We find the number of partitions of n whose BG-rank is j, in terms of pp(n), the number of pairs of partitions whose total number of cells is n, giving both bijective and generati...
In this paper, we introduce the systems ns-ACA0 and ns-WKL0 of non-standard second-order arithmetic in which we can formalize non-standard arguments in ACA0 and WKL0, respectively...
Abstract. In 2008, Groth and Sahai proposed a general methodology for constructing non-interactive zeroknowledge (and witness-indistinguishable) proofs in bilinear groups. While av...
Olivier Blazy, Georg Fuchsbauer, Malika Izabach&eg...
Proof planning is an automated reasoning technique which improves proof search by raising it to a meta-level. In this paper we apply proof planning to First-Order Linear Temporal L...
Recently, significant advances have been made in formalised mathematical texts for large, demanding proofs. But although such large developments are possible, they still take an i...