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For optimization models to be used in practice, it is crucial that users trust the results. A key factor in this aspect is the interpretability of the solution process. A previous framework for inherently interpretable optimization models…

Optimization and Control · Mathematics 2026-02-13 Marc Goerigk , Michael Hartisch , Sebastian Merten , Kartikey Sharma

We present a novel approach for recommending actionable strategies by integrating strategic frameworks with decision heuristics through semantic analysis. While strategy frameworks provide systematic models for assessment and planning, and…

Artificial Intelligence · Computer Science 2025-03-11 Renato Ghisellini , Remo Pareschi , Marco Pedroni , Giovanni Battista Raggi

Many potentially non-terminating functions cannot be directly defined in a logic of total functions, such as HOL. A well-known solution to this is to define non-terminating functions using a clock that forces termination at a certain depth…

Logic in Computer Science · Computer Science 2018-03-12 Ramana Kumar , Magnus O. Myreen

This paper obtains a completeness result for inequational reasoning with applicative terms without variables in a setting where the intended semantic models are the full structures, the full type hierarchies over preorders for the base…

Logic in Computer Science · Computer Science 2022-02-18 Lawrence S. Moss , Thomas F. Icard

The traditional abstract domain framework for imperative programs suffers from several shortcomings; in particular it does not allow precise symbolic abstractions. To solve these problems, we propose a new abstract interpretation framework,…

Software Engineering · Computer Science 2018-01-01 Matthieu Lemerre , Sébastien Bardin

Qualification has been recently introduced as a generalization of uncertainty in the field of Logic Programming. In this report we investigate a more expressive language for First-Order Functional Logic Programming with Constraints and…

Programming Languages · Computer Science 2011-01-12 Rafael Caballero , Mario Rodríguez-Artalejo , Carlos A. Romero-Díaz

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

We propose a method for automatically generating abstract transformers for static analysis by abstract interpretation. The method focuses on linear constraints on programs operating on rational, real or floating-point variables and…

Programming Languages · Computer Science 2008-11-04 David Monniaux

Many programming languages and tools, ranging from grep to the Java String library, contain regular expression matchers. Rather than first translating a regular expression into a deterministic finite automaton, such implementations…

Logic in Computer Science · Computer Science 2011-08-17 Asiri Rathnayake , Hayo Thielecke

The termination method of weakly monotonic algebras, which has been defined for higher-order rewriting in the HRS formalism, offers a lot of power, but has seen little use in recent years. We adapt and extend this method to the alternative…

Logic in Computer Science · Computer Science 2012-03-27 Carsten Fuhs , Cynthia Kop

In this paper, we develop a provably correct optimal control strategy for a finite deterministic transition system. By assuming that penalties with known probabilities of occurrence and dynamics can be sensed locally at the states of the…

Robotics · Computer Science 2013-03-15 Mária Svoreňová , Ivana Černá , Calin Belta

We present a method for automatic inference of conditions on the initial states of a program that guarantee that the safety assertions in the program are not violated. Constrained Horn clauses (CHCs) are used to model the program and…

Logic in Computer Science · Computer Science 2018-04-18 Bishoksan Kafle , John P. Gallagher , Graeme Gange , Peter Schachte , Harald Sondergaard , Peter J. Stuckey

It is well established that formulating an effective constraint model of a problem of interest is crucial to the efficiency with which it can subsequently be solved. Following from the observation that it is difficult, if not impossible, to…

Artificial Intelligence · Computer Science 2023-11-21 Ian Miguel , András Z. Salamon , Christopher Stone

Automatically generating formal specifications including loop invariants, preconditions, and postconditions for legacy code is critical for program understanding, reuse and verification. However, the inherent complexity of control and data…

Software Engineering · Computer Science 2026-01-21 Fanpeng Yang , Xu Ma , Shuling Wang , Xiong Xu , Qinxiang Cao , Naijun Zhan , Xiaofeng Li , Bin Gu

Catamorphisms are functions that are recursively defined on list and trees and, in general, on Algebraic Data Types (ADTs), and are often used to compute suitable abstractions of programs that manipulate ADTs. Examples of catamorphisms…

Logic in Computer Science · Computer Science 2025-02-19 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

Program verification and synthesis frameworks that allow one to customize the language in which one is interested typically require the user to provide a formally defined semantics for the language. Because writing a formal semantics can be…

Programming Languages · Computer Science 2024-09-10 Jiangyi Liu , Charlie Murphy , Anvay Grover , Keith J. C. Johnson , Thomas Reps , Loris D'Antoni

Reinforcement learning is a promising approach for learning control policies for robot tasks. However, specifying complex tasks (e.g., with multiple objectives and safety constraints) can be challenging, since the user must design a reward…

Machine Learning · Computer Science 2020-10-30 Kishor Jothimurugan , Rajeev Alur , Osbert Bastani

We present a framework for symbolically executing and model checking higher-order programs with external (open) methods. We focus on the client-library paradigm and in particular we aim to check libraries with respect to any definable…

Programming Languages · Computer Science 2020-02-24 Yu-Yang Lin , Nikos Tzevelekos

This paper presents a new static analysis for deriving upper bounds on the expected resource consumption of probabilistic programs. The analysis is fully automatic and derives symbolic bounds that are multivariate polynomials of the inputs.…

Programming Languages · Computer Science 2017-11-27 Van Chan Ngo , Quentin Carbonneaux , Jan Hoffmann

Reasoning about correctness and security of software is increasingly difficult due to the complexity of modern microarchitectural features such as out-of-order execution. A class of security vulnerabilities termed Spectre that exploits side…

Programming Languages · Computer Science 2020-04-02 Robert J. Colvin , Kirsten Winter
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