Pure, or type-free, Linear Logic proof nets are Turing complete once cut-elimination is5 considered as computation. We introduce modal impredicativity as a new form of impredicati...
The implementation of a correctly rounded or interval elementary function needs to be proven carefully in the very last details. The proof requires a tight bound on the overall er...
Florent de Dinechin, Christoph Quirin Lauter, Guil...
Verification of object-oriented programs relies on object invariants which express consistency criteria of objects. The semantics of object invariants is subtle, mainly because of...
Sophia Drossopoulou, Adrian Francalanza, Peter M&u...
We introduce a natural deduction formulation for the Logic of Proofs, a refinement of modal logic S4 in which the assertion PA is replaced by [[s]]A whose intended reading is “s...
We present the different constructive definitions of real number that can be found in the literature. Using domain theory we analyse the notion of computability that is substant...