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CDC
2010
IEEE
216views Control Systems» more  CDC 2010»
8 years 15 days ago
On infinity norms as Lyapunov functions: Alternative necessary and sufficient conditions
This paper considers the synthesis of infinity norm Lyapunov functions for discrete-time linear systems. A proper conic partition of the state-space is employed to construct a fini...
Mircea Lazar
QEST
2010
IEEE
8 years 3 months ago
Reasoning about MDPs as Transformers of Probability Distributions
We consider Markov Decision Processes (MDPs) as transformers on probability distributions, where with respect to a scheduler that resolves nondeterminism, the MDP can be seen as ex...
Vijay Anand Korthikanti, Mahesh Viswanathan, Gul A...
CONSTRAINTS
1999
120views more  CONSTRAINTS 1999»
8 years 5 months ago
Refined Inequalities for Stable Marriage
We consider two approaches to the stable marriage problem: proposal algorithms and describing the stable matching polytope using linear inequalities. We illuminate the relationship...
Brian Aldershof, Olivia M. Carducci, David C. Lore...
COMBINATORICS
2007
86views more  COMBINATORICS 2007»
8 years 5 months ago
Lower Bounds for the Football Pool Problem for 7 and 8 Matches
Let k3(n) denote the minimal cardinality of a ternary code of length n and covering radius one. In this paper we show k3(7) ≥ 156 and k3(8) ≥ 402 improving on the best previou...
Wolfgang Haas
ICALP
2001
Springer
8 years 10 months ago
On Generating All Minimal Integer Solutions for a Monotone System of Linear Inequalities
We consider the problem of enumerating all minimal integer solutions of a monotone system of linear inequalities. We first show that for any monotone system of r linear inequaliti...
Endre Boros, Khaled M. Elbassioni, Vladimir Gurvic...
ATVA
2009
Springer
158views Hardware» more  ATVA 2009»
9 years 2 days ago
Logahedra: A New Weakly Relational Domain
Weakly relational numeric domains express restricted classes of linear inequalities that strike a balance between what can be described and what can be efficiently computed. Popula...
Jacob M. Howe, Andy King
VMCAI
2009
Springer
9 years 8 days ago
SubPolyhedra: A (More) Scalable Approach to Infer Linear Inequalities
Abstract. We introduce Subpolyhedra (SubPoly) a new numerical abstract domain to infer and propagate linear inequalities. SubPoly is as expressive as Polyhedra, but it drops some o...
Vincent Laviron, Francesco Logozzo
CAV
2009
Springer
218views Hardware» more  CAV 2009»
9 years 6 months ago
Cuts from Proofs: A Complete and Practical Technique for Solving Linear Inequalities over Integers
Abstract. We propose a novel, sound, and complete Simplex-based algorithm for solving linear inequalities over integers. Our algorithm, which can be viewed as a semantic generaliza...
Isil Dillig, Thomas Dillig, Alex Aiken
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