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Full-Text Articles in Physical Sciences and Mathematics
What Is Answer Set Programming To Propositional Satisfiability, Yuliya Lierler
What Is Answer Set Programming To Propositional Satisfiability, Yuliya Lierler
Computer Science Faculty Publications
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 …
On Abstract Modular Inference Systems And Solvers, Yuliya Lierler, Miroslaw Truszczyński
On Abstract Modular Inference Systems And Solvers, Yuliya Lierler, Miroslaw Truszczyński
Computer Science Faculty Publications
Integrating diverse formalisms into modular knowledge representation systems offers increased expressivity, modeling convenience, and computational benefits. We introduce the concepts of abstract inference modules and abstract modular inference systems to study general principles behind the design and analysis of model generating programs, or solvers, for integrated multi-logic systems. We show how modules and modular systems give rise to transition graphs, which are a natural and convenient representation of solvers, an idea pioneered by the SAT community. These graphs lend themselves well to extensions that capture such important solver design features as learning. In the paper, we consider two …