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The lambda calculus is a widely accepted computational model of higher-order functional pro- grams, yet there is not any direct and universally accepted cost model for it. As a consequence, the computational difficulty of reducing lambda…

Logic in Computer Science · Computer Science 2012-02-09 Beniamino Accattoli , Ugo Dal Lago

Answer-set programming (ASP) paradigm is a way of using logic to solve search problems. Given a search problem, to solve it one designs a theory in the logic so that models of this theory represent problem solutions. To compute a solution…

Logic in Computer Science · Computer Science 2007-05-23 Deborah East , Miroslaw Truszczynski

We address the problem of belief change in (nonmonotonic) logic programming under answer set semantics. Unlike previous approaches to belief change in logic programming, our formal techniques are analogous to those of distance-based belief…

Artificial Intelligence · Computer Science 2009-12-31 James Delgrande , Torsten Schaub , Hans Tompits , Stefan Woltran

We investigate non-wellfounded proof systems based on parsimonious logic, a weaker variant of linear logic where the exponential modality ! is interpreted as a constructor for streams over finite data. Logical consistency is maintained at a…

Logic in Computer Science · Computer Science 2025-09-03 Matteo Acclavio , Gianluca Curzi , Giulio Guerrieri

A standard informal method for analyzing the asymptotic complexity of a program is to extract a recurrence that describes its cost in terms of the size of its input, and then to compute a closed-form upper bound on that recurrence. We give…

Programming Languages · Computer Science 2022-08-09 Norman Danner , Daniel R. Licata

In Answer Set Programming (ASP), the user can define declaratively a problem and solve it with efficient solvers; practical applications of ASP are countless and several constraint problems have been successfully solved with ASP. On the…

Artificial Intelligence · Computer Science 2023-05-23 Paola Cappanera , Marco Gavanelli , Maddalena Nonato , Marco Roma

We unify functional and logic programming by treating predicatesas functions equipped with their support: the set of inputs whose output is nonzero. Datalog, for instance, is a language of finitely supported boolean functions. Finite…

Programming Languages · Computer Science 2026-04-30 Michael Arntzenius , Max Willsey

A linear program with linear complementarity constraints (LPCC) requires the minimization of a linear objective over a set of linear constraints together with additional linear complementarity constraints. This class has emerged as a…

Optimization and Control · Mathematics 2018-02-09 Bin Yu , John E. Mitchell , Jong-Shi Pang

We consider a class of stochastic programming problems where the implicitly decision-dependent random variable follows a nonparametric regression model with heteroscedastic error. The Clarke subdifferential and surrogate functions are not…

Optimization and Control · Mathematics 2025-05-13 Boyang Shen , Junyi Liu

This paper describes a general framework for automatic termination analysis of logic programs, where we understand by ``termination'' the finitenes s of the LD-tree constructed for the program and a given query. A general property of…

Programming Languages · Computer Science 2020-06-11 Nachum Dershowitz , Naomi Lindenstrauss , Yehoshua Sagiv , Alexander Serebrenik

We construct new algorithms from scratch, which use the fourth order cumulant of stochastic variables for the cost function. The multiplicative updating rule here constructed is natural from the homogeneous nature of the Lie group and has…

Machine Learning · Computer Science 2015-06-25 Toshinao Akuzawa , Noboru Murata

We report on the automation of a technique to prove the correctness of program transformations in higher-order program calculi which may permit recursive let-bindings as they occur in functional programming languages. A program…

Logic in Computer Science · Computer Science 2019-02-25 David Sabel

DatalogMTL is a powerful rule-based language for temporal reasoning. Due to its high expressive power and flexible modeling capabilities, it is suitable for a wide range of applications, including tasks from industrial and financial…

Artificial Intelligence · Computer Science 2025-12-16 Shaoyu Wang , Kaiyue Zhao , Dongliang Wei , Przemysław Andrzej Wałęga , Dingmin Wang , Hongming Cai , Pan Hu

We provide here a computational interpretation of first-order logic based on a constructive interpretation of satisfiability w.r.t. a fixed but arbitrary interpretation. In this approach the formulas themselves are programs. This contrasts…

Logic in Computer Science · Computer Science 2007-05-23 Krzysztof R. Apt , Marc Bezem

HEX-programs are an extension of the Answer Set Programming (ASP) paradigm incorporating external means of computation into the declarative programming language through so-called external atoms. Their semantics is defined in terms of…

Logic in Computer Science · Computer Science 2013-01-09 Thomas Eiter , Michael Fink , Thomas Krennwallner , Christoph Redl , Peter Schüller

The general setting of this work is the constraint-based synthesis of termination arguments. We consider a restricted class of programs called lasso programs. The termination argument for a lasso program is a pair of a ranking function and…

Logic in Computer Science · Computer Science 2014-01-22 Matthias Heizmann , Jochen Hoenicke , Jan Leike , Andreas Podelski

Answer set programming (ASP) is a paradigm for declarative problem solving where problems are first formalized as rule sets, i.e., answer-set programs, in a uniform way and then solved by computing answer sets for programs. The…

Artificial Intelligence · Computer Science 2011-08-31 Mai Nguyen , Tomi Janhunen , Ilkka Niemelä

Most of the engineering and physical systems are generally characterized by differential and difference equations based on their continuous-time and discrete-time dynamics, respectively. Moreover, these dynamical models are analyzed using…

Logic in Computer Science · Computer Science 2021-11-22 Muhammad Ahmed , Adnan Rashid

We propose and study algorithms to compute minimal models, stable models and answer sets of t-CNF theories, and normal and disjunctive t-programs. We are especially interested in algorithms with non-trivial worst-case performance bounds.…

Logic in Computer Science · Computer Science 2007-05-23 Z. Lonc , M. Truszczynski

We present a one-fits-all programmatic approach to reason about a plethora of objectives on probabilistic programs. The first ingredient is to add a reward-statement to the language. We then define a program transformation applying a…

Programming Languages · Computer Science 2026-03-04 Philipp Schröer , Joost-Pieter Katoen