We examine a number of results of infinite combinatorics using the techniques of reverse mathematics. Our results are inspired by similar results in recursive combinatorics. Theor...
We define the concept of a logic frame, which extends the concept stract logic by adding the concept of a syntax and an axiom system. In a recursive logic frame the syntax and the...
We present a logical framework Υ for reasoning on a very general class of languages featuring binding operators, called nominal , presented in higher-order abstract syntax (HOAS)....
Continuous first-order logic has found interest among model theorists who wish to extend the classical analysis of “algebraic” structures (such as fields, group, and graphs) ...
We define the notion of ordinal computability by generalizing standard Turing computability on tapes of length ω to computations on tapes of arbitrary ordinal length. The general...