Abstract. Girard’s Geometry of Interaction (GoI) develops a mathematical framework for modelling the dynamics of cut-elimination. We introduce a typed version of GoI, called Mult...
We study the bandwidth allocation problem Maximize U(x), subject to Ax ≤ c; x ≥ 0 where U is a utility function, x is a bandwidth allocation vector, and Ax ≤ c represent the...
SPKI/SDSI is a language for expressing distributed access control policy, derived from SPKI and SDSI. We provide a first-order logic (FOL) semantics for SDSI, and show that it ha...
We use viability techniques for solving Dirichlet problems with inequality constraints (obstacles) for a class of Hamilton-Jacobi equations. The hypograph of the “solution” is ...
Jean-Pierre Aubin, Alexandre M. Bayen, Patrick Sai...
Abstract. Consistency-based approaches in nonmonotonic reasoning may be expected to yield multiple sets of default conclusions for a given default theory. Reasoning about such exte...