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As a supplement to my talk at the workshop, this extended abstract motivates and summarizes my work with co-authors on problems in two separate areas: first, in the lambda-calculus with letrec, a universal model of computation, and second,…

Logic in Computer Science · Computer Science 2024-10-02 Clemens Grabmayer

Term graph rewriting provides a simple mechanism to finitely represent restricted forms of infinitary term rewriting. The correspondence between infinitary term rewriting and term graph rewriting has been studied to some extent. However,…

Logic in Computer Science · Computer Science 2015-07-01 Patrick Bahr

We present two sequences of ensembles of non-systematic irregular repeat-accumulate codes which asymptotically (as their block length tends to infinity) achieve capacity on the binary erasure channel (BEC) with bounded complexity per…

Information Theory · Computer Science 2007-07-13 H. Pfister , I. Sason , R. Urbanke

Termination of programs, i.e., the absence of infinite computations, ensures the existence of normal forms for all initial expressions, thus providing an essential ingredient for the definition of a normalization semantics for functional…

Programming Languages · Computer Science 2015-12-23 Salvador Lucas

This Survey provides an overview of techniques in termination analysis for programs with numerical variables and transitions defined by linear constraints. This subarea of program analysis is challenging due to the existence of undecidable…

Programming Languages · Computer Science 2026-01-27 Amir M. Ben-Amram , Samir Genaim , Joël Ouaknine , James Worrell

A "genome structure" is a labeled directed graph with vertices of degree 1 or 2. A set of operations over such graphs is fixed, and each of the operations has a certain cost, a strictly positive number. The transformation problem consists…

Combinatorics · Mathematics 2020-04-30 K. Yu. Gorbunov , V. A. Lyubetsky

In practice, LDPC codes are decoded using message passing methods. These methods offer good performance but tend to converge slowly and sometimes fail to converge and to decode the desired codewords correctly. Recently, tree-reweighted…

Information Theory · Computer Science 2014-03-05 J. Li , R. C. de Lamare , H. Wymeersch

We address the problem of preserving non-interference across compiler transformations under speculative semantics. We develop a proof method that ensures the preservation uniformly across all source programs. The basis of our proof method…

Programming Languages · Computer Science 2024-11-22 Sören van der Wall , Roland Meyer

We introduce a fully automated static analysis that takes a sequential Java bytecode program P as input and attempts to prove that there exists an infinite execution of P. The technique consists in compiling P into a constraint logic…

Programming Languages · Computer Science 2014-01-22 Étienne Payet , Fred Mesnard , Fausto Spoto

We present a new approach to termination analysis of numerical computations in logic programs. Traditional approaches fail to analyse them due to non well-foundedness of the integers. We present a technique that allows to overcome these…

Programming Languages · Computer Science 2007-05-23 Alexander Serebrenik , Danny De Schreye

Recently, many techniques have been introduced that allow the (automated) classification of the runtime complexity of term rewrite systems (TRSs for short). In earlier work, the authors have shown that for confluent TRSs, innermost…

Computational Complexity · Computer Science 2011-06-09 Martin Avanzini , Georg Moser

Software obfuscation or obscuring a software is an approach to defeat the practice of reverse engineering a software for using its functionality illegally in the development of another software. Java applications are more amenable to…

Cryptography and Security · Computer Science 2009-04-23 Praveen Sivadasan , P Sojan Lal

In this paper we present a combination framework for polynomial complexity analysis of term rewrite systems. The framework covers both derivational and runtime complexity analysis. We present generalisations of powerful complexity…

Computational Complexity · Computer Science 2013-02-06 Martin Avanzini , Georg Moser

In this article, we establish a mathematical framework that utilizes concepts from graph theory to formalize the parity transformation, an encoding strategy for compiling optimization problems on quantum devices. We introduce the…

Quantum Physics · Physics 2026-01-27 Florian Dreier , Wolfgang Lechner

In the domain of Software Engineering, program analysis and understanding has been considered to be a very challenging task since decade, as it demands dedicated time and efforts. The analysis of source code may occasionally be…

Software Engineering · Computer Science 2019-05-01 Safeeullah Soomro , Mohammad Riyaz Belgaum , Zainab Alansari , Mahdi H Miraz

Binary code similarity detection is a core task in reverse engineering. It supports malware analysis and vulnerability discovery by identifying semantically similar code in different contexts. Modern methods have progressed from manually…

Artificial Intelligence · Computer Science 2025-09-30 Charles E. Gagnon , Steven H. H. Ding , Philippe Charland , Benjamin C. M. Fung

Permutation codes are a class of structured vector quantizers with a computationally-simple encoding procedure based on sorting the scalar components. Using a codebook comprising several permutation codes as subcodes preserves the…

Information Theory · Computer Science 2015-03-13 Ha Q. Nguyen , Lav R. Varshney , Vivek K Goyal

Network or graph structures are ubiquitous in the study of complex systems. Often, we are interested in complexity trends of these system as it evolves under some dynamic. An example might be looking at the complexity of a food web as…

Information Theory · Computer Science 2007-07-16 Russell K. Standish

We present a form of algebraic reasoning for computational objects which are expressed as graphs. Edges describe the flow of data between primitive operations which are represented by vertices. These graphs have an interface made of…

Logic in Computer Science · Computer Science 2010-07-23 Lucas Dixon , Ross Duncan , Aleks Kissinger

Conditional term rewriting is an intuitive yet complex extension of term rewriting. In order to benefit from the simpler framework of unconditional rewriting, transformations have been defined to eliminate the conditions of conditional term…

Logic in Computer Science · Computer Science 2017-01-04 Karl Gmeiner