The F5 algorithm is presented by Faug`ere in 2002. However, Faug`ere have not provide the rigorous proofs so far. In this paper, we will give a new complete proof and hence reveal ...
Faug`ere's criterion used in the F5 algorithm is still not understand and thus there are not many implementations of this algorithm. We state its proof using syzygies to expl...
State-of-the-art automated theorem provers (ATPs) are today able to solve relatively complicated mathematical problems. But as ATPs become stronger and more used by mathematicians...
ded abstract of this paper appears in Fast Software Encryption, FSE 2004, Lecture Notes in Computer Science, W. Meier and B. Roy editors, Springer-Verlag, 2004. This is the full ve...
Abstract. The paper introduces a new proof-number (PN) search algorithm, called PDS-PN. It is a two-level search, which performs at the first level a depth-first Proof-number and D...
Mark H. M. Winands, Jos W. H. M. Uiterwijk, H. Jaa...