We upgrade the light Dialectica interpretation [6] by adding two more light universal quantifiers, which are both semi-computational and semi-uniform and complement each other. An...
We demonstrate program extraction by the Light Dialectica Interpretation (LDI) on a minimal logic proof of the classical existence of Fibonacci numbers. This semi-classical proof ...
We give a Natural Deduction formulation of an adaptation of G¨odel’s functional (Dialectica) interpretation to the extraction of (more) efficient programs from (classical) proof...
This paper provides a retrospective view of the design of SRI’s Provably Secure Operating System (PSOS), a formally specified tagged-capability hierarchical system architecture...
Convergence analysis of consensus algorithms is revisited in the light of the Hilbert distance. The Lyapunov function used in the early analysis by Tsitsiklis is shown to be the Hi...
Rodolphe Sepulchre, Alain Sarlette, Pierre Rouchon