Second Order Logic Second-order logic is the extension of first-order logic obtained by introducing quantification of predicate and function variables. A first-order formula, say Fxy, may be converted to a second-order formula by replacing F with a...

Logic, Non-Classical The purpose of this entry is to survey those modern logics that are often called "non-classical," classical logic being the theory of validity concerning truth functions and first-order quantifiers likely to be found...

In logic and mathematics second-order logic is an extension of first-order logic, which itself is an extension of propositional logic.[1] Second-order logic is in turn extended by higher-order logic and type theory. Both first-order and second-order...

INTRODUCTION I. OVERVIEW OF AMERICAN IMMIGRATION LAW A. First-Order Policy Preferences B. Second-Order Institutional Design C. Constitutional Restrictions II. THE THEORY OF SECOND-ORDER IMMIGRATION DESIGN A. Information and Screening Devices B. Risk and Country-Specific Investment C. Other Factors D. A Comparison E. Positive...

ABSTRACT In variational data assimilation (VDA) for meteorological and/or oceanic models, the assimilated fields are deduced by combining the model and the gradient of a cost functional measuring discrepancy between model solution and observation, via a first-order optimality system. However, existence and uniqueness...