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The IC3 algorithm represents the state-of-the-art (SOTA) hardware model checking technique, owing to its robust performance and scalability. A significant body of research has focused on enhancing the solving efficiency of the IC3…

Logic in Computer Science · Computer Science 2026-04-24 Xiaofeng Zhou , Guangyu Hu , Hongce Zhang , Wei Zhang

We present a novel approach for generalizing the IC3 algorithm for invariant checking from finite-state to infinite-state transition systems, expressed over some background theories. The procedure is based on a tight integration of IC3 with…

Logic in Computer Science · Computer Science 2013-10-28 Alessandro Cimatti , Alberto Griggio , Sergio Mover , Stefano Tonetta

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

Modeling time related aspects is important in many applications of verification methods. For precise results, it is necessary to interpret time as a dense domain, e.g. using timed automata as a formalism, even though the system's resulting…

Logic in Computer Science · Computer Science 2012-04-26 Roland Kindermann , Tommi Junttila , Ilkka Niemelä

Satisfiability Modulo Theories (SMT) refers to the problem of deciding the satisfiability of a formula with respect to certain background first order theories. In this paper, we focus on Satisfiablity Modulo Integer Arithmetic, which is…

Logic in Computer Science · Computer Science 2023-05-18 Shaowei Cai , Bohan Li , Xindi Zhang

The development of embedded systems requires formal analysis of models such as those described with MATLAB/Simulink. However, the increasing complexity of industrial models makes analysis difficult. This paper proposes a model checking…

Logic in Computer Science · Computer Science 2022-06-08 Daisuke Ishii , Takashi Tomita , Toshiaki Aoki , The Quyen Ngo , Thi Bich Ngoc Do , Hideaki Takai

Satisfiability Modulo Theories (SMT) solvers incorporate decision procedures for theories of data types that commonly occur in software. This makes them important tools for automating verification problems. A limitation frequently…

Logic in Computer Science · Computer Science 2015-08-28 Kshitij Bansal , Andrew Reynolds , Tim King , Clark Barrett , Thomas Wies

Propositional bounded model checking has been applied successfully to verify embedded software but is limited by the increasing propositional formula size and the loss of structure during the translation. These limitations can be reduced by…

Software Engineering · Computer Science 2009-07-14 Lucas Cordeiro , Bernd Fischer , Joao Marques-Silva

Model checking is an automatic formal verification technique that is widely used in hardware verification. The state-of-the-art complete model-checking techniques, based on IC3/PDR and its general variant CAR, are based on computing…

Logic in Computer Science · Computer Science 2024-11-04 Yibo Dong , Yu Chen , Jianwen Li , Geguang Pu , Ofer Strichman

In this paper, we present rIC3, an efficient bit-level hardware model checker primarily based on the IC3 algorithm. It boasts a highly efficient implementation and integrates several recently proposed optimizations, such as the specifically…

Formal Languages and Automata Theory · Computer Science 2025-05-22 Yuheng Su , Qiusong Yang , Yiwei Ci , Tianjun Bu , Ziyu Huang

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

Even the fastest SMT solvers have performance problems with regular expressions from real programs. Because these performance issues often arise from the problem representation (e.g. non-deterministic finite automata get determinized and…

Logic in Computer Science · Computer Science 2017-08-31 Arlen Cox , Jason Leasure

Math word problem (MWP) solving requires generating a reasoning path based on a given problem description that often contains irrelevant conditions. Existing chain-of-thought (CoT) prompting methods elicited multi-step reasoning abilities…

Computation and Language · Computer Science 2024-03-20 Zhenyu Wu , Chao Shen , Meng Jiang

One of the effective model checking methods is to utilize the efficient decision procedure of SAT (or SMT) solvers. In a SAT-based model checking, a system and its property are encoded into a set of logic formulas and the safety is checked…

Logic in Computer Science · Computer Science 2022-03-14 Daisuke Ishii , Saito Fujii

Classical control of cyber-physical systems used to rely on basic linear controllers. These controllers provided a safe and robust behavior but lack the ability to perform more complex controls such as aggressive maneuvering or performing…

Logic in Computer Science · Computer Science 2019-04-22 Guillaume Davy , Eric Féron , Pierre-Loïc Garoche , Didier Henrion

Spatial aspects of computation are becoming increasingly relevant in Computer Science, especially in the field of collective adaptive systems and when dealing with systems distributed in physical space. Traditional formal verification…

Logic in Computer Science · Computer Science 2019-03-14 Vincenzo Ciancia , Diego Latella , Michele Loreti , Mieke Massink

Integrating combinatorial optimization layers into neural networks has recently attracted significant research interest. However, many existing approaches lack theoretical guarantees or fail to perform adequately when relying on inexact…

Machine Learning · Computer Science 2025-09-30 Germain Vivier-Ardisson , Mathieu Blondel , Axel Parmentier

In-context learning (ICL) is a new paradigm for natural language processing that utilizes Generative Pre-trained Transformer (GPT)-like models. This approach uses prompts that include in-context demonstrations to generate the corresponding…

Computation and Language · Computer Science 2024-01-24 Momin Abbas , Yi Zhou , Parikshit Ram , Nathalie Baracaldo , Horst Samulowitz , Theodoros Salonidis , Tianyi Chen

Integer linear programming (ILP) models a wide range of practical combinatorial optimization problems and significantly impacts industry and management sectors. This work proposes new characterizations of ILP with the concept of boundary…

Optimization and Control · Mathematics 2024-03-04 Peng Lin , Shaowei Cai , Mengchuan Zou , Jinkun Lin

The LOCAL model is among the main models for studying locality in the framework of distributed network computing. This model is however subject to pertinent criticisms, including the facts that all nodes wake up simultaneously, perform in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-09 Carole Delporte-Gallet , Hugues Fauconnier , Pierre Fraigniaud , Mikaël Rabie
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