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Backtracking search is a powerful algorithmic paradigm that can be used to solve many problems. It is in a certain sense the dual of variable elimination; but on many problems, e.g., SAT, it is vastly superior to variable elimination in…

Artificial Intelligence · Computer Science 2012-12-12 Fahiem Bacchus , Shannon Dalmao , Toniann Pitassi

Due to their uncertainty quantification, Bayesian solutions to inverse problems are the framework of choice in applications that are risk averse. These benefits come at the cost of computations that are in general, intractable. New advances…

Machine Learning · Computer Science 2024-05-10 Rafael Orozco , Ali Siahkoohi , Mathias Louboutin , Felix J. Herrmann

The growing availability of large and complex datasets has increased interest in temporal stochastic processes that can capture stylized facts such as marginal skewness, non-Gaussian tails, long memory, and even non-Markovian dynamics.…

Machine Learning · Statistics 2025-10-09 Dan Leonte , Raphaël Huser , Almut E. D. Veraart

In-memory computing (IMC) has been shown to be a promising approach for solving binary optimization problems while significantly reducing energy and latency. Building on the advantages of parallel computation, we propose an IMC-compatible…

State-of-the-art algorithms for industrial instances of MaxSAT problem rely on iterative calls to a SAT solver. Preprocessing is crucial for the acceleration of SAT solving, and the key preprocessing techniques rely on the application of…

Artificial Intelligence · Computer Science 2013-10-17 Anton Belov , Antonio Morgado , Joao Marques-Silva

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

In various scenarios, a single phase of modelling and solving is either not sufficient or not feasible to solve the problem at hand. A standard approach to solving AI planning problems, for example, is to incrementally extend the planning…

Artificial Intelligence · Computer Science 2020-09-24 Gökberk Koçak , Özgür Akgün , Nguyen Dang , Ian Miguel

Inference in Bayes Nets (BAYES) is an important problem with numerous applications in probabilistic reasoning. Counting the number of satisfying assignments of a propositional formula (#SAT) is a closely related problem of fundamental…

Artificial Intelligence · Computer Science 2014-01-16 Fahiem Bacchus , Shannon Dalmao , Toniann Pitassi

Ising machines are emerging as a new technology for solving various classes of computationally hard problems of practical importance, yet their limits on structured SAT workloads, representative of numerous real-world applications, remain…

The Hierarchical Inference (HI) paradigm employs a tiered processing: the inference from simple data samples are accepted at the end device, while complex data samples are offloaded to the central servers. HI has recently emerged as an…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-17 Adarsh Prasad Behera , Roberto Morabito , Joerg Widmer , Jaya Prakash Champati

Program analysis is on the brink of mainstream in embedded systems development. Formal verification of behavioural requirements, finding runtime errors and automated test case generation are some of the most common applications of automated…

Software Engineering · Computer Science 2014-09-23 Peter Schrammel , Daniel Kroening , Martin Brain , Ruben Martins , Tino Teige , Tom Bienmüller

Amortized Bayesian Inference (ABI) enables efficient posterior estimation using generative neural networks trained on simulated data, but often suffers from performance degradation under model misspecification. While self-consistency (SC)…

Machine Learning · Statistics 2026-02-27 Aayush Mishra , Šimon Kucharský , Paul-Christian Bürkner

The article "Interpolation and SAT-Based Model Checking" (McMillan, 2003) describes a formal-verification algorithm, which was originally devised to verify safety properties of finite-state transition systems. It derives interpolants from…

Software Engineering · Computer Science 2024-03-14 Dirk Beyer , Nian-Ze Lee , Philipp Wendler

We study the problem of optimal state-feedback tracking control for unknown discrete-time deterministic systems with input constraints. To handle input constraints, state-of-art methods utilize a certain nonquadratic stage cost function,…

Systems and Control · Electrical Eng. & Systems 2020-12-09 Alexandros Tanzanakis , John Lygeros

The IC3 algorithm, also known as PDR, is a SAT-based model checking algorithm that has significantly influenced the field in recent years due to its efficiency, scalability, and completeness. It utilizes SAT solvers to solve a series of SAT…

Logic in Computer Science · Computer Science 2025-05-22 Yuheng Su , Qiusong Yang , Yiwei Ci , Yingcheng Li , Tianjun Bu , Ziyu Huang

Model counting ($\#\text{SAT}$) is a fundamental yet $\#\text{P}$-complete problem central to probabilistic reasoning. In this work, we address \textit{incremental model counting}, where sequences of structurally similar formulas must be…

Logic in Computer Science · Computer Science 2026-05-04 Uriya Bartal , Dror Fried , Jean-Marie Lagniez

This paper describes a novel unbounded software model checking approach to find errors in programs written in the C language based on incremental SAT-solving. Instead of using the traditional assumption based API to incremental SAT solvers…

Symbolic Computation · Computer Science 2018-02-14 Marko Kleine Büning , Tomas Balyo , Carsten Sinz

Artificial Intelligence for Theorem Proving has given rise to a plethora of benchmarks and methodologies, particularly in Interactive Theorem Proving (ITP). Research in the area is fragmented, with a diverse set of approaches being spread…

Artificial Intelligence · Computer Science 2025-02-14 Sean Lamont , Michael Norrish , Amir Dezfouli , Christian Walder , Paul Montague

The wide adoption of machine learning in the critical domains such as medical diagnosis, law, education had propelled the need for interpretable techniques due to the need for end users to understand the reasoning behind decisions due to…

Artificial Intelligence · Computer Science 2020-01-08 Bishwamittra Ghosh , Kuldeep S. Meel

Inference and decision making under uncertainty are key processes in every autonomous system and numerous robotic problems. In recent years, the similarities between inference and decision making triggered much work, from developing unified…

Artificial Intelligence · Computer Science 2021-01-06 Elad I. Farhi , Vadim Indelman
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