APAL
2005
13 years 4 months ago
2005
We prove a full completeness theorem for multiplicative-additive linear logic (i.e. MALL) using a double gluing construction applied to Ehrhard's -autonomous category of hype...
APAL
2005
13 years 4 months ago
2005
We prove that S4 is complete with respect to Boolean combinations of countable unions of convex subsets of the real line, thus strengthening a 1944 result of McKinsey and Tarski (...
APAL
2005
13 years 4 months ago
2005
We present an extension of Heyting Arithmetic in finite types called Uniform Heyting Arithmetic (HAu) that allows for the extraction of optimized programs from constructive and cla...
APAL
2005
13 years 4 months ago
2005
We prove that if G is a group definable in a saturated o-minimal structure, then G has no infinite descending chain of type-definable subgroups of bounded index. Equivalently, G h...
APAL
2005
13 years 4 months ago
2005
We study the minimal enumeration degree (e-degree) problem in models of fragments of Peano arithmetic (PA) and prove the following results: In any model M of 2 induction, there is ...
APAL
2005
13 years 4 months ago
2005
APAL
2005
13 years 4 months ago
2005
The notions of common knowledge or common belief play an important role in several areas of computer science (e.g. distributed systems, communication), in philosophy, game theory,...
APAL
2005
13 years 4 months ago
2005