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» Proofs as Polynomials
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FOCS
1990
IEEE
13 years 10 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
13 years 8 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
14 years 20 days 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
13 years 7 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»
13 years 6 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