In previous work we presented a foundational calculus for spatially distributed computing based on intuitionistic modal logic. With the modalities P and Q we were able to capture t...
We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
The proof system G∗ 0 of the quantified propositional calculus corresponds to NC1 , and G∗ 1 corresponds to P, but no formula-based proof system that corresponds log space rea...
Abstract. It has been proved by Niwi´nski and Walukiewicz that a deterministic tree language is either Π1 1 -complete or it is on the level Π0 3 of the Borel hierarchy, and that...
Implementations of real number computations have largely been unusable in practice because of their very bad performance, especially in comparison to floating point arithmetic imp...
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...
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...
ce, the publication of the abstract of the thesis and the citation in the CSL proceedings, and travel support to attend the conference. The first Ackermann Award is presented at t...
We consider the setting of L-nets, recently introduced by Faggian and Maurel as a game model of concurrent interaction and based on Girard’s Ludics. We show how L-nets satisfying...