We prove that every computably enumerable (c.e.) random real is provable in Peano Arithmetic (PA) to be c.e. random. A major step in the proof is to show that the theorem stating ...
We describe a construction of the real numbers carried out in the Coq proof assistant. The basis is a set of axioms for the constructive real numbers as used in the FTA (Fundamenta...
Motivated by applications to proof assistants based on dependent types, we develop and prove correct a strong reducer and equivalence checker for the -calculus with products, sums...
Translation validation consists of transforming a program and a posteriori validating it in order to detect a modification of its semantics. This approach can be used in a verifie...
The lazy caching algorithm of Afek, Brown, and Merrit (1993) is a protocol that allows the use of local caches with delayed updates. It results in a memory model that is not atomi...