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Program synthesis is an umbrella term for generating programs and logical formulae from specifications. With the remarkable performance improvements that GPUs enable for deep learning, a natural question arose: can we also implement a…

Programming Languages · Computer Science 2025-04-29 Martin Berger , Nathanaël Fijalkow , Mojtaba Valizadeh

This paper presents a novel method for the automated synthesis of probabilistic programs. The starting point is a program sketch representing a finite family of finite-state Markov chains with related but distinct topologies, and a PCTL…

Logic in Computer Science · Computer Science 2021-02-01 Roman Andriushchenko , Milan Ceska , Sebastian Junges , Joost-Pieter Katoen

In this technical report, a new formulation for embedding a neural network into an optimization model is described. This formulation does not require binary variables to properly compute the output of the neural network for specific types…

Optimization and Control · Mathematics 2024-02-06 Héctor G. -de-Alba , Andres Tellez , Cipriano Santos , Emmanuel Gómez

Program synthesis is the process of automatically translating a specification into computer code. Traditional synthesis settings require a formal, precise specification. Motivated by computer education applications where a student learns to…

Artificial Intelligence · Computer Science 2018-06-05 Evan Hernandez , Ara Vartanian , Xiaojin Zhu

We propose a novel approach to understanding the decision making of complex machine learning models (e.g., deep neural networks) using a combination of probably approximately correct learning (PAC) and a logic inference methodology called…

Artificial Intelligence · Computer Science 2020-09-21 Daniel Neider , Bishwamittra Ghosh

Probabilistic logic programs are logic programs in which some of the facts are annotated with probabilities. Several classical probabilistic inference tasks (such as MAP and computing marginals) have not yet received a lot of attention for…

Artificial Intelligence · Computer Science 2012-02-20 Daan Fierens , Guy Van den Broeck , Ingo Thon , Bernd Gutmann , Luc De Raedt

We present a new domain-agnostic synthesis technique for generating programs from input-output examples. Our method, called metric program synthesis, relaxes the well-known observational equivalence idea (used widely in bottom-up…

Programming Languages · Computer Science 2022-10-12 John Feser , Isil Dillig , Armando Solar-Lezama

The integration of neural networks into safety-critical systems has shown great potential in recent years. However, the challenge of effectively verifying the safety of Neural Network Controlled Systems (NNCS) persists. This paper…

Logic in Computer Science · Computer Science 2024-03-28 Yuhao Zhou , Stavros Tripakis

Automatic software generation based on some specification is known as program synthesis. Most existing approaches formulate program synthesis as a search problem with discrete parameters. In this paper, we present a novel formulation of…

Artificial Intelligence · Computer Science 2023-04-04 Shantanu Mandal , Todd A. Anderson , Javier Turek , Justin Gottschlich , Abdullah Muzahid

This paper proposes relational program synthesis, a new problem that concerns synthesizing one or more programs that collectively satisfy a relational specification. As a dual of relational program verification, relational program synthesis…

Programming Languages · Computer Science 2018-09-12 Yuepeng Wang , Xinyu Wang , Isil Dillig

Synthesizing programs using example input/outputs is a classic problem in artificial intelligence. We present a method for solving Programming By Example (PBE) problems by using a neural model to guide the search of a constraint logic…

Machine Learning · Computer Science 2018-10-29 Lisa Zhang , Gregory Rosenblatt , Ethan Fetaya , Renjie Liao , William E. Byrd , Matthew Might , Raquel Urtasun , Richard Zemel

Loop invariants play a central role in the verification of imperative programs. However, finding these invariants is often a difficult and time-consuming task for the programmer. We have previously shown how program transformation can be…

Logic in Computer Science · Computer Science 2017-08-25 G. W. Hamilton

Predictive coding has emerged as an influential normative model of neural computation, with numerous extensions and applications. As such, much effort has been put into mapping PC faithfully onto the cortex, but there are issues that remain…

Neurons and Cognition · Quantitative Biology 2023-03-07 Siavash Golkar , Tiberiu Tesileanu , Yanis Bahroun , Anirvan M. Sengupta , Dmitri B. Chklovskii

Neural networks have proven practical for a synergistic combination of advanced control techniques. This work analyzes the implementation of rectified linear unit neural networks to achieve constrained control in differentially flat…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Huu-Thinh Do , Ionela Prodan , Florin Stoican

We propose a novel approach to program synthesis, focusing on synthesizing database queries. At a high level, our proposed algorithm takes as input a sketch with soft constraints encoding user intent, and then iteratively interacts with the…

Programming Languages · Computer Science 2021-10-12 Osbert Bastani , Xin Zhang , Armando Solar-Lezama

We present realizability and realization logic, two program logics that jointly address the problem of finding solutions in semantics-guided synthesis. What is new is that we proceed eagerly and not only analyze a single candidate program…

Logic in Computer Science · Computer Science 2024-03-12 Roland Meyer , Jakob Tepe , Sebastian Wolff

Neural networks (NNs) are currently changing the computational paradigm on how to combine data with mathematical laws in physics and engineering in a profound way, tackling challenging inverse and ill-posed problems not solvable with…

Machine Learning · Computer Science 2023-02-08 Apostolos F Psaros , Xuhui Meng , Zongren Zou , Ling Guo , George Em Karniadakis

Neural networks functions are supposed to be able to encode the desired solution of an inverse problem very efficiently. In this paper, we consider the problem of solving linear inverse problems with neural network coders. First we…

Functional Analysis · Mathematics 2023-03-27 Otmar Scherzer , Bernd Hofmann , Zuhair Nashed

With the surge of multi- and manycores, much research has focused on algorithms for mapping and scheduling on these complex platforms. Large classes of these algorithms face scalability problems. This is why diverse methods are commonly…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-27 Andrés Goens , Sergio Siccha , Jeronimo Castrillon

While neural networks are good at learning unspecified functions from training samples, they cannot be directly implemented in hardware and are often not interpretable or formally verifiable. On the other hand, logic circuits are…

Machine Learning · Computer Science 2020-06-09 Tobias Brudermueller , Dennis L. Shung , Adrian J. Stanley , Johannes Stegmaier , Smita Krishnaswamy