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Quantifying the complexity of systems consisting of many interacting parts has been an important challenge in the field of complex systems in both abstract and applied contexts. One approach, the complexity profile, is a measure of the…

Pattern Formation and Solitons · Physics 2013-06-03 Yavni Bar-Yam , Dion Harmon , Yaneer Bar-Yam

We introduce a modified version of the well-known dependency pair framework that is suitable for the termination analysis of rewriting under forbidden pattern restrictions. By attaching contexts to dependency pairs that represent the…

Logic in Computer Science · Computer Science 2010-12-30 Bernhard Gramlich , Felix Schernhammer

The static dependency pair method is a method for proving the termination of higher-order rewrite systems a la Nipkow. It combines the dependency pair method introduced for first-order rewrite systems with the notion of strong computability…

Logic in Computer Science · Computer Science 2011-09-21 Sho Suzuki , Keiichirou Kusakari , Frédéric Blanqui

Recently, the well-known dependency pair (DP) framework was adapted to a dependency tuple framework in order to prove almost-sure innermost termination (iAST) of probabilistic term rewrite systems. While this approach was incomplete, in…

Logic in Computer Science · Computer Science 2024-03-01 Jan-Christoph Kassing , Stefan Dollase , Jürgen Giesl

Rewriting is a framework for reasoning about functional programming. The dependency pair criterion is a well-known mechanism to analyze termination of term rewriting systems. Functional specifications with an operational semantics based on…

Logic in Computer Science · Computer Science 2019-11-04 Ariane Alves Almeida , Mauricio Ayala-Rincon

We study the problem of automatically computing the time complexity of concurrent object-oriented programs. To determine this complexity we use intermediate abstract descriptions that record relevant information for the time analysis (cost…

Programming Languages · Computer Science 2015-11-17 Elena Giachino , Einar Broch Johnsen , Cosimo Laneve , Ka I Pun

We describe an automated method for identifying classes of morphologically related words in an on-line dictionary, and for linking individual senses in the derived form to one or more senses in the base form by means of morphological…

cmp-lg · Computer Science 2008-02-03 Joseph Pentheroudakis , Lucy Vanderwende , Microsoft Corporation

In earlier work, we developed a modular approach for automatic complexity analysis of integer programs. However, these integer programs do not allow non-tail recursive calls or subprocedures. In this paper, we consider integer programs with…

Logic in Computer Science · Computer Science 2026-01-07 Nils Lommen , Jürgen Giesl

In earlier work, we developed an approach for automatic complexity analysis of integer programs, based on an alternating modular inference of upper runtime and size bounds for program parts. In this paper, we show how recent techniques to…

Logic in Computer Science · Computer Science 2022-06-03 Jürgen Giesl , Nils Lommen , Marcel Hark , Fabian Meyer

In this paper, we investigate the parameterized complexity of model checking for Dependence Logic which is a well studied logic in the area of Team Semantics. We start with a list of nine immediate parameterizations for this problem,…

Logic in Computer Science · Computer Science 2021-09-21 Juha Kontinen , Arne Meier , Yasir Mahmood

Term rewriting plays a crucial role in software verification and compiler optimization. With dozens of highly parameterizable techniques developed to prove various system properties, automatic term rewriting tools work in an extensive…

Logic in Computer Science · Computer Science 2025-08-01 Liao Zhang , Fabian Mitterwallner , Jan Jakubuv , Cezary Kaliszyk

We revisit parallel-innermost term rewriting as a model of parallel computation on inductive data structures and provide a corresponding notion of runtime complexity parametric in the size of the start term. We propose automatic techniques…

Logic in Computer Science · Computer Science 2022-08-02 Thaïs Baudon , Carsten Fuhs , Laure Gonnord

Implicitly parallel task-based runtime systems often perform dynamic analysis to discover dependencies in and extract parallelism from sequential programs. Dependence analysis becomes expensive as task granularity drops below a threshold.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-17 Rohan Yadav , Michael Bauer , David Broman , Michael Garland , Alex Aiken , Fredrik Kjolstad

Higher-order rewrite systems (HRSs) and simply-typed term rewriting systems (STRSs) are computational models of functional programs. We recently proposed an extremely powerful method, the static dependency pair method, which is based on the…

Logic in Computer Science · Computer Science 2011-09-27 Keiichirou Kusakari , Yasuo Isogai , Masahiko Sakai , Frédéric Blanqui

This paper introduces a new methodology for the complexity analysis of higher-order functional programs, which is based on three components: a powerful type system for size analysis and a sound type inference procedure for it, a ticking…

Logic in Computer Science · Computer Science 2017-04-20 Martin Avanzini , Ugo Dal Lago

We present a technique for automatically generating features for data-driven program analyses. Recently data-driven approaches for building a program analysis have been proposed, which mine existing codebases and automatically learn…

Programming Languages · Computer Science 2017-01-02 Kwonsoo Chae , Hakjoo Oh , Kihong Heo , Hongseok Yang

This paper introduces a new methodology for the complexity analysis of higher-order functional programs, which is based on three ingredients: a powerful type system for size analysis and a sound type inference procedure for it, a ticking…

Logic in Computer Science · Computer Science 2017-06-29 Martin Avanzini , Ugo Dal Lago

Dependency analysis is a technique to identify and determine data dependencies between service protocols. Protocols evolving concurrently in the service composition need to impose an order in their execution if there exist data…

Software Engineering · Computer Science 2010-07-30 Javier Cubo , Ernesto Pimentel , Gwen Salaün , Carlos Canal

Pointer analysis is a fundamental static program analysis for computing the set of objects that an expression can refer to. Decades of research has gone into developing methods of varying precision and efficiency for pointer analysis for…

Programming Languages · Computer Science 2021-10-07 K. Tuncay Tekle , Yanhong A. Liu

We study the termination problem for probabilistic term rewrite systems. We prove that the interpretation method is sound and complete for a strengthening of positive almost sure termination, when abstract reduction systems and term rewrite…

Symbolic Computation · Computer Science 2018-02-28 Martin Avanzini , Ugo Dal Lago , Akihisa Yamada