Publication
On Linear Arithmetic with Stars
Related publications (50)
Results on Sparse Integer Programming and Geometric Independent Sets
An integer linear program is a problem of the form max{c^T x : Ax=b, x >= 0, x integer}, where A is in Z^(n x m), b in Z^m, and c in Z^n.Solving an integer linear program is NP-hard in general, but there are several assumptions for which it becomes fixed p ...
EPFL2023Worst-Case Delay Analysis of Time-Sensitive Networks with Network Calculus
Seyed Mohammadhossein Tabatabaee
Time-sensitive networks, as in the context of IEEE Time-Sensitive Networking (TSN) and IETF Deterministic Networking (DetNet), offer deterministic services with guaranteed bounded latency in order to support safety-critical applications. In this thesis, we ...
EPFL2023NP Satisfiability for Arrays as Powers
We show that the satisfiability problem for the quantifier-free theory of product structures with the equicardinality relation is inNP. As an application, we extend the combinatory array logic fragmentto handle cardinality constraints. The resulting fragme ...
Springer, Cham2022Particle Size Effects in Ru/CNF Catalysts during Supercritical Water Gasification of Glycerol
Oliver Kröcher, Frédéric Vogel, David Baudouin, Ayush Agarwal
Ru/CNF catalysts of different Ru nanoparticle (NP) sizes (0.9-2.7 nm) were assessed for their performance in continuous supercritical water gasification (SCWG) of glycerol. A structure sensitivity of Ru was demonstrated, with high initial turnover frequenc ...
2022Automating cutting planes is NP-hard
We show that Cutting Planes (CP) proofs are hard to find: Given an unsatisfiable formula F, It is -hard to find a CP refutation of F in time polynomial in the length of the shortest such refutation; and unless Gap-Hitting-Set admits a nontrivial algorithm, ...
ACM2021Learning from survey propagation: a neural network for MAX-E-3-SAT
Many natural optimization problems are NP-hard, which implies that they are probably hard to solve exactly in the worst-case. However, it suffices to get reasonably good solutions for all (or even most) instances in practice. This paper presents a new algo ...
IOP PUBLISHING LTD2021Sparsity Invariance for Convex Design of Distributed Controllers
Maryam Kamgarpour, Luca Furieri, Yu Zheng
We address the problem of designing optimal linear time-invariant (LTI) sparse controllers for LTI systems, which corresponds to minimizing a norm of the closed-loop system subjected to sparsity constraints on the controller structure. This problem is NP-h ...
2020No Small Linear Program Approximates Vertex Cover Within a Factor 2-epsilon
Ola Nils Anders Svensson, Abbas Bazzi
The vertex cover problem is one of the most important and intensively studied combinatorial optimization problems. Khot and Regev [Khot S, Regev O (2008) Vertex cover might be hard to approximate to within 2 - epsilon. J. Comput. System Sci. 74(3): 335-349 ...
INFORMS2019Modeling Superlattices of Dipolar and Polarizable Semiconducting Nanoparticles
We present an analytical model to describe the stability of arbitrary semiconducting nanoparticle (NP) superlattices as a function of the dipole and polarizability of their constituents. We first validate our model by comparison with density functional the ...
AMER CHEMICAL SOC2019Satisfiability-Based Methods for Digital Circuit Design, Debug, and Optimization
Designing digital circuits well is notoriously difficult. This difficulty stems in part from the very
many degrees of freedom inherent in circuit design, typically coupled with the need to satisfy
various constraints. In this thesis, we demonstrate how for ...
EPFL2018