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» Proofs as Polynomials
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FOCS
1990
IEEE
15 years 2 months ago
IP=PSPACE
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...
Adi Shamir
IJCAI
1993
14 years 11 months ago
On the Polynomial Transparency of Resolution
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 ...
Reinhold Letz
SAC
2006
ACM
15 years 4 months ago
Provably faithful evaluation of polynomials
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¬...
Sylvie Boldo, César Muñoz
CSL
2010
Springer
14 years 11 months ago
On Slicewise Monotone Parameterized Problems and Optimal Proof Systems for TAUT
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...
Yijia Chen, Jörg Flum
ECCC
2010
82views more  ECCC 2010»
14 years 10 months ago
On optimal proof systems and logics for PTIME
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...
Yijia Chen, Jörg Flum