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The minimization problem for propositional formulas is an important optimization problem in the second level of the polynomial hierarchy. In general, the problem is Sigma-2-complete under Turing reductions, but restricted versions are…

Computational Complexity · Computer Science 2011-04-13 Edith Hemaspaandra , Henning Schnoor

Because loops execute their body many times, compiler developers place much emphasis on their optimization. Nevertheless, in view of highly diverse source code and hardware, compilers still struggle to produce optimal target code. The sheer…

Programming Languages · Computer Science 2021-03-01 Rahim Mammadli , Marija Selakovic , Felix Wolf , Michael Pradel

Classes on compiler technology are commonly found in Computer Science curricula, covering aspects of parsing, semantic analysis, intermediate transformations and target code generation. This paper reports on introducing certified…

Programming Languages · Computer Science 2019-06-28 Per Lindgren , Marcus Lindner , Nils Fitinghoff

In this work we propose and analyze a simple randomized algorithm to find a satisfiable assignment for a Boolean formula in conjunctive normal form (CNF) having at most 3 literals in every clause. Given a k-CNF formula phi on n variables,…

Data Structures and Algorithms · Computer Science 2020-08-11 Subhas Kumar Ghosh , Janardan Misra

The wide adoption of machine learning approaches in the industry, government, medicine and science has renewed the interest in interpretable machine learning: many decisions are too important to be delegated to black-box techniques such as…

Artificial Intelligence · Computer Science 2018-12-06 Dmitry Malioutov , Kuldeep S. Meel

Machine learning has become omnipresent with applications in various safety-critical domains such as medical, law, and transportation. In these domains, high-stake decisions provided by machine learning necessitate researchers to design…

Machine Learning · Computer Science 2022-09-01 Bishwamittra Ghosh , Dmitry Malioutov , Kuldeep S. Meel

Copies have been proposed as a viable alternative to endow machine learning models with properties and features that adapt them to changing needs. A fundamental step of the copying process is generating an unlabelled set of points to…

Machine Learning · Computer Science 2019-10-02 Irene Unceta , Diego Palacios , Jordi Nin , Oriol Pujol

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

In resolving instances of a computational problem, if multiple instances of interest share a feature in common, it may be fruitful to compile this feature into a format that allows for more efficient resolution, even if the compilation is…

Computational Complexity · Computer Science 2015-03-03 Hubie Chen

An optimizing compiler consists of a front end parsing a textual programming language into an intermediate representation (IR), a middle end performing optimizations on the IR, and a back end lowering the IR to a target representation (TR)…

Programming Languages · Computer Science 2011-11-22 Sebastian Buchwald , Edgar Jakumeit

This paper describes a new method for reducing the error in a classifier. It uses an error correction update that includes the very simple rule of either adding or subtracting the error adjustment, based on whether the variable value is…

Artificial Intelligence · Computer Science 2018-03-02 Kieran Greer

Any satisfiability problem in conjunctive normal form can be solved in polynomial time by reducing it to a 3-sat formulation and transforming this to a Linear Complementarity problem (LCP) which is then solved as a linear program (LP). Any…

Computational Complexity · Computer Science 2018-01-31 Giacomo Patrizi

Beginning programmers struggle with the complex grammar of modern programming languages like Java, and make lot of syntax errors. The diagnostic syntax error messages from compilers and IDEs are sometimes useful, but often the messages are…

Software Engineering · Computer Science 2022-10-14 Toufique Ahmed , Noah Rose Ledesma , Premkumar Devanbu

The Boolean satisfiability problem (SAT) can be solved efficiently with variants of the DPLL algorithm. For industrial SAT problems, DPLL with conflict analysis dependent dynamic decision heuristics has proved to be particularly efficient,…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Raihan H. Kibria

CNOT gates are fundamental to quantum computing, as they facilitate entanglement, a crucial resource for quantum algorithms. Certain classes of quantum circuits are constructed exclusively from CNOT gates. Given their widespread use, it is…

Artificial Intelligence · Computer Science 2026-02-24 Riccardo Romanello , Daniele Lizzio Bosco , Jacopo Cossio , Dusan Sutulovic , Giuseppe Serra , Carla Piazza , Paolo Burelli

Given a CNF formula $F$, we present a new algorithm for deciding the satisfiability (SAT) of $F$ and computing all solutions of assignments. The algorithm is based on the concept of \emph{cofactors} known in the literature. This paper is a…

Computational Complexity · Computer Science 2017-05-09 Madhav Desai , Virendra Sule

Until now, Computer Scientists have concerned themselves with identifying efficient algorithms for solving the general case of some problem -- that is finding one which performs well when the size of the input tends to infinity. In this…

Computational Complexity · Computer Science 2026-04-21 Mircea-Adrian Digulescu

The Model-Constructing Satisfiability Calculus (MCSAT) framework has been applied to SMT problems over various arithmetic theories. NLSAT, an implementation using cylindrical algebraic decomposition (CAD) for explanation, is especially…

Symbolic Computation · Computer Science 2025-09-30 Zhonghan Wang

We study a classification problem where each feature can be acquired for a cost and the goal is to optimize a trade-off between the expected classification error and the feature cost. We revisit a former approach that has framed the problem…

Artificial Intelligence · Computer Science 2018-11-13 Jaromír Janisch , Tomáš Pevný , Viliam Lisý

This paper proposes an adaptive neural-compilation framework to address the problem of efficient program learning. Traditional code optimisation strategies used in compilers are based on applying pre-specified set of transformations that…

Artificial Intelligence · Computer Science 2016-05-27 Rudy Bunel , Alban Desmaison , Pushmeet Kohli , Philip H. S. Torr , M. Pawan Kumar