We show that each of the five basic theories of second order arithmetic that play a central role in reverse mathematics has a natural counterpart in the language of nonstandard ari...
In 2004 Csima, Hirschfeldt, Knight, and Soare [1] showed that a set A T 0 is nonlow2 if and only if A is prime bounding, i.e. for every complete atomic decidable theory T , there i...
There is a growing need for a theory of “local to global” in distributed multi-agent systems, one which is able systematically to describe and analyze a variety of problems. T...
We present in this paper a first-order axiomatization of an extended theory T of finite or infinite trees, built on a signature containing an infinite set of function symbols and ...
Khalil Djelloul, Thi-Bich-Hanh Dao, Thom W. Fr&uum...
The paper applies modal logic to formalize fragments of argumentation theory. Such formalization allows to import, for free, a wealth of new notions (e.g., argument equivalence), ...