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The large size and complex decision mechanisms of state-of-the-art text classifiers make it difficult for humans to understand their predictions, leading to a potential lack of trust by the users. These issues have led to the adoption of…

We show that context semantics can be fruitfully applied to the quantitative analysis of proof normalization in linear logic. In particular, context semantics lets us define the weight of a proof-net as a measure of its inherent complexity:…

Logic in Computer Science · Computer Science 2009-09-29 Ugo Dal Lago

Metric Temporal Logic (MTL) is a prominent specification formalism for real-time systems. In this paper, we show that the satisfiability problem for MTL over finite timed words is decidable, with non-primitive recursive complexity. We also…

Logic in Computer Science · Computer Science 2017-01-11 Joel Ouaknine , James Worrell

Negotiation is a central mechanism of economic exchange, shaping markets, procurement, labor agreements, and resource allocation. It is also a canonical testbed for agentic language models, requiring multi-turn interaction under hidden…

Computer Science and Game Theory · Computer Science 2026-05-15 Erica Zhang , Fangzhao Zhang , Aneesh Pappu , Batu El , Jose Blanchet , Susan Athey , Jiashuo Liu , James Zou

We study the fluted fragment of first-order logic which is often viewed as a multi-variable non-guarded extension to various systems of description logics lacking role-inverses. In this paper we show that satisfiable fluted sentences (even…

Logic in Computer Science · Computer Science 2024-12-02 Daumantas Kojelis

We consider parameterized verification of systems executing according to the total store ordering (TSO) semantics. The processes manipulate abstract data types over potentially infinite domains. We present a framework that translates the…

Formal Languages and Automata Theory · Computer Science 2023-02-14 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Florian Furbach , Adwait Godbole , Yacoub G. Hendi , Shankaranarayanan Krishna , Stephan Spengler

Interpretability has become an essential topic for artificial intelligence in some high-risk domains such as healthcare, bank and security. For commonly-used tabular data, traditional methods trained end-to-end machine learning models with…

Artificial Intelligence · Computer Science 2022-08-18 Haixiao Chi , Dawei Wang , Gaojie Cui , Feng Mao , Beishui Liao

Incorporating constraints is a major concern in probabilistic machine learning. A wide variety of problems require predictions to be integrated with reasoning about constraints, from modelling routes on maps to approving loan predictions.…

Machine Learning · Computer Science 2020-01-31 Ioannis Papantonis , Vaishak Belle

We study various notions of dependency in semiring team semantics. Semiring teams are essentially database relations, where each tuple is annotated with some element from a positive semiring. We consider semiring generalizations of several…

Logic in Computer Science · Computer Science 2025-10-10 Minna Hirvonen

Being able to interpret, or explain, the predictions made by a machine learning model is of fundamental importance. This is especially true when there is interest in deploying data-driven models to make high-stakes decisions, e.g. in…

Machine Learning · Computer Science 2019-10-01 An-phi Nguyen , María Rodríguez Martínez

We start the study of the enumeration complexity of different satisfiability problems in first-order team logics. Since many of our problems go beyond DelP, we use a framework for hard enumeration analogous to the polynomial hierarchy,…

Logic in Computer Science · Computer Science 2021-01-01 Anselm Haak , Arne Meier , Fabian Müller , Heribert Vollmer

Characteristic formulae give a complete logical description of the behaviour of processes modulo some chosen notion of behavioural semantics. They allow one to reduce equivalence or preorder checking to model checking, and are exactly the…

Logic in Computer Science · Computer Science 2026-03-27 Luca Aceto , Antonis Achilleos , Aggeliki Chalki , Anna Ingolfsdottir

Hybrid branching-time logics are introduced as extensions of CTL-like logics with state variables and the downarrow-binder. Following recent work in the linear framework, only logics with a single variable are considered. The expressive…

Logic in Computer Science · Computer Science 2007-08-14 Volker Weber

The aim of this paper is to study the complexity of the model checking problem MC for inquisitive propositional logic InqB and for inquisitive modal logic InqM, that is, the problem of deciding whether a given finite structure for the logic…

Logic in Computer Science · Computer Science 2024-04-01 Gianluca Grilletti , Ivano Ciardelli

We consider the setting of stochastic multiagent systems modelled as stochastic multiplayer games and formulate an automated verification framework for quantifying and reasoning about agents' trust. To capture human trust, we work with a…

Logic in Computer Science · Computer Science 2019-05-17 Xiaowei Huang , Marta Kwiatkowska , Maciej Olejnik

This paper introduces operators, semantics, characterizations, and solution-independent conditions to guarantee temporal logic specifications for hybrid dynamical systems. Hybrid dynamical systems are given in terms of differential…

Systems and Control · Electrical Eng. & Systems 2020-06-17 Hyejin Han , Ricardo G. Sanfelice

Given a formula in a temporal logic such as LTL or MTL, a fundamental problem is the complexity of evaluating the formula on a given finite word. For LTL, the complexity of this task was recently shown to be in NC. In this paper, we present…

Logic in Computer Science · Computer Science 2014-04-29 Daniel Bundala , Joël Ouaknine

Moral responsibility is a major concern in autonomous systems, with applications ranging from self-driving cars to kidney exchanges. Although there have been recent attempts to formalise responsibility and blame, among similar notions, the…

Artificial Intelligence · Computer Science 2021-02-02 Lewis Hammond , Vaishak Belle

In spite of several claims stating that some models are more interpretable than others -- e.g., "linear models are more interpretable than deep neural networks" -- we still lack a principled notion of interpretability to formally compare…

Artificial Intelligence · Computer Science 2020-11-16 Pablo Barceló , Mikaël Monet , Jorge Pérez , Bernardo Subercaseaux

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
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