational model of Aṣṭādhyāyī. 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 Aṣṭādhyāyī.