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We take a formal approach to the explainability problem of machine learning systems. We argue against the practice of interpreting black-box models via attributing scores to input components due to inherently conflicting goals of…

Machine Learning · Computer Science 2023-06-13 Kai Jia , Pasapol Saowakon , Limor Appelbaum , Martin Rinard

In the last years, abstract argumentation has met with great success in AI, since it has served to capture several non-monotonic logics for AI. Relations between argumentation framework (AF) semantics and logic programming ones are…

Artificial Intelligence · Computer Science 2020-02-19 Giovanni Amendola , Francesco Ricca

In this work, we continue our study on discrete abstractions of dynamical systems. To this end, we use a family of partitioning functions to generate an abstraction. The intersection of sub-level sets of the partitioning functions defines…

Systems and Control · Computer Science 2013-08-27 Rafael Wisniewski , Christoffer Sloth

In this paper, we present an epistemic logic approach to the compositionality of several privacy-related informationhiding/ disclosure properties. The properties considered here are anonymity, privacy, onymity, and identity. Our initial…

Cryptography and Security · Computer Science 2013-10-29 Yasuyuki Tsukada , Hideki Sakurada , Ken Mano , Yoshifumi Manabe

Strictness analysis is critical to efficient implementation of languages with non-strict evaluation, mitigating much of the performance overhead of laziness. However, reasoning about strictness at the source level can be challenging and…

Programming Languages · Computer Science 2026-01-12 Daniel Sainati , Joseph W. Cutler , Benjamin C. Pierce , Stephanie Weirich

I explore the relationships between Prawitz's approach to non-monotonic proof-theoretic validity, which I call reducibility semantics, and some later proof-theoretic approaches, which I call standard base semantics and Sandqvist's base…

Logic · Mathematics 2025-06-23 Antonio Piccolomini d'Aragona

Static code analysis is a powerful approach to detect quality deficiencies such as performance bottlenecks, safety violations or security vulnerabilities already during a software system's implementation. Yet, as current software systems…

Software Engineering · Computer Science 2017-10-23 Eric Bodden

Slang is a predominant form of informal language making flexible and extended use of words that is notoriously hard for natural language processing systems to interpret. Existing approaches to slang interpretation tend to rely on context…

Computation and Language · Computer Science 2022-05-03 Zhewei Sun , Richard Zemel , Yang Xu

The theory of abstract convexity, also known as convexity without linearity, is an extension of the classical convex analysis. There are a number of remarkable results, mostly concerning duality, and some numerical methods, however, this…

Optimization and Control · Mathematics 2025-02-20 Reinier Díaz Millán , Nadezda Sukhorukova , Julien Ugon

There is a growing interest in techniques for detecting whether a logic specification is satisfied too easily, or vacuously. For example, the specification "every request is eventually followed by an acknowledgment" is satisfied vacuously…

Logic in Computer Science · Computer Science 2010-10-14 Arie Gurfinkel , Marsha Chechik

We describe a derivational approach to abstract interpretation that yields novel and transparently sound static analyses when applied to well-established abstract machines. To demonstrate the technique and support our claim, we transform…

Programming Languages · Computer Science 2010-09-09 David Van Horn , Matthew Might

We give a calculus for reasoning about the first-order fragment of classical logic that is adequate for giving the truth conditions of intuitionistic Kripke frames, and outline a proof-theoretic soundness and completeness proof, which we…

Logic in Computer Science · Computer Science 2022-04-28 Robert Rothenberg

We show how static analysis for secure information flow can be expressed and proved correct entirely within the framework of abstract interpretation. The key idea is to define a Galois connection that directly approximates the hyperproperty…

Programming Languages · Computer Science 2016-11-08 Mounir Assaf , David A. Naumann , Julien Signoles , Éric Totel , Frédéric Tronel

Static analysis is sound in theory, but an implementation may unsoundly fail to analyze all of a program's code. Any such omission is a serious threat to the validity of the tool's output. Our work is the first to measure the prevalence of…

Software Engineering · Computer Science 2024-07-11 Jordan Samhi , René Just , Tegawendé F. Bissyandé , Michael D. Ernst , Jacques Klein

Finite-state abstractions (a.k.a. symbolic models) present a promising avenue for the formal verification and synthesis of controllers in continuous-space control systems. These abstractions provide simplified models that capture the…

Systems and Control · Electrical Eng. & Systems 2025-02-25 Daniel Ajeleye , Majid Zamani

There is a vast gap in the quality of IDE tooling between static languages like Java and dynamic languages like Python or JavaScript. Modern frameworks and libraries in these languages heavily use their dynamic capabilities to achieve the…

Programming Languages · Computer Science 2024-02-01 Franciszek Piszcz

We first partly develop a mathematical notion of stable consistency intended to reflect the actual consistency property of human beings. Then we give a generalization of the first and second G\"odel incompleteness theorem to stably…

Logic in Computer Science · Computer Science 2022-08-16 Yasha Savelyev

Requirements are informal and semi-formal descriptions of the expected behavior of a system. They are usually expressed in the form of natural language sentences and checked for errors manually, e.g., by peer reviews. Manual checks are…

Logic in Computer Science · Computer Science 2018-04-30 Simone Vuotto

The stability of dynamical systems against perturbations (variations in initial conditions/model parameters) is a property referred to as structural stability. The study of sensitivity to perturbation is essential because in experiment…

Quantum Physics · Physics 2014-11-18 Elliott Tammaro

Logic has proved essential for formally modeling software based systems. Such formal descriptions, frequently called specifications, have served not only as requirements documentation and formalisation, but also for providing the…

Logic in Computer Science · Computer Science 2021-07-20 Carlos G. Lopez Pombo , Thomas S. E. Maibaum