Publications related to General recursive function

Efficient Sequential and Parallel Algorithms for Multistage Stochastic Integer Programming Using Proximity

Friedrich Eisenbrand, Moritz Andreas Venzin, Jana Tabea Cslovjecsek

We consider the problem of solving integer programs of the form min {c^⊺ x : Ax = b, x ∈ ℤ_{⩾ 0}}, where A is a multistage stochastic matrix in the following sense: the primal treedepth of A is bounded by a parameter d, which means that the columns of A ca ...

Schloss Dagstuhl - Leibniz-Zentrum für Informatik2021

Computation Of A 30750-Bit Binary Field Discrete Logarithm

Arjen Lenstra, Robert Granger, Thorsten Kleinjung, Benjamin Pierre Charles Wesolowski

This paper reports on the computation of a discrete logarithm in the finite field F-230750, breaking by a large margin the previous record, which was set in January 2014 by a computation in F-29234. The present computation made essential use of the elimina ...

AMER MATHEMATICAL SOC2021

A finite element framework based on bivariate simplex splines on triangle configurations

Xiaodong Wei, Juan Cao

Recently, triangle configuration based bivariate simplex splines (referred to as TCB-spline) have been introduced to the geometric computing community. TCB-splines retain many attractive theoretic properties of classical B-splines, such as partition of uni ...

ELSEVIER SCIENCE SA2019

A Hybrid Method for Spectral Translation Equivalent Boolean Functions

Giovanni De Micheli, Mathias Soeken, Eleonora Testa

The equivalence of Boolean functions with respect to five invariance (aka translation) operations has been well considered with respect to the Rademacher-Walsh spectral domain. In this paper, we introduce a hybrid approach that uses both the Reed-Muller an ...

IEEE2019

Termination of Open Higher-Order Programs

Viktor Kuncak, Nicolas Charles Yves Voirol, Ravichandhran Kandhadai Madhavan

We study the problem of proving termination of open, higher-order programs with recursive functions and datatypes. We identify a new point in the design space of solutions, with an appealing trade-off between simplicity of specification, modularity, and am ...

2017

Algorithmic Resource Verification

Ravichandhran Kandhadai Madhavan

Static estimation of resource utilisation of programs is a challenging and important problem with numerous applications. In this thesis, I present new algorithms that enable users to specify and verify their desired bounds on resource usage of functional p ...

EPFL2017

Proactive Synthesis of Recursive Tree-to-String Functions from Examples

Viktor Kuncak, Mikaël Mayer, Jad Hamza

Synthesis from examples enables non-expert users to generate programs by specifying examples of their behavior. A domain-specific form of such synthesis has been recently deployed in a widely used spreadsheet software product. In this paper we contribute t ...

2017

Automating Verification of Functional Programs with Quantified Invariants

Viktor Kuncak, Nicolas Charles Yves Voirol

We present the foundations of a verifier for higher-order functional programs with generics and recursive algebraic data types. Our ver- ifier supports finding sound proofs and counterexamples even in the presence of certain quantified invariants and recur ...

2016

A Decision Procedure for Regular Membership and Length Constraints over Unbounded Strings

Andrew Joseph Reynolds

We prove that the quantifier-free fragment of the theory of character strings with regular language membership constraints and linear integer constraints over string lengths is decidable. We do that by describing a sound, complete and terminating tableaux ...

Springer-Verlag Berlin2015

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General recursive function

Efficient Sequential and Parallel Algorithms for Multistage Stochastic Integer Programming Using Proximity

Computation Of A 30750-Bit Binary Field Discrete Logarithm

A finite element framework based on bivariate simplex splines on triangle configurations

A Hybrid Method for Spectral Translation Equivalent Boolean Functions

Termination of Open Higher-Order Programs

Algorithmic Resource Verification

Proactive Synthesis of Recursive Tree-to-String Functions from Examples

Automating Verification of Functional Programs with Quantified Invariants

Deductive Synthesis and Repair

A Decision Procedure for Regular Membership and Length Constraints over Unbounded Strings

Graph Chatbot

Chat with Graph Search

Computation Of A 30750-Bit Binary Field Discrete Logarithm

A finite element framework based on bivariate simplex splines on triangle configurations

Termination of Open Higher-Order Programs

A Hybrid Method for Spectral Translation Equivalent Boolean Functions

Algorithmic Resource Verification

Efficient Sequential and Parallel Algorithms for Multistage Stochastic Integer Programming Using Proximity

Deductive Synthesis and Repair

Proactive Synthesis of Recursive Tree-to-String Functions from Examples

Automating Verification of Functional Programs with Quantified Invariants

A Decision Procedure for Regular Membership and Length Constraints over Unbounded Strings