Abstract model theory below first-order logic

old_uid6976
titleAbstract model theory below first-order logic
start_date2009/05/18
schedule14h-16h
onlineno
summaryAbstract model theory (AMT) is all about characterizing logical languages in terms of their model theoretic properties. A well known example is Lindstrom's theorem, which states (in one of its version) that first-order logic is maximal for Compactness and the Lowenheim-Skolem theorem: every proper extension loses one of these properties. Lindstrom's theorem has been considered as a justification for the central role that first-order logic plays in many areas of logic. Traditionally, AMT has mostly focused on extensions of first-order logic. I will discuss some resuls in AMT that apply to languages weaker than, or incomparable to, first-order logic (e.g., modal logic).
responsiblesBonnay, Sandu