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We introduce homing vector automata, which are finite automata augmented by a vector that is multiplied at each step by a matrix determined by the current transition, and have to return the vector to its original setting in order to accept…

Formal Languages and Automata Theory · Computer Science 2017-08-01 Özlem Salehi , A. C. Cem Say , Flavio D'Alessandro

We propose a hybrid architecture for systematically computing robust visual explanation(s) encompassing hypothesis formation, belief revision, and default reasoning with video data. The architecture consists of two tightly integrated…

Artificial Intelligence · Computer Science 2017-12-05 Jakob Suchan , Mehul Bhatt , Przemysław Wałęga , Carl Schultz

For widespread deployment in domains characterized by partial observability, non-deterministic actions and unforeseen changes, robots need to adapt sensing, processing and interaction with humans to the tasks at hand. While robots typically…

Artificial Intelligence · Computer Science 2013-08-05 Shiqi Zhang , Mohan Sridharan

Automata over infinite objects are a well-established model with applications in logic and formal verification. Traditionally, acceptance in such automata is defined based on the set of states visited infinitely often during a run. However,…

Formal Languages and Automata Theory · Computer Science 2025-09-22 Antonio Casares

Solving nonlinear SMT problems over real numbers has wide applications in robotics and AI. While significant progress is made in solving quantifier-free SMT formulas in the domain, quantified formulas have been much less investigated. We…

Logic in Computer Science · Computer Science 2018-07-24 Soonho Kong , Armando Solar-Lezama , Sicun Gao

While machine learning can accurately model process systems, models for decision making should also be structurally simple and physically interpretable. In process control, for example, (nearly) linear models are favored than nonlinear…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Wentao Tang

Presentations of Kan extensions of category actions provide a natural framework for expressing induced actions, and therefore a range of different combinatorial problems. Rewrite systems for Kan extensions have been defined and a variation…

Combinatorics · Mathematics 2007-05-23 Anne Heyworth

Autonomous driving systems are typically verified based on scenarios. To represent the positions and movements of cars in these scenarios, diagrams that utilize icons are typically employed. However, the interpretation of such diagrams is…

Software Engineering · Computer Science 2025-01-17 Toshiaki Aoki , Takashi Tomita , Tatsuji Kawai , Daisuke Kawakami , Nobuo Chida

First-order linear temporal logic (FOLTL) is a flexible and expressive formalism capable of naturally describing complex behaviors and properties. Although the logic is in general highly undecidable, the idea of using it as a specification…

Logic in Computer Science · Computer Science 2024-05-31 Luca Geatti , Alessandro Gianola , Nicola Gigante

We present a new model-based interpolation procedure for satisfiability modulo theories (SMT). The procedure uses a new mode of interaction with the SMT solver that we call solving modulo a model. This either extends a given partial model…

Logic in Computer Science · Computer Science 2021-06-09 Dejan Jovanović , Bruno Dutertre

Vision-Language Model (VLM) is an important component to enable robust robot manipulation. Yet, using it to translate human instructions into an action-resolvable intermediate representation often needs a tradeoff between…

We introduce homing vector automata, which are finite automata augmented by a vector that is multiplied at each step by a matrix determined by the current transition, and have to return the vector to its original setting in order to accept…

Formal Languages and Automata Theory · Computer Science 2015-09-21 Özlem Salehi , A. C. Cem Say

Artificial Intelligence problems, ranging form planning/scheduling up to game control, include an essential crucial step: describing a model which accurately defines the problem's required data, requirements, allowed transitions and…

Artificial Intelligence · Computer Science 2019-03-25 Andrei Arusoaie , Ionut Pistol

The manipulation of articulated objects is of primary importance in Robotics, and can be considered as one of the most complex manipulation tasks. Traditionally, this problem has been tackled by developing ad-hoc approaches, which lack…

Artificial Intelligence · Computer Science 2020-10-06 Riccardo Bertolucci , Alessio Capitanelli , Carmine Dodaro , Nicola Leone , Marco Maratea , Fulvio Mastrogiovanni , Mauro Vallati

We introduce languages of higher-dimensional automata (HDAs) and develop some of their properties. To this end, we define a new category of precubical sets, uniquely naturally isomorphic to the standard one, and introduce a notion of event…

Formal Languages and Automata Theory · Computer Science 2021-09-06 Uli Fahrenberg , Christian Johansen , Georg Struth , Krzysztof Ziemiański

Infinite-state games provide a framework for the synthesis of reactive systems with unbounded data domains. Solving such games typically relies on computing symbolic fixpoints, particularly symbolic attractors. However, these computations…

Logic in Computer Science · Computer Science 2026-01-21 Philippe Heim , Rayna Dimitrova

The paper discusses how compositional semantics is implemented in the Verbmobil speech-to-speech translation system using LUD, a description language for underspecified discourse representation structures. The description language and its…

cmp-lg · Computer Science 2008-02-03 Johan Bos , Björn Gambäck , Christian Lieske , Yoshiki Mori , Manfred Pinkal , Karsten Worm

This paper presents a framework for modeling, simulating, and checking properties of critical systems based on the Alloy language -- a declarative, first-order, relational logic with a built-in transitive closure operator. The paper…

Logic in Computer Science · Computer Science 2014-08-05 Aboubakr Achraf El Ghazi , Ulrich Geilmann , Mattias Ulbrich , Mana Taghdiri

In modern machine (ML) learning systems, Transformer-based architectures have achieved milestone success across a broad spectrum of tasks, yet understanding their operational mechanisms remains an open problem. To improve the transparency…

Machine Learning · Computer Science 2024-06-11 Yihao Zhang , Zeming Wei , Meng Sun

This article introduces an innovative architecture designed to declaratively combine Large Language Models (LLMs) with shared histories, and triggers to identify the most appropriate LLM for a given task. Our approach is general and…

Formal Languages and Automata Theory · Computer Science 2024-09-24 Thierry Petit , Arnault Pachot , Claire Conan-Vrinat , Alexandre Dubarry