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We propose a general technique for improving alternating optimization (AO) of nonconvex functions. Starting from the solution given by AO, we conduct another sequence of searches over subspaces that are both meaningful to the optimization…

Computation · Statistics 2014-12-16 W. James Murdoch , Mu Zhu

Functional programming languages are particularly well-suited for building automated reasoning systems, since (among other reasons) a logical term is well modeled by an inductive type, traversing a term can be implemented generically as a…

Programming Languages · Computer Science 2020-06-02 Daniel Selsam , Simon Hudon , Leonardo de Moura

For engineering software with formal correctness proofs it is crucial that proofs can be efficiently reused in case the software or its specification is changed. Unfortunately, in reality even slight changes in the code or its specification…

Software Engineering · Computer Science 2015-01-20 Maria Pelevina

In many real-world applications, we are interested in approximating black-box, costly functions as accurately as possible with the smallest number of function evaluations. A complex computer code is an example of such a function. In this…

Computation · Statistics 2022-03-22 Hossein Mohammadi , Peter Challenor , Daniel Williamson , Marc Goodfellow

We study regular expressions that use variables, or parameters, which are interpreted as alphabet letters. We consider two classes of languages denoted by such expressions: under the possibility semantics, a word belongs to the language if…

Formal Languages and Automata Theory · Computer Science 2015-03-19 Pablo Barceló , Leonid Libkin , Juan Reutter

We propose an operationally-based deductive proof method for program equivalence. It is based on encoding the language semantics as logically constrained term rewriting systems (LCTRSs) and the two programs as terms. The main feature of our…

Logic in Computer Science · Computer Science 2020-01-28 Ştefan Ciobâcă , Dorel Lucanu , Andrei Sebastian Buruiană

The unification algorithm has long been a target for program synthesis research, but a fully automatic derivation remains a research goal. In deductive program synthesis, computer programming is phrased as a task in theorem proving; a…

Logic in Computer Science · Computer Science 2025-09-16 Richard Waldinger

We present a new method for inferring complexity properties for a class of programs in the form of flowcharts annotated with loop information. Specifically, our method can (soundly and completely) decide if computed values are polynomially…

Programming Languages · Computer Science 2016-07-11 Amir M. Ben-Amram , Aviad Pineles

Formal techniques have been shown to be useful in the development of correct software. But the level of expertise required of practitioners of these techniques prohibits their widespread adoption. Formal techniques need to be tailored to…

Software Engineering · Computer Science 2007-05-23 William Heaven , Alessandra Russo

The theory of asymptotic complexity provides an approach to characterizing the behavior of programs in terms of bounds on the number of computational steps executed or use of computational resources. We describe work using ACL2 to prove…

Computational Complexity · Computer Science 2022-05-25 William D. Young

Implementing a complex concept as an executable model in a strongly typed, purely functional language hits a sweet spot between mere simulation and formal specification. For research and education it is often desirable to enrich the…

Programming Languages · Computer Science 2020-08-31 Baltasar Trancón y Widemann , Markus Lepper

The co-sparse analysis model for signals assumes that the signal of interest can be multiplied by an analysis dictionary \Omega, leading to a sparse outcome. This model stands as an interesting alternative to the more classical synthesis…

Information Theory · Computer Science 2012-03-14 Tomer Peleg , Michael Elad

Oversampled adaptive sensing (OAS) is a Bayesian framework recently proposed for effective sensing of structured signals in a time-limited setting. In contrast to the conventional blind oversampling, OAS uses the prior information on the…

Information Theory · Computer Science 2021-03-01 Ali Bereyhi , Saba Asaad , Ralf R. Müller

We consider two characterisations of the may and must testing preorders for a probabilistic extension of the finite pi-calculus: one based on notions of probabilistic weak simulations, and the other on a probabilistic extension of a…

Logic in Computer Science · Computer Science 2012-01-12 Yuxing Deng , Alwen Tiu

Almost all modern imperative programming languages include operations for dynamically manipulating the heap, for example by allocating and deallocating objects, and by updating reference fields. In the presence of recursive procedures and…

Programming Languages · Computer Science 2012-12-18 Jurriaan Rot , Irina Măriuca Asăvoae , Frank de Boer , Marcello M. Bonsangue , Dorel Lucanu

Existing formalisms for the algebraic specification and representation of networks of reversible agents suffer some shortcomings. Despite multiple attempts, reversible declensions of the Calculus of Communicating Systems (CCS) do not offer…

Logic in Computer Science · Computer Science 2021-03-30 Clément Aubert , Doriana Medić

Indexed languages are a classical notion in formal language theory, which has attracted attention in recent decades due to its role in higher-order model checking: They are precisely the languages accepted by order-2 pushdown automata. The…

Formal Languages and Automata Theory · Computer Science 2026-05-28 Richard Mandel , Corto Mascle , Georg Zetzsche

Motivated by algorithmic information theory, the problem of program discovery can help find candidates of underlying generative mechanisms of natural and artificial phenomena. The uncomputability of such inverse problem, however,…

Information Theory · Computer Science 2021-12-29 Vladimir Lemusa , Eduardo Acuña , Víctor Zamora , Francisco Hernandez-Quiroz , Hector Zenil

Probabilistic program analysis aims to quantify the probability that a given program satisfies a required property. It has many potential applications, from program understanding and debugging to computing program reliability, compiler…

Programming Languages · Computer Science 2017-09-08 Aleksandar S. Dimovski

Many algorithmic steps require more than one statement to implement, but not big enough to be a method (e.g., add element, find the maximum, determine a value, etc.). These steps are generally implemented by loops. Internal comments for the…

Software Engineering · Computer Science 2019-04-02 Preetha Chatterjee