In this paper we ask the question whether the extended Frege proof system EF satisfies a weak version of the deduction theorem. We prove that if this is the case, then complete dis...
The Sandwich Theorems proved in this paper give a new method to show that the partition function a(n) of a partition identity A(x) := n=0 a(n)xn = n=1 (1 - xn )-p(n) satisfies t...
: We prove two extensions of the Hales-Jewett coloring theorem. The first is a polynomial version of a finitary case of Furstenberg and Katznelson's multiparameter elaboration...
We establish several approximate max-integral-flow / minmulticut theorems. While in general this ratio can be very large, we prove strong approximation ratios in the case where th...
The Verifying Compiler (VC) project is a core component of the Dependable Systems Evolution Grand Challenge. The VC offers the promise of automatically proving that a program or c...