Abstract
This paper presents an approach to the elementary temporal semantics of the English tense system, the atoms of which are the present tense, the past tense, the progressive auxiliary, the perfective auxiliary, and the modal will as used for the future. It offers accounts of the forms of temporal semantics of core verb phrases of different categories and of the atoms of the tense system, using machinery that that yields appropriate compositional accounts of the temporal semantics of compound, tensed verb phrases. This machinery also yields a novel account of the Kenny-Vendler classification of core verb phrases.