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We show that intuitionistic propositional logic is \emph{Carnap categorical}: the only interpretation of the connectives consistent with the intuitionistic consequence relation is the standard interpretation. This holds relative to the most…

Logic · Mathematics 2022-12-27 Haotian Tong , Dag Westerståhl

A wide range of defenses have been proposed to harden neural networks against adversarial attacks. However, a pattern has emerged in which the majority of adversarial defenses are quickly broken by new attacks. Given the lack of success at…

Machine Learning · Computer Science 2020-02-05 Ali Shafahi , W. Ronny Huang , Christoph Studer , Soheil Feizi , Tom Goldstein

Do question answering (QA) modeling improvements (e.g., choice of architecture and training procedure) hold consistently across the diverse landscape of QA benchmarks? To study this question, we introduce the notion of concurrence -- two…

Computation and Language · Computer Science 2023-06-01 Nelson F. Liu , Tony Lee , Robin Jia , Percy Liang

Dung's abstract framework for argumentation enables a study of the interactions between arguments based solely on an ``attack'' binary relation on the set of arguments. Various ways to solve conflicts between contradictory pieces of…

Artificial Intelligence · Computer Science 2007-05-23 C. Cayrol , S. Doutre , M. -C. Lagasquie-Schiex , J. Mengin

We study formal languages which are capable of fully expressing quantitative probabilistic reasoning and do-calculus reasoning for causal effects, from a computational complexity perspective. We focus on satisfiability problems whose…

Artificial Intelligence · Computer Science 2023-05-17 Benito van der Zander , Markus Bläser , Maciej Liśkiewicz

The rule $\mathrm{Defeated}(x) \leftarrow \mathrm{Attacks}(y,x),\, \neg \, \mathrm{Defeated}(y)$, evaluated under the well-founded semantics (WFS), yields a unique 3-valued (skeptical) solution of an abstract argumentation framework (AF).…

Artificial Intelligence · Computer Science 2025-06-03 Bertram Ludäscher , Yilin Xia , Shawn Bowers

Argumentation is a very active research field of Artificial Intelligence concerned with the representation and evaluation of arguments used in dialogues between humans and/or artificial agents. Acceptability semantics of formal…

Artificial Intelligence · Computer Science 2025-03-05 Zlatina Mileva , Antonis Bikakis , Fabio Aurelio D'Asaro , Mark Law , Alessandra Russo

In this article we formally define and investigate the computational complexity of the Definability Problem for open first-order formulas (i.e., quantifier free first-order formulas) with equality. Given a logic $\mathbf{\mathcal{L}}$, the…

Computational Complexity · Computer Science 2019-04-10 Carlos Areces , Miguel Campercholi , Daniel Penazzi , Pablo Ventura

Modern shared memory multiprocessors permit reordering of memory operations for performance reasons. These reorderings are often a source of subtle bugs in programs written for such architectures. Traditional approaches to verify weak…

Software Engineering · Computer Science 2016-02-29 Ganesh Narayanaswamy , Saurabh Joshi , Daniel Kroening

We develop a forcing framework based on the idea of amalgamating language fragments into a theory with a canonical term model. We then demonstrate the usefulness of this framework by applying it to variants of the extended Namba problem, as…

Logic · Mathematics 2024-12-30 Desmond Lau

Motivated by recent connections to factorised databases, we analyse the efficiency of representations by context free grammars (CFGs). Concretely, we prove a recent conjecture by Kimelfeld, Martens, and Niewerth (ICDT 2025), that for finite…

Databases · Computer Science 2025-04-01 Stefan Mengel , Harry Vinall-Smeeth

Powerful formalisms for abstract argumentation have been proposed, among them abstract dialectical frameworks (ADFs) that allow for a succinct and flexible specification of the relationship between arguments, and the GRAPPA framework which…

Artificial Intelligence · Computer Science 2020-04-22 Gerhard Brewka , Martin Diller , Georg Heissenberger , Thomas Linsbichler , Stefan Woltran

Epistemic Logic Programs (ELPs), that is, Answer Set Programming (ASP) extended with epistemic operators, have received renewed interest in recent years, which led to a flurry of new research, as well as efficient solvers. An important…

Logic in Computer Science · Computer Science 2018-11-13 Wolfgang Faber , Michael Morak , Stefan Woltran

The paper develops a formal theory of the degree of justification of arguments, which relies solely on the structure of an argumentation framework, and which can be successfully interfaced with approaches to instantiated argumentation. The…

Artificial Intelligence · Computer Science 2018-11-09 Davide Grossi , Sanjay Modgil

Comparative constructions play an important role in natural language inference. However, attempts to study semantic representations and logical inferences for comparatives from the computational perspective are not well developed, due to…

Computation and Language · Computer Science 2019-10-03 Izumi Haruta , Koji Mineshima , Daisuke Bekki

This paper focuses on argument component classification for transcribed spoken classroom discussions, with the goal of automatically classifying student utterances into claims, evidence, and warrants. We show that an existing method for…

Computation and Language · Computer Science 2019-09-09 Luca Lugini , Diane Litman

We present a new and compelling approach to the efficient solution of important computational problems that arise in the context of abstract argumentation. Our approach makes known algorithms defined for restricted fragments generally…

Artificial Intelligence · Computer Science 2011-04-18 Sebastian Ordyniak , Stefan Szeider

We describe several views of the semantics of a simple programming language as formal documents in the calculus of inductive constructions that can be verified by the Coq proof system. Covered aspects are natural semantics, denotational…

Logic in Computer Science · Computer Science 2007-07-10 Yves Bertot

Scaling language models to longer contexts is essential for capturing rich dependencies across extended discourse. However, na\"ive context extension imposes significant computational and memory burdens, often resulting in inefficiencies…

Computation and Language · Computer Science 2026-02-03 Wenhao Li , Bangcheng Sun , Weihao Ye , Tianyi Zhang , Daohai Yu , Fei Chao , Rongrong Ji

We extend concurrent game structures (CGSs) with a simple notion of preference over computations and define a minimal notion of rationality for agents based on the concept of dominance. We use this notion to interpret a CL and an ATL…

Logic in Computer Science · Computer Science 2025-02-19 Yinfeng Li , Emiliano Lorini , Munyque Mittelmann