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We propose a method for automatically generating abstract transformers for static analysis by abstract interpretation. The method focuses on linear constraints on programs operating on rational, real or floating-point variables and…

Programming Languages · Computer Science 2010-07-28 David Monniaux

In previous work, we presented a symbolic execution method which starts with a concrete model of the program but progressively abstracts away details only when these are known to be irrelevant using interpolation. In this paper, we extend…

Programming Languages · Computer Science 2011-03-11 Joxan Jaffar , Jorge A. Navas , Andrew E. Santosa

When we want to compute the probability of a query from a Probabilistic Answer Set Program, some parts of a program may not influence the probability of a query, but they impact on the size of the grounding. Identifying and removing them is…

Artificial Intelligence · Computer Science 2025-01-22 Damiano Azzolini , Fabrizio Riguzzi

We propose a novel method for inferring refinement types of higher-order functional programs. The main advantage of the proposed method is that it can infer maximally preferred (i.e., Pareto optimal) refinement types with respect to a…

Programming Languages · Computer Science 2015-05-19 Kodai Hashimoto , Hiroshi Unno

Real-world text classification tasks often require many labeled training examples that are expensive to obtain. Recent advancements in machine teaching, specifically the data programming paradigm, facilitate the creation of training data…

Machine Learning · Computer Science 2020-02-05 Neil Mallinar , Abhishek Shah , Tin Kam Ho , Rajendra Ugrani , Ayush Gupta

In this paper, we leverage low-level compiler intermediate representations (IR) to improve code translation. Traditional transpilers rely on syntactic information and handcrafted rules, which limits their applicability and produces…

Programming Languages · Computer Science 2023-04-25 Marc Szafraniec , Baptiste Roziere , Hugh Leather , Francois Charton , Patrick Labatut , Gabriel Synnaeve

One of the obstacles in automatic program proving is to obtain suitable loop invariants. The invariant of a loop is a weakened form of its postcondition (the loop's goal, also known as its contract); the present work takes advantage of this…

Software Engineering · Computer Science 2013-08-14 Carlo A. Furia , Bertrand Meyer

Computational models of human language often involve combinatorial problems. For instance, a probabilistic parser may marginalize over exponentially many trees to make predictions. Algorithms for such problems often employ dynamic…

Computation and Language · Computer Science 2021-09-16 Tim Vieira , Ryan Cotterell , Jason Eisner

When designing an algorithm, one cares about arithmetic/computational complexity, but data movement (I/O) complexity plays an increasingly important role that highly impacts performance and energy consumption. For a given algorithm and a…

Computational Complexity · Computer Science 2024-04-26 Lionel Eyraud-Dubois , Guillaume Iooss , Julien Langou , Fabrice Rastello

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

Run-times of quantum algorithms are often studied via an asymptotic, worst-case analysis. Whilst useful, such a comparison can often fall short: it is not uncommon for algorithms with a large worst-case run-time to end up performing well on…

Quantum Physics · Physics 2023-10-11 Chris Cade , Marten Folkertsma , Ido Niesen , Jordi Weggemans

We propose a new formal language for the expressive representation of probabilistic knowledge based on Answer Set Programming (ASP). It allows for the annotation of first-order formulas as well as ASP rules and facts with probabilities and…

Artificial Intelligence · Computer Science 2014-05-06 Matthias Nickles , Alessandra Mileo

Invariant inference algorithms such as interpolation-based inference and IC3/PDR show that it is feasible, in practice, to find inductive invariants for many interesting systems, but non-trivial upper bounds on the computational complexity…

Programming Languages · Computer Science 2022-08-17 Yotam M. Y. Feldman , Sharon Shoham

Predictive models are fundamental to engineering reliable software systems. However, designing conservative, computable approximations for the behavior of programs (static analyses) remains a difficult and error-prone process for modern…

Programming Languages · Computer Science 2011-05-10 David Van Horn , Matthew Might

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

Classically, a control loop is designed to be executed strictly periodically. This is, however, difficult to achieve in many scenarios, for example, when overload or packet loss cannot be entirely avoided. Here, weakly-hard real-time…

Systems and Control · Electrical Eng. & Systems 2020-06-25 Maximilian Gaukler , Tim Rheinfels , Peter Ulbrich , Günter Roppenecker

This paper establishes problem-specific sample complexity lower bounds for linear system identification problems. The sample complexity is defined in the PAC framework: it corresponds to the time it takes to identify the system parameters…

Systems and Control · Computer Science 2019-03-26 Yassir Jedra , Alexandre Proutiere

Much algorithmic research in NLP aims to efficiently manipulate rich formal structures. An algorithm designer typically seeks to provide guarantees about their proposed algorithm -- for example, that its running time or space complexity is…

Programming Languages · Computer Science 2025-12-30 Tim Vieira , Ryan Cotterell , Jason Eisner

Probabilistic programming languages are valuable because they allow domain experts to express probabilistic models and inference algorithms without worrying about irrelevant details. However, for decades there remained an important and…

Programming Languages · Computer Science 2019-07-03 Rajan Walia , Praveen Narayanan , Jacques Carette , Sam Tobin-Hochstadt , Chung-chieh Shan

Inductive logic programming (ILP) is a form of logical machine learning. The goal is to search a hypothesis space for a hypothesis that generalises training examples and background knowledge. We introduce an approach that 'shrinks' the…

Artificial Intelligence · Computer Science 2026-05-18 Andrew Cropper , Filipe Gouveia , David M. Cerna