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Restart policy is an important technique used in modern Conflict-Driven Clause Learning (CDCL) solvers, wherein some parts of the solver state are erased at certain intervals during the run of the solver. In most solvers, variable…

Logic in Computer Science · Computer Science 2024-04-23 Chunxiao Li , Charlie Liu , Jonathan Chung , Zhengyang Lu , Piyush Jha , Vijay Ganesh

Interference is a phenomenon on proof systems for SAT solving that is both counter-intuitive and bothersome when developing proof-logging techniques. However, all existing proof systems that can produce short proofs for all inprocessing…

Logic in Computer Science · Computer Science 2025-08-14 Adrian Rebola-Pardo

In computational complexity theory, a decision problem is NP-complete when it is both in NP and NP-hard. Although a solution to a NP-complete can be verified quickly, there is no known algorithm to solve it in polynomial time. There exists…

Computational Complexity · Computer Science 2018-03-28 Wenxia Guo , Jin Wang , Majun He , Xiaoqin Ren , Wenhong Tian , Qingxian Wang

CNF-based SAT and MaxSAT solvers are central to logic synthesis and verification systems. The increasing popularity of these constraint problems in electronic design automation encourages studies on different SAT problems and their…

Neural and Evolutionary Computing · Computer Science 2021-07-16 Feng Shi , Chonghan Lee , Mohammad Khairul Bashar , Nikhil Shukla , Song-Chun Zhu , Vijaykrishnan Narayanan

We propose a software architecture where SAT solvers act as a shared network resource for distributed business applications. There can be multiple parallel SAT solvers running either on dedicated hardware (a multi-processor system or a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-02 Sergejs Kozlovičs

A universal rule-based self-learning approach using deep reinforcement learning (DRL) is proposed for the first time to solve nonlinear ordinary differential equations and partial differential equations. The solver consists of a deep neural…

Machine Learning · Computer Science 2019-05-30 Shiyin Wei , Xiaowei Jin , Hui Li

In this project, we aimed to improve the runtime of Minisat, a Conflict-Driven Clause Learning (CDCL) solver that solves the Propositional Boolean Satisfiability (SAT) problem. We first used a logistic regression model to predict the…

Artificial Intelligence · Computer Science 2017-11-01 Haoze Wu

As large language models (LLMs) are becoming more capable and widespread, the study of their failure cases is becoming increasingly important. Recent advances in standardizing, measuring, and scaling test-time compute suggest new…

Machine Learning · Computer Science 2025-06-26 Mahdi Sabbaghi , Paul Kassianik , George Pappas , Yaron Singer , Amin Karbasi , Hamed Hassani

In this paper we present a portfolio LTL-satisfiability solver, called Polsat. To achieve fast satisfiability checking for LTL formulas, the tool integrates four representative LTL solvers: pltl, TRP++, NuSMV, and Aalta. The idea of Polsat…

Logic in Computer Science · Computer Science 2013-11-08 Jianwen Li , Geguang Pu , Lijun Zhang , Yinbo Yao , Moshe Y. Vardi , Jifeng he

To solve hard problems, AI relies on a variety of disciplines such as logic, probabilistic reasoning, machine learning and mathematical programming. Although it is widely accepted that solving real-world problems requires an integration…

Artificial Intelligence · Computer Science 2020-01-14 Vaishak Belle , Luc De Raedt

Recent research in areas such as SAT solving and Integer Linear Programming has shown that the performances of a single arbitrarily efficient solver can be significantly outperformed by a portfolio of possibly slower on-average solvers. We…

Artificial Intelligence · Computer Science 2014-01-07 Roberto Amadini , Maurizio Gabbrielli , Jacopo Mauro

The CTL learning problem consists in finding for a given sample of positive and negative Kripke structures a distinguishing CTL formula that is verified by the former but not by the latter. Further constraints may bound the size and shape…

Logic in Computer Science · Computer Science 2024-04-17 Adrien Pommellet , Daniel Stan , Simon Scatton

A delta-model is a satisfying assignment of a Boolean formula for which any small alteration, such as a single bit flip, can be repaired by flips to some small number of other bits, yielding a new satisfying assignment. These satisfying…

Artificial Intelligence · Computer Science 2011-09-30 A. Roy

This paper introduces the 2019 version of \us{}, a novel Constraint Programming framework for floating point verification problems expressed with the SMT language of SMTLIB. SMT solvers decompose their task by delegating to specific…

Artificial Intelligence · Computer Science 2020-03-02 Heytem Zitoun , Claude Michel , Laurent Michel , Michel Rueher

Bayesian deep learning (BDL) is a promising approach to achieve well-calibrated predictions on distribution-shifted data. Nevertheless, there exists no large-scale survey that evaluates recent SOTA methods on diverse, realistic, and…

Machine Learning · Computer Science 2023-10-26 Florian Seligmann , Philipp Becker , Michael Volpp , Gerhard Neumann

While accelerated computing has transformed many domains of computing, its impact on logical reasoning, specifically Boolean satisfiability (SAT), remains limited. State-of-the-art SAT solvers rely heavily on inherently sequential…

Logic in Computer Science · Computer Science 2025-11-12 Steve Dai , Cunxi Yu , Kalyan Krishnamani , Brucek Khailany

While forward reasoning (i.e., find the answer given the question) has been explored extensively in recent literature, backward reasoning is relatively unexplored. We examine the backward reasoning capabilities of LLMs on Math Word Problems…

Computation and Language · Computer Science 2024-07-09 Aniruddha Deb , Neeva Oza , Sarthak Singla , Dinesh Khandelwal , Dinesh Garg , Parag Singla

In this article we demonstrate how to solve a variety of problems and puzzles using the built-in SAT solver of the computer algebra system Maple. Once the problems have been encoded into Boolean logic, solutions can be found (or shown to…

Artificial Intelligence · Computer Science 2020-03-17 Curtis Bright , Jürgen Gerhard , Ilias Kotsireas , Vijay Ganesh

Surprise Adequacy (SA) is one of the emerging and most promising adequacy criteria for Deep Learning (DL) testing. As an adequacy criterion, it has been used to assess the strength of DL test suites. In addition, it has also been used to…

Machine Learning · Computer Science 2021-03-11 Michael Weiss , Rwiddhi Chakraborty , Paolo Tonella

Functional verification constitutes one of the most challenging tasks in the development of modern hardware systems, and simulation-based verification techniques dominate the functional verification landscape. A dominant paradigm in…

Logic in Computer Science · Computer Science 2013-04-08 Supratik Chakraborty , Kuldeep S. Meel , Moshe Y. Vardi