Generating hard satisfiability problems

B Selman, DG Mitchell, HJ Levesque - Artificial intelligence, 1996 - Elsevier
We report results from large-scale experiments in satisfiability testing. As has been observed
by others, testing the satisfiability of random formulas often appears surprisingly easy. Here …

The complexity of logic-based abduction

T Eiter, G Gottlob - Journal of the ACM (JACM), 1995 - dl.acm.org
Abduction is an important form of nonmonotonic reasoning allowing one to find explanations
for certain symptoms or manifestations. When the application domain is described by a …

[PDF][PDF] Polynomial time approximation schemes for dense instances of NP-hard problems

S Arora, D Karger, M Karpinski - … of the twenty-seventh annual ACM …, 1995 - dl.acm.org
We present a unified framework for designing polynomial time approximation
schemes(PTASS) for “dense” instances of many NP-hard optimization problems, including …

[PS][PS] Algorithms for the satisfiability (SAT) problem: A survey.

J Gu, PW Purdom, JV Franco… - … problem: Theory and …, 1996 - dimacs.rutgers.edu
The satis ability (SAT) problem is a core problem in mathematical logic and computing
theory. In practice, SAT is fundamental in solving many problems in automated reasoning …

[KNJIGA][B] Propositional logic: deduction and algorithms

HK Büning, T Lettmann - 1999 - books.google.com
This account of propositional logic concentrates on the algorithmic translation of important
methods, especially of decision procedures for (subclasses of) propositional logic. Important …

[PDF][PDF] Finding hard instances of the satisfiability problem: A survey.

SA Cook, DG Mitchell - Satisfiability problem: Theory and …, 1996 - calebrascon.info
Finding sets of hard instances of propositional satis ability is of interest for understanding the
complexity of SAT, and for experimentally evaluating SAT algorithms. In discussing this we …

[PDF][PDF] Improved approximation guarantees for minimum-weight k-trees and prize-collecting salesmen

B Awerbuch, Y Azar, A Blum, S Vempala - Proceedings of the twenty …, 1995 - dl.acm.org
Consider a salesperson that must sell some quota of brushes in order to win a trip to Hawaii.
This salesperson has a map (a weighted graph) in which each city has an attached demand …

A deterministic (2− 2/(k+ 1)) n algorithm for k-SAT based on local search

E Dantsin, A Goerdt, EA Hirsch, R Kannan… - Theoretical Computer …, 2002 - Elsevier
Local search is widely used for solving the propositional satisfiability problem. Papadimitriou
(1991) showed that randomized local search solves 2-SAT in polynomial time. Recently …

Abduction from logic programs: Semantics and complexity

T Eiter, G Gottlob, N Leone - Theoretical computer science, 1997 - Elsevier
Abduction—from observations and a theory, find using hypotheses an explanation for the
observations—gained increasing interest during the last years. This form of reasoning has …

[PDF][PDF] An empirical study of greedy local search for satisfiability testing

B Selman, HA Kautz - AAAI, 1993 - Citeseer
GSAT is a randomized local search procedure for solving propositional satisfiability
problems. GSAT can solve hard, randomly generated problems that are an order of …