Taking the First Aorist conjugation (EKAUSA) of the verb KAUO “to burn” from the Homeric Greek as our point of departure for regression to the same tense in Linear B, we end up with the paradigm illustrated in the table above.
It is impossible for me to reconstruct the 2nd. person sing. or the 3rd. person pl. of   this verb in Linear B with any degree of certainty, as the Homeric conjugation necessitates that these persons end with a consonant, for which Linear B, consisting of syllabograms and vowels only, cannot account.
We have now successfully reconstructed (for the most part) the following tenses of Linear B verbs: the present, the future & the first aorist of active verbs. We shall eventually proceed to regressively reconstruct the imperfect & perfect tenses (leaving aside the pluperfect, as it is very rare even in ancient alphabetical Greek). Afterwards, we shall move onto the same conjugations for middle & passive verbs. Finally, later this year, we shall attempt to reconstruct at least some of the conjugations in the subjunctive and optative, in so far as this is feasible.
Once we have reconstructed the conjugations of Linear B verbs in all tenses, voices & moods, we shall move onto the reconstruction of the declensions of nouns & adjectives, probably in the summer of 2014. As we can already glean, the reconstruction of Linear B grammar is a highly labour-intensive project, but this is, after all,the whole point of this blog.