ABSTRACT. The paper presents an inferential model of explicit communication based on the speaker's interests and the addressee's beliefs. After the introduction, the paper sets out some notions concerning explicit communication within the frameworks of truth-conditional pragmatics and relevance theory. The third section describes the phenomenon of semantic underdeterminacy, and the fourth section introduces non-demonstrative inferences in communication. The fifth section presents the model. The main notions involved are the speaker's intended meaning and the addressee's intended meaning. The former notion is centered on the speaker's interest in situation: a speaker intends the meaning of an utterance on the basis of a partial order of preference with respect to a set of contextually plausible meanings. The latter notion is centered on the addressee's communicative inference, which is based on the addressee's belief about the speaker's interest. The paper takes the notion of interest from cognitive social theory, the notion of meaning from semantics, and the notion of explicit meaning from pragmatics; and it uses the notion of communicative inference for explicit meaning in partial accordance with relevance theory. In the sixth section, the paper argues in favor of the inferential approach compared with the associative approach in determination of "what is said." The paper's method is conceptual analysis of declarative utterances used in communicative situations. The main finding of the paper has been to show that, in contextual underdeterminacy cases, speaker's interest is a determining factor in communicative processes.