[PDF] Top 20 Lower bounds: from circuits to QBF proof systems
Has 10000 "Lower bounds: from circuits to QBF proof systems" found on our website. Below are the top 20 most common "Lower bounds: from circuits to QBF proof systems".
Lower bounds: from circuits to QBF proof systems
... and QBF proof complexity sketched in the beginning, the main precursor of our work is the paper (Beyersdorff, Chew, and Janota, ...a lower bound argument for the proof size originates ... See full document
29
Elusive Functions and Lower Bounds for Arithmetic Circuits
... arithmetic circuits with a single input ...arithmetic circuits (i. e., bounded-depth arith- metic circuits without ...prove lower bounds for bounded-depth arithmetic ... See full document
43
Average-Case Lower Bounds and Satisfiability Algorithms for Small Threshold Circuits
... These lower bounds are worst-case lower bounds—they show that for any sequence of small circuits, there exist inputs of every length on which the circuits fail to compute ... See full document
55
Lower Bounds for Non-Commutative Skew Circuits
... arithmetic circuits from this latter point of ...exponential lower bounds for non-commutative arithmetic formulas (a restriction of general non-commutative arithmetic circuits) and more ... See full document
38
New Algorithms and Lower Bounds for Circuits With Linear Threshold Gates
... THR circuits, in which case all lower bounds proved against such circuits must be ...the proof that NEXP 6⊂ ACC is “truly” non-naturalizing; it could be that the natural proofs barrier ... See full document
25
On monotone circuits with local oracles and clique lower bounds
... that lower bounds on the size of monotone circuits with local oracles separating the sets U n,k and V n,k (defined below) imply lower bounds on the size of general (dag-like) R(Lin/ F 2 ... See full document
18
Succinct Hitting Sets and Barriers to Proving Lower Bounds for Algebraic Circuits
... the lower bounds obtained for monotone circuits ([84]), as there the notion of a “random monotone function” is not ...techniques from uniform ...natural proof can avoid the implications ... See full document
45
Certifying Polynomials for $\mathrm{AC}^0[\oplus]$ Circuits, with Applications to Lower Bounds and Circuit Compression
... The fundamental question we would like to answer is whether we can prove a size-hierarchy theorem for AC 0 [⊕] analogous to the results of Rossman [26] and Amano [4] for AC 0 . It would even be interesting to obtain the ... See full document
24
Arithmetic Circuits with Locally Low Algebraic Rank
... proving lower bounds for homogeneous depth-4 arithmetic circuits (Gupta et ...depth-4 circuits of low algebraic rank, which are a natural extension of homogeneous depth-4 arithmetic ... See full document
33
Understanding Gentzen and Frege Systems for QBF
... Boolean circuits [28]) as their underlying ...and proof complexity, very strong lower bounds have been obtained for QBF Frege, the strongest of which yields an exponential lower ... See full document
11
On Circuit Lower Bounds from Derandomization
... for circuits, requires proving superpolynomial circuit lower bounds for EXP (see [4], for ...circuit lower bounds for ...circuit lower bounds of some ...Boolean ... See full document
8
Matrix Rigidity and the Croot-Lev-Pach Lemma
... One of the most important problems in theoretical computer science is to prove unconditional complexity lower bounds for realistic models of computation. Despite decades of attempts, we are still unable to ... See full document
7
Monotone Projection Lower Bounds from Extended Formulation Lower Bounds
... Ω(1) lower bound on monotone circuits computing the permanent, a lower bound that still remains ...alternative proof of a 2 n Ω(1) lower bound on the ...monotone circuits of size ... See full document
15
Majority is incompressible by AC0P circuits
... prove lower bounds for weaker models are still interesting, and an improved understanding of these techniques can have substantial ...unconditional lower bounds and algorithmic results, which ... See full document
34
Lower Bounds for Data Structures with Space Close to Maximum Imply Circuit Lower Bounds
... structure lower bounds and matrix ...data-structure lower bounds to other challenges in computational ...to circuits with arbitrary ...data-structure lower bound, even against ... See full document
9
Reasons for Hardness in QBF Proof Systems
... B. Lower bounds for relaxing ...propositional bounds from QBF bounds arising from quantifier ...exponential lower bound for relaxing QU-Res given in [12] applies ... See full document
15
Separation of AC$^0[\oplus]$ Formulas and Circuits
... powerful lower-bound techniques against AC 0 circuits (Håstad’s Switching Lemma [6]) and AC 0 [⊕] circuits (the Polynomial Method of Razborov [13] and Smolensky ...between circuits and ... See full document
20
Genuine Lower Bounds for QBF Expansion
... genuine lower bounds in expansion-based QBF proof ...of QBF semantics. As applications, we prove an exponential proof-size lower bound for a whole class of formula ... See full document
15
Separation of Multilinear Circuit and Formula Size
... Super-polynomial lower bounds for the size of multilinear formulas were recently proved ...multilinear circuits for the permanent or the determinant are of exponential size, and hence these ... See full document
15
Proof complexity of resolution-based QBF calculi
... Proof systems for quantified Boolean formulas (QBFs) provide a theoretical underpinning for the performance of important QBF ...the proof complexity of these proof systems is ... See full document
14
Related subjects