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Related papers: SAT-Based Methods for Circuit Synthesis

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Finding exact circuit size is a notorious optimization problem in practice. Whereas modern computers and algorithmic techniques allow to find a circuit of size seven in blink of an eye, it may take more than a week to search for a circuit…

Artificial Intelligence · Computer Science 2022-04-28 Alexander S. Kulikov , Danila Pechenev , Nikita Slezkin

Optimizing the size and depth of CNOT circuits is an active area of research in quantum computing and is particularly relevant for circuits synthesized from the Clifford + T universal gate set. Although many techniques exist for finding…

Quantum Physics · Physics 2025-07-15 Alan Bu , Evan Fan , Robert Sanghyeon Joo

Recently much attention has been paid to quantum circuit design to prepare for the future "quantum computation era." Like the conventional logic synthesis, it should be important to verify and analyze the functionalities of generated…

Quantum Physics · Physics 2015-05-13 Shigeru Yamashita , Shin-ichi Minato , D. Michael Miller

Circuit Satisfiability (CSAT) plays a pivotal role in Electronic Design Automation. The standard workflow for solving CSAT problems converts circuits into Conjunctive Normal Form (CNF) and employs generic SAT solvers powered by…

Artificial Intelligence · Computer Science 2025-08-07 Jiaying Zhu , Ziyang Zheng , Zhengyuan Shi , Yalun Cai , Qiang Xu

Control Lyapunov functions (CLFs) and control barrier functions (CBFs) are widely used tools for synthesizing controllers subject to stability and safety constraints. Paired with online optimization, they provide stabilizing control actions…

Robotics · Computer Science 2022-10-04 Hongkai Dai , Frank Permenter

Efficiently implementing Clifford circuits is crucial for quantum error correction and quantum algorithms. Linear reversible circuits, equivalent to circuits composed of CNOT gates, have important applications in classical computing. In…

Quantum Physics · Physics 2025-03-20 Mark Webster , Stergios Koutsioumpas , Dan E Browne

This paper deals with fractional-order controllers. We outline mathematical description of fractional controllers and methods of their synthesis and application. Synthesis method is a modified root locus method for fractional-order systems…

Optimization and Control · Mathematics 2007-05-23 I. Petras

The problem of LTLf reactive synthesis is to build a transducer, whose output is based on a history of inputs, such that, for every infinite sequence of inputs, the conjoint evolution of the inputs and outputs has a prefix that satisfies a…

Formal Languages and Automata Theory · Computer Science 2025-07-04 Alexandre Duret-Lutz , Shufang Zhu , Nir Piterman , Giuseppe de Giacomo , Moshe Y Vardi

We provide a simple framework for the synthesis of quantum circuits based on a numerical optimization algorithm. This algorithm is used in the context of the trapped-ions technology. We derive theoretical lower bounds for the number of…

Emerging Technologies · Computer Science 2020-04-17 Timothée Goubault de Brugière , Marc Baboulin , Benoît Valiron , Cyril Allouche

Many Embedded Systems are indeed Software Based Control Systems (SBCSs), that is control systems whose controller consists of control software running on a microcontroller device. This motivates investigation on Formal Model Based Design…

Systems and Control · Computer Science 2012-06-21 Federico Mari , Igor Melatti , Ivano Salvo , Enrico Tronci

We consider the task of program synthesis in the presence of a reward function over the output of programs, where the goal is to find programs with maximal rewards. We employ an iterative optimization scheme, where we train an RNN on a…

Artificial Intelligence · Computer Science 2018-03-28 Daniel A. Abolafia , Mohammad Norouzi , Jonathan Shen , Rui Zhao , Quoc V. Le

Most algorithms for the synthesis of reactive systems focus on the construction of finite-state machines rather than actual programs. This often leads to badly structured, unreadable code. In this paper, we present a bounded synthesis…

Formal Languages and Automata Theory · Computer Science 2018-07-25 Carsten Gerstacker , Felix Klein , Bernd Finkbeiner

We revisit the long-neglected problem of sequential circuit constructions from regular expressions. The class of languages that are recognized by sequential circuits is equivalent to the class of regular languages. This fact is shown in [5]…

Formal Languages and Automata Theory · Computer Science 2018-01-30 Dogan Ulus

How to implement quantum oracle with limited resources raises concerns these days. We design two ancilla-adjustable and efficient algorithms to synthesize SAT-oracle, the key component in solving SAT problems. The previous work takes 2m-1…

Quantum Physics · Physics 2022-06-10 Shuai Yang , Wei Zi , Bujiao Wu , Cheng Guo , Jialin Zhang , Xiaoming Sun

Logic synthesis, a critical stage in electronic design automation (EDA), optimizes gate-level circuits to minimize power consumption and area occupancy in integrated circuits (ICs). Traditional logic synthesis tools rely on human-designed…

Machine Learning · Computer Science 2025-07-21 Haoyuan Wu , Haisheng Zheng , Shoubo Hu , Zhuolun He , Bei Yu

Scalability issues may prevent users from verifying critical properties of a complex hardware design. In this situation, we propose to synthesize a "safety shield" that is attached to the design to enforce the properties at run time. Shield…

Logic in Computer Science · Computer Science 2015-01-19 Roderick Bloem , Bettina Koenighofer , Robert Koenighofer , Chao Wang

System Level Synthesis (SLS) allows us to construct internally stabilizing controllers for large-scale systems. However, solving large-scale SLS problems is computationally expensive and the state-of-the-art methods consider only state…

Optimization and Control · Mathematics 2022-06-07 Lauren Conger , Shih-Hao Tseng

Learning-based methods have gained popularity for training candidate Control Barrier Functions (CBFs) to satisfy the CBF conditions on a finite set of sampled states. However, since the CBF is unknown a priori, it is unclear which sampled…

Optimization and Control · Mathematics 2025-06-17 Erfan Shakhesi , Alexander Katriniok , W. P. M. H. Heemels

While a couple of impressive quantum technologies have been proposed, they have several intrinsic limitations which must be considered by circuit designers to produce realizable circuits. Limited interaction distance between gate qubits is…

Quantum Physics · Physics 2012-09-06 Mehdi Saeedi , Robert Wille , Rolf Drechsler

Program synthesis is the task of automatically constructing a program conforming to a given specification. In this paper we focus on synthesis of single-invocation recursion-free functions conforming to a specification given as a logical…

Logic in Computer Science · Computer Science 2025-08-19 Petra Hozzová , Nikolaj Bjørner