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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …