As a typical species of generalized conversational implicature,scalar implicature falls well into the realm of Default Logic susceptible to systematic formalization.

Grice referred to a branch of conversational implicature - the generalized conversational implicature and the particularized conversational implicature in "Logic and Conversation" published in 1975.

Levinson helps to simplify meaning classification and contributes to the formation of a theory of generalized conversational implicature and the further development of conversational implicature studies.

The I-heuristics of GCIs and the Valence of V-R Compounds;

By analyzing the shades of distinctions between the conventional implicature and the generalized implicature, the author tries to focus on and explain the concept of conventionality of stereotypical relation in a cognitive way.

The theory of conversational implicature has developed from the "classical Gricean theory" represented by Grice s "Cooperative Principle"(which studies the particularized implicature) into the "neo-Gricean theory" represented by Levinson s Three Principles(which studies the generalized implicature).