#### Document Type

Article

#### Publication Date

12-16-2016

#### Publication Title

Constraints

#### Abstract

Propositional satisfiability (or satisfiability) and answer set programming are two closely related subareas of Artificial Intelligence that are used to model and solve difficult combinatorial search problems. Satisfiability solvers and answer set solvers are the software systems that find satisfying interpretations and answer sets for given propositional formulas and logic programs, respectively. These systems are closely related in their common design patterns. In satisfiability, a propositional formula is used to encode problem specifications in a way that its satisfying interpretations correspond to the solutions of the problem. To find solutions to a problem it is then sufficient to use a satisfiability solver on a corresponding formula. Niemelä, Marek, and Truszczyński coined answer set programming paradigm in 1999: in this paradigm a logic program encodes problem specifications in a way that the answer sets of a logic program represent the solutions of the problem. As a result, to find solutions to a problem it is sufficient to use an answer set solver on a corresponding program. These parallels that we just draw between paradigms naturally bring up a question: *what is a fundamental difference between the two?* This paper takes a close look at this question.

#### Recommended Citation

Lierler, Yuliya, "What is answer set programming to propositional satisfiability" (2016). *Computer Science Faculty Publications*. 65.

http://digitalcommons.unomaha.edu/compscifacpub/65

**Funded by the University of Nebraska at Omaha Open Access Fund**

## Comments

© The Author(s) 2016. This article is published with open access at Springerlink.com.