[图书][B] Computational complexity and statistical physics

A Percus, G Istrate, C Moore - 2006 - books.google.com
Computer science and physics have been closely linked since the birth of modern
computing. In recent years, an interdisciplinary area has blossomed at the junction of these …

[图书][B] Model-based transformations for quantified boolean formulas.

U Bubeck - 2010 - ub-net.de
Tremendous progress has been made on algorithms for determining the satisfiability of
propositional formulas (SAT). In the last 10-15 years, speed-ups of many orders of …

Towards Geometry-Preserving Reductions Between Constraint Satisfaction Problems (and other problems in NP)

G Istrate - arXiv preprint arXiv:2411.10453, 2024 - arxiv.org
Towards Geometry-Preserving Reductions Between Constraint Satisfaction Problems (and other
problems in NP) Page 1 M. Marin, L. Leustean (Eds.): 8th Symposium on Working Formal …

A continuous–discontinuous second‐order transition in the satisfiability of random Horn‐SAT formulas

C Moore, G Istrate, D Demopoulos… - Random Structures & …, 2007 - Wiley Online Library
We compute the probability of satisfiability of a class of random Horn‐SAT formulae,
motivated by a connection with the nonemptiness problem of finite tree automata. In …

The phase transition in random Horn satisfiability and its algorithmic implications

G Istrate - Random Structures & Algorithms, 2002 - Wiley Online Library
Let c> 0 be a constant, and Φ be a random Horn formula with n variables and m= c· 2n
clauses, chosen uniformly at random (with repetition) from the set of all nonempty Horn …

[HTML][HTML] Threshold properties of random boolean constraint satisfaction problems

G Istrate - Discrete applied mathematics, 2005 - Elsevier
We study threshold properties of random constraint satisfaction problems under a
probabilistic model due to Molloy [Models for random constraint satisfaction problems, in …

A sharp threshold for the phase transition of a restricted satisfiability problem for Horn clauses

PE Dunne, TJM Bench-Capon - The Journal of Logic and Algebraic …, 2001 - Elsevier
In this paper we examine a variant, k-HSAT, of the well-known Satisfiability problem,
wherein formula instances are limited to CNF formulae having exactly k literals in each …

A continuous-discontinuous second-order transition in the satisfiability of random Horn-SAT formulas

C Moore, G Istrate, D Demopoulos, MY Vardi - International Workshop on …, 2005 - Springer
We compute the probability of satisfiability of a class of random Horn-SAT formulae,
motivated by a connection with the nonemptiness problem of finite tree automata. In …

Combinatorial problems in graph drawing and knowledge representation

D Stasi - 2012 - search.proquest.com
We begin by establishing the strong Hanani-Tutte Theorem on the projective plane. Namely
we show that if a graph can be drawn in the projective plane so that every two non-adjacent …

[引用][C] Random horn formulas and propagation connectivity for directed hypergraphs

RH Sloan, D Stasi, G Turán - Discrete Mathematics & …, 2012 - dmtcs.episciences.org
Random Horn Formulas and Propagation Connectivity for Directed Hypergraphs Page 1
Discrete Mathematics and Theoretical Computer Science DMTCS vol. 14:2, 2012, 29–36 …