In advanced English syntax and determiners, the selection and distributional behavior of articles (a, an, the) and quantifying determiners are governed by strict semantic, countability, and syntactic constraints. Consider the following four advanced propositions: I. The zero article (Ø) is correctly employed with plural countable nouns and mass (uncountable) nouns when referring to classes or entities in a generic sense (e.g., 'Computers have revolutionized modern education', 'Water boils at one hundred degrees Celsius'), whereas the definite article 'the' is used generically only with specific taxonomic categories, musical instruments in performance, or singular national/institutional classes (e.g., 'the piano', 'the bald eagle'). II. The indefinite article 'an' is required before words beginning with a vowel letter regardless of their phonetic realization, meaning that expressions such as 'an historical document', 'an habitual offender', and 'an university professor' are strictly mandatory in standard formal British and American English due to orthographic vowel precedence. III. When a singular countable noun is modified by a restrictive relative clause or an identifying prepositional phrase specifying a unique referent known to both discourse participants, the definite article 'the' is obligatorily substituted by the indefinite article 'a' or 'an' to signal new, non-specific discourse introduction (e.g., 'She is the scientist who discovered the novel gene', where 'the' must be replaced by 'a'). IV. In coordinate noun phrases sharing a single referent or conceptual unit, the definite article must be repeated before each individual noun to avoid semantic ambiguity and syntactic ungrammaticality (e.g., 'The secretary and treasurer has arrived', where repeating 'the' would violate subject-verb singular concord). Identify the option that correctly evaluates the grammatical, syntactic, and semantic validity of propositions I, II, III, and IV according to standard English grammar and Article principles.