Analytic and synthetic in logic.

First, I will introduce the distinction between analytic and synthetic as a partition of propositions, proofs, programs and definitions, as an extension of the distinction between analytic categorical propositions and synthetic categorical propositions in ancient Logic. Secondly, I will discuss some logical questions concerning the distinction between analytic and synthetic, and I will present main results obtained in mathematical logic as answers to the logical questions concerning the relationships between analytic and synthetic. [ABSTRACT FROM AUTHOR]