In [Sh92], Adi Shamir proved a complete characterization of the complexity class IP. He showed that when both randomization and interaction are allowed, the proofs that can be ver...
In this paper a framework is developed for measuring the complexities of deductions in an ab stract and computationally perspicuous man ner. As a notion of central importance ...
We provide sufficient conditions that formally guarantee that the floating-point computation of a polynomial evaluation is faithful. To this end, we develop a formalization of ï¬...
Abstract. For a reasonable sound and complete proof calculus for firstorder logic consider the problem to decide, given a sentence of firstorder logic and a natural number n, whet...
We prove that TAUT has a p-optimal proof system if and only if a logic related to least fixed-point logic captures polynomial time on all finite structures. Furthermore, we show t...