Cut elimination is a central result of the proof theory. This paper proposes a new approach for proving the theorem for Gentzen’s intuitionistic sequent calculus LJ, that relies ...
The "direct product code" of a function f gives its values on all k-tuples (f(x1), . . . , f(xk)). This basic construct underlies "hardness amplification" in c...
Russell Impagliazzo, Valentine Kabanets, Avi Wigde...
Abstract: This paper describes some tools to support formal methods, and conversely some formal methods for developing such tools. We focus on distributed cooperative proving over ...
Joseph A. Goguen, Kai Lin, A. Mori, Grigore Rosu, ...
Deductive retrieval and deductive synthesis are two conceptually closely related software development methods which apply theorem proving techniques to support the construction of...
Any proof of P = NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does n...