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This paper is concerned with the complexity analysis of constructor term rewrite systems and its ramification in implicit computational complexity. We introduce a path order with multiset status, the polynomial path order POP*, that is…

Logic in Computer Science · Computer Science 2015-07-01 Martin Avanzini , Georg Moser

The authors' ATR programming formalism is a version of call-by-value PCF under a complexity-theoretically motivated type system. ATR programs run in type-2 polynomial-time and all standard type-2 basic feasible functionals are ATR-definable…

Logic in Computer Science · Computer Science 2008-04-18 Norman Danner , James S. Royer

This paper presents a new static analysis for deriving upper bounds on the expected resource consumption of probabilistic programs. The analysis is fully automatic and derives symbolic bounds that are multivariate polynomials of the inputs.…

Programming Languages · Computer Science 2017-11-27 Van Chan Ngo , Quentin Carbonneaux , Jan Hoffmann

We introduce type annotations as a flexible typing mechanism for graph systems and discuss their advantages with respect to classical typing based on graph morphisms. In this approach the type system is incorporated with the graph and…

Software Engineering · Computer Science 2016-12-07 Paolo Bottoni , Andrew Fish , Francesco Parisi Presicce

Algorithms for learning database queries from examples and unique characterisations of queries by examples are prominent starting points for developing automated support for query construction and explanation. We investigate how far recent…

Artificial Intelligence · Computer Science 2024-07-30 Jean Christoph Jung , Vladislav Ryzhikov , Frank Wolter , Michael Zakharyaschev

We model collapsible and ordered pushdown systems with term rewriting, by encoding higher-order stacks and multiple stacks into trees. We show a uniform inverse preservation of recognizability result for the resulting class of term…

Formal Languages and Automata Theory · Computer Science 2014-10-16 Lorenzo Clemente

In this paper, we introduce a novel interpreting framework that learns an interpretable model based on an ontology-based sampling technique to explain agnostic prediction models. Different from existing approaches, our algorithm considers…

Machine Learning · Computer Science 2020-04-02 Phung Lai , NhatHai Phan , Han Hu , Anuja Badeti , David Newman , Dejing Dou

We develop a rounding method based on random walks in polytopes, which leads to improved approximation algorithms and integrality gaps for several assignment problems that arise in resource allocation and scheduling. In particular, it…

Data Structures and Algorithms · Computer Science 2017-12-19 Barna Saha , Aravind Srinivasan

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

While there exist several successful techniques for supporting programmers in deriving static resource bounds for sequential code, analyzing the resource usage of message-passing concurrent processes poses additional challenges. To meet…

Programming Languages · Computer Science 2018-04-30 Ankush Das , Jan Hoffmann , Frank Pfenning

We extend the semantics and type system of a lambda calculus equipped with common constructs to be "resource-aware". That is, the semantics keeps track of the usage of resources, and is stuck, besides in case of type errors, if either a…

Programming Languages · Computer Science 2026-03-24 Riccardo Bianchini , Francesco Dagnino , Paola Giannini , Elena Zucca

In this paper we consider multiple constrained resource allocation problems, where the constraints can be specified by formulating activity dependency restrictions or by using game-theoretic models. All the problems are focused on generic…

Data Structures and Algorithms · Computer Science 2009-06-19 Mugurel Ionut Andreica , Madalina Ecaterina Andreica , Costel Visan

Type systems provide software developers immediate feedback about a subset of correctness properties of their programs. IDE integrations often take advantage of type systems to present errors, suggest completions and even improve…

Programming Languages · Computer Science 2022-07-14 Alcides Fonseca , Guilherme Espada

An efficient evaluation method is described for polynomials in finite fields. Its complexity is shown to be lower than that of standard techniques when the degree of the polynomial is large enough. Applications to the syndrome computation…

Information Theory · Computer Science 2011-12-08 Michele Elia , Joachim Rosenthal , Davide Schipani

We improve and refine a method for certifying that the values' sizes computed by an imperative program will be bounded by polynomials in the program's inputs' sizes. Our work ''tames'' the non-determinism of the original analysis, and…

Logic in Computer Science · Computer Science 2021-07-05 Clément Aubert , Thomas Rubiano , Neea Rusch , Thomas Seiller

Rule-based machine translation is a machine translation paradigm where linguistic knowledge is encoded by an expert in the form of rules that translate text from source to target language. While this approach grants extensive control over…

Computation and Language · Computer Science 2020-09-29 Daniel Torregrosa , Nivranshu Pasricha , Maraim Masoud , Bharathi Raja Chakravarthi , Juan Alonso , Noe Casas , Mihael Arcan

I provide a novel approach to characterizing the set of interim realizable allocations, in the spirit of Matthews (1984) and Border (1991). The approach allows me to identify precisely why exact characterizations are difficult to obtain in…

Theoretical Economics · Economics 2022-10-11 Quitzé Valenzuela-Stookey

In this paper, we ask if it is possible to increase the interpretability in multivariate analysis by aligning and projecting covariates onto comparative subspaces. We demonstrate our method as well as the interpretative power of PLS…

Quantitative Methods · Quantitative Biology 2021-03-18 Edward Tjörnhammar , Richard Tjörnhammar

We study the problem of learning exploration-exploitation strategies that effectively adapt to dynamic environments, where the task may change over time. While RNN-based policies could in principle represent such strategies, in practice…

In a previous paper, the sup-interpretation method was proposed as a new tool to control memory resources of first order functional programs with pattern matching by static analysis. Basically, a sup-interpretation provides an upper bound…

Computational Complexity · Computer Science 2007-05-23 Jean-Yves Marion , Romain Pechoux