Concept

Recursion (computer science)

Related publications (120)

Deductive Synthesis and Repair

In this thesis, we explore techniques for the development of recursive functional programs over unbounded domains that are proved correct according to their high-level specifications. We present algorithms for automatically synthesizing executable code, st ...

EPFL2016

The Essence of Dependent Object Types

Martin Odersky, Tiark Rompf, Nada Amin, Sandro Stucki, Karl Samuel Grütter

Focusing on path-dependent types, the paper develops foundations for Scala from first principles. Starting from a simple calculus D-

Springer International Publishing2016

Function Passing: A Model for Typed, Distributed Functional Programming

Philipp Haller, Jocelyn Boullier

The most successful systems for “big data” processing have all adopted functional APIs. We present a new programming model we call function passing designed to provide a more principled substrate on which to build data-centric distributed systems. A key id ...

Assoc Computing Machinery2016

Dependent Object Types

Nada Amin

A scalable programming language is one in which the same concepts can describe small as well as large parts. Towards this goal, Scala unifies concepts from object and module systems. In particular, objects can contain type members, which can be selected as ...

EPFL2016

Verifying Resource Bounds of Programs with Lazy Evaluation and Memoization

Viktor Kuncak, Ravichandhran Kandhadai Madhavan, Sumith Kulal

We present a new approach for specifying and verifying resource utilization of higher-order functional programs that use lazy eval- uation and memoization. In our approach, users can specify the desired resource bound as templates with numerical holes e.g. ...

2016

A Composition Theorem for Conical Juntas

Mika Tapani Göös

We describe a general method of proving degree lower bounds for conical juntas (nonnegative combinations of conjunctions) that compute recursively defined boolean functions. Such lower bounds are known to carry over to communication complexity. We give two ...

Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany2016

Developing Verified Software Using Leon

Viktor Kuncak

We present Leon, a system for developing functional Scala programs annotated with contracts. Contracts in Leon can themselves refer to recursively defined functions. Leon aims to find counterexamples when functions do not meet the specifications, and proof ...

Springer-Verlag Berlin2015

On Counter-Example Complete Verification for Higher-Order Functions

Viktor Kuncak, Etienne Kneuss, Nicolas Charles Yves Voirol

We present a verification procedure for pure higher-order functional Scala programs with parametric types. We show that our procedure is sound for proofs, as well as sound and complete for counter-examples. The procedure reduces the analysis of higher-orde ...

2015

Dynamic Sparse State Estimation Using ℓ1-ℓ1 Minimization: Adaptive-rate Measurement Bounds, Algorithms and Applications

Volkan Cevher

We propose a recursive algorithm for estimating time-varying signals from a few linear measurements. The signals are assumed sparse, with unknown support, and are described by a dynamical model. In each iteration, the algorithm solves an ℓ1-ℓ1 minimization ...

2015

On Deductive Program Repair in Leon

Viktor Kuncak, Etienne Kneuss

We present an approach to program repair and its application to programs with recursive functions over unbounded data types. Our approach formulates program repair in the framework of deductive synthesis that uses existing program structure as a hint to gu ...

2015

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