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Answer Set Programming (ASP) solvers are highly-tuned and complex procedures that implicitly solve the consistency problem, i.e., deciding whether a logic program admits an answer set. Verifying whether a claimed answer set is formally a…

Logic in Computer Science · Computer Science 2019-07-25 Mario Alviano , Carmine Dodaro , Johannes K. Fichte , Markus Hecher , Tobias Philipp , Jakob Rath

Weighted Logic is a powerful tool for the specification of calculations over semirings that depend on qualitative information. Using a novel combination of Weighted Logic and Here-and-There (HT) Logic, in which this dependence is based on…

Artificial Intelligence · Computer Science 2022-11-14 Thomas Eiter , Rafael Kiesel

We present a general approach to planning with incomplete information in Answer Set Programming (ASP). More precisely, we consider the problems of conformant and conditional planning with sensing actions and assumptions. We represent…

Artificial Intelligence · Computer Science 2021-08-17 Jorge Fandinno , François Laferrière , Javier Romero , Torsten Schaub , Tran Cao Son

The paper introduces the notion of off-line justification for Answer Set Programming (ASP). Justifications provide a graph-based explanation of the truth value of an atom w.r.t. a given answer set. The paper extends also this notion to…

Artificial Intelligence · Computer Science 2008-12-04 Enrico Pontelli , Tran Cao Son , Omar Elkhatib

Given a combinatorial search problem, it may be highly useful to enumerate its (all) solutions besides just finding one solution, or showing that none exists. The same can be stated about optimal solutions if an objective function is…

Artificial Intelligence · Computer Science 2023-06-22 Jukka Pajunen , Tomi Janhunen

We tackle the problem of automatically designing concurrent data structure operations given a sequential data structure specification and knowledge about concurrent behavior. Designing concurrent code is a non-trivial task even in simplest…

Programming Languages · Computer Science 2021-09-27 Sarat Chandra Varanasi , Neeraj Mittal , Gopal Gupta

Answer set programming (ASP) is a well-established knowledge representation formalism. Most ASP solvers are based on (extensions of) technology from Boolean satisfiability solving. While these solvers have shown to be very successful in…

Logic in Computer Science · Computer Science 2020-09-23 Wolf De Wulf , Bart Bogaerts

We introduce an approach to detecting inconsistencies in large biological networks by using Answer Set Programming (ASP). To this end, we build upon a recently proposed notion of consistency between biochemical/genetic reactions and…

Logic in Computer Science · Computer Science 2010-07-02 Martin Gebser , Torsten Schaub , Sven Thiele , Philippe Veber

In recent years answer set programming has been extended to deal with multi-valued predicates. The resulting formalisms allows for the modeling of continuous problems as elegantly as ASP allows for the modeling of discrete problems, by…

Programming Languages · Computer Science 2011-04-28 Jeroen Janssen , Steven Schockaert , Dirk Vermeir , Martine De Cock

In this paper, we examine the use of Conformal Language Modelling (CLM) alongside Answer Set Programming (ASP) to enhance the performance of standard open-weight LLMs on complex multi-step reasoning tasks. Using the StepGame dataset, which…

Computation and Language · Computer Science 2025-04-14 Navdeep Kaur , Lachlan McPheat , Alessandra Russo , Anthony G Cohn , Pranava Madhyastha

Answer-Set Programming (ASP) is an established declarative programming paradigm. However, classical ASP lacks subprogram calls as in procedural programming, and access to external computations (like remote procedure calls) in general. The…

Artificial Intelligence · Computer Science 2011-09-01 Thomas Eiter , Thomas Krennwallner , Christoph Redl

Answer Set Programming (ASP) is a powerful modelling formalism that is very efficient in solving combinatorial problems. ASP solvers implement the stable model semantics that eliminates circular derivations between Boolean variables from…

Artificial Intelligence · Computer Science 2014-05-15 Rehan Abdul Aziz

Dynamic programming (DP) is a fundamental method in operations research, but formulating DP models has traditionally required expert knowledge of both the problem context and DP techniques. Large Language Models (LLMs) offer the potential…

Artificial Intelligence · Computer Science 2026-04-02 Chenyu Zhou , Jingyuan Yang , Linwei Xin , Yitian Chen , Ziyan He , Dongdong Ge

In this paper we explore the use of Answer Set Programming (ASP) to formalize, and reason about, psychological knowledge. In the field of psychology, a considerable amount of knowledge is still expressed using only natural language. This…

Artificial Intelligence · Computer Science 2011-02-11 Marcello Balduccini , Sara Girotto

Answer set programming (ASP) aims to realize the AI vision: The user specifies the problem, and the computer solves it. Indeed, ASP has made this vision true in many application domains. However, will current ASP solving techniques scale up…

Artificial Intelligence · Computer Science 2026-01-08 Veronika Semmelrock , Gerhard Friedrich

Answer-set programming (ASP) has emerged recently as a viable programming paradigm. We describe here an ASP system, DATALOG with constraints or DC, based on non-monotonic logic. Informally, DC theories consist of propositional clauses…

Artificial Intelligence · Computer Science 2007-05-23 Deborah East , Miroslaw Truszczynski

We introduce a new flexible paradigm of grounding and solving in Answer Set Programming (ASP), which we refer to as multi-shot ASP solving, and present its implementation in the ASP system clingo. Multi-shot ASP solving features grounding…

Artificial Intelligence · Computer Science 2018-03-21 Martin Gebser , Roland Kaminski , Benjamin Kaufmann , Torsten Schaub

Probabilistic Answer Set Programming under the credal semantics (PASP) extends Answer Set Programming with probabilistic facts that represent uncertain information. The probabilistic facts are discrete with Bernoulli distributions. However,…

Artificial Intelligence · Computer Science 2025-02-19 Damiano Azzolini , Fabrizio Riguzzi

Retrieval-augmented in-context learning has emerged as a powerful approach for addressing knowledge-intensive tasks using frozen language models (LM) and retrieval models (RM). Existing work has combined these in simple "retrieve-then-read"…

Computation and Language · Computer Science 2023-01-24 Omar Khattab , Keshav Santhanam , Xiang Lisa Li , David Hall , Percy Liang , Christopher Potts , Matei Zaharia

In this paper, we explore the concept of modularity in first-order answer set programming (ASP). We introduce a new formalism called parametric modular logic programs, which allows defining subprograms with parameters and intensionality…

Artificial Intelligence · Computer Science 2026-05-22 Jorge Fandinno , Yuliya Lierler , Torsten Schaub