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We propose relational linear programming, a simple framework for combing linear programs (LPs) and logic programs. A relational linear program (RLP) is a declarative LP template defining the objective and the constraints through the logical…

Artificial Intelligence · Computer Science 2014-10-14 Kristian Kersting , Martin Mladenov , Pavel Tokmakov

Argumentation is a non-monotonic process. This reflects the fact that argumentation involves uncertain information, and so new information can cause a change in the conclusions drawn. However, the base logic does not need to be…

Artificial Intelligence · Computer Science 2018-09-05 Anthony Hunter

We propose a stable model semantics for higher-order logic programs. Our semantics is developed using Approximation Fixpoint Theory (AFT), a powerful formalism that has successfully been used to give meaning to diverse non-monotonic…

Logic in Computer Science · Computer Science 2025-01-22 Bart Bogaerts , Angelos Charalambidis , Giannos Chatziagapis , Babis Kostopoulos , Samuele Pollaci , Panos Rondogiannis

We develop a denotational model for probabilistic and concurrent imperative programs, a class of programs with standard control flow via conditionals and while-loops, as well as probabilistic actions and parallel composition. Whereas…

Programming Languages · Computer Science 2025-06-10 Noam Zilberstein , Daniele Gorla , Alexandra Silva

Over the last two decades, there has been an extensive study on logical formalisms for specifying and verifying real-time systems. Temporal logics have been an important research subject within this direction. Although numerous logics have…

Logic in Computer Science · Computer Science 2013-08-06 Savas Konur

Non-deterministic planning aims to find a policy that achieves a given objective in an environment where actions have uncertain effects, and the agent - potentially - only observes parts of the current state. Hyperproperties are properties…

Logic in Computer Science · Computer Science 2024-05-24 Raven Beutner , Bernd Finkbeiner

The importance of transformations and normal forms in logic programming, and generally in computer science, is well documented. This paper investigates transformations and normal forms in the context of Defeasible Logic, a simple but…

Logic in Computer Science · Computer Science 2021-02-16 G. Antoniou , D. Billington , G. Governatori , M. J. Maher

Standpoint logics offer unified modal logic-based formalisms for representing multiple heterogeneous viewpoints. At the same time, many non-monotonic reasoning frameworks can be naturally captured using modal logics, in particular using the…

Artificial Intelligence · Computer Science 2025-11-18 Piotr Gorczyca , Hannes Strass

Prioritized default reasoning has illustrated its rich expressiveness and flexibility in knowledge representation and reasoning. However, many important aspects of prioritized default reasoning have yet to be thoroughly explored. In this…

Artificial Intelligence · Computer Science 2007-05-23 Yan Zhang

Functional logic programming (FLP) languages use non-terminating and non-confluent constructor systems (CS's) as programs in order to define non-strict non-determi-nistic functions. Two semantic alternatives have been usually considered for…

Programming Languages · Computer Science 2020-02-19 Adrián Riesco , Juan Rodríguez-Hortalá

We introduce a logical framework for the specification and verification of component-based systems, in which finitely many component instances are active, but the bound on their number is not known. Besides specifying and verifying…

Logic in Computer Science · Computer Science 2019-08-30 Marius Bozga , Radu Iosif , Joseph Sifakis

Modern answer set programming solvers such as CLINGO support advanced language constructs that improve the expressivity and conciseness of logic programs. Conditional literals are one such construct. They form "subformulas" that behave as…

Logic in Computer Science · Computer Science 2025-11-04 Zachary Hansen , Yuliya Lierler

This work is divided between two main areas: in the theory of multialgebras, we focus mostly on a new definition of what a freely generated object should be in their category, and on how this category is equivalent to another with partially…

Logic · Mathematics 2022-06-23 Guilherme Vicentin de Toledo

We propose a logical/mathematical framework for statistical parameter learning of parameterized logic programs, i.e. definite clause programs containing probabilistic facts with a parameterized distribution. It extends the traditional least…

Artificial Intelligence · Computer Science 2011-08-26 T. Sato , Y. Kameya

We introduce a new application for inductive logic programming: learning the semantics of programming languages from example evaluations. In this short paper, we explored a simplified task in this domain using the Metagol meta-interpretive…

Programming Languages · Computer Science 2019-07-23 Sándor Bartha , James Cheney

Recently there has been a surge of interest in operations research (OR) and the machine learning (ML) community in combining prediction algorithms and optimization techniques to solve decision-making problems in the face of uncertainty.…

Optimization and Control · Mathematics 2025-11-11 Utsav Sadana , Abhilash Chenreddy , Erick Delage , Alexandre Forel , Emma Frejinger , Thibaut Vidal

We present a probabilistic logic programming framework to reinforcement learning, by integrating reinforce-ment learning, in POMDP environments, with normal hybrid probabilistic logic programs with probabilistic answer set seman-tics, that…

Artificial Intelligence · Computer Science 2010-11-30 Emad Saad

Recursive definitions of predicates are usually interpreted either inductively or coinductively. Recently, a more powerful approach has been proposed, called flexible coinduction, to express a variety of intermediate interpretations,…

Programming Languages · Computer Science 2020-09-23 Francesco Dagnino , Davide Ancona , Elena Zucca

Dynamic Topological Logic ($\mathcal{DTL}$) is a combination of $\mathcal{S}${\em 4}, under its topological interpretation, and the temporal logic $\mathcal{LTL}$ interpreted over the natural numbers. $\mathcal{DTL}$ is used to reason about…

Logic · Mathematics 2016-11-22 David Fernández-Duque

In the past years, analyzers have been introduced to detect classes of non-terminating queries for definite logic programs. Although these non-termination analyzers have shown to be rather precise, their applicability on real-life Prolog…

Programming Languages · Computer Science 2011-09-16 Dean Voets , Danny De Schreye