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The Size-Change Termination principle was first introduced to study the termination of first-order functional programs. In this work, we show that it can also be used to study the termination of higher-order rewriting in a system of…

Logic in Computer Science · Computer Science 2018-12-06 Frédéric Blanqui , Guillaume Genestier

Building on prior work on distributed databases and the CALM Theorem, we define and study the question of free termination: in the absence of distributed coordination, what query properties allow nodes in a distributed (database) system to…

Databases · Computer Science 2025-02-04 Conor Power , Paraschos Koutris , Joseph M Hellerstein

There are enormous amount of examples of Computation in nature, exemplified across multiple species in biology. One crucial aim for these computations across all life forms their ability to learn and thereby increase the chance of their…

Machine Learning · Computer Science 2013-12-30 Nabarun Mondal , Partha P. Ghosh

The classical technique for proving termination of a generic sequential computer program involves the synthesis of a ranking function for each loop of the program. Linear ranking functions are particularly interesting because many…

Programming Languages · Computer Science 2012-04-03 Roberto Bagnara , Fred Mesnard , Andrea Pescetti , Enea Zaffanella

We define the syntax and reduction relation of a recursively typed lambda calculus with a parallel case-function (a parallel conditional). The reduction is shown to be confluent. We interpret the recursive types as information systems in a…

Logic in Computer Science · Computer Science 2008-06-12 Fritz Müller

A 'process theory' is any theory of systems and processes which admits sequential and parallel composition. `Terminality' unifies normalisation of pure states, trace-preservation of CP-maps, and adding up to identity of positive operators…

Quantum Physics · Physics 2014-12-31 Bob Coecke

Multi-threaded programs have many applications which are widely used such as operating systems. Analyzing multi-threaded programs differs from sequential ones; the main feature is that many threads execute at the same time. The effect of…

Software Engineering · Computer Science 2011-11-04 Mohamed A. El-Zawawy , Hamada A. Nayel

We present an affine-intuitionistic system of types and effects which can be regarded as an extension of Barber-Plotkin Dual Intuitionistic Linear Logic to multi-threaded programs with effects. In the system, dynamically generated values…

Logic in Computer Science · Computer Science 2010-05-20 Roberto Amadio , Patrick Baillot , Antoine Madet

We present an affine-intuitionistic system of types and effects which can be regarded as an extension of Barber-Plotkin Dual Intuitionistic Linear Logic to multi-threaded programs with effects. In the system, dynamically generated values…

Logic in Computer Science · Computer Science 2009-12-03 Roberto Amadio , Patrick Baillot , Antoine Madet

We report on intermediate results of our research on reasoning about liveness properties in addition to deep correctness properties for an imperative, concurrent programming language with a higher-order store. At present, we focus on one…

Logic in Computer Science · Computer Science 2023-01-02 Justus Fasse , Bart Jacobs

In the setting of the pi-calculus with binary sessions, we aim at relaxing the notion of duality of session types by the concept of retractable compliance developed in contract theory. This leads to extending session types with a new type…

Logic in Computer Science · Computer Science 2017-12-01 Franco Barbanera , Ugo de'Liguoro

This paper shows how we can make use of an asynchronous transition system, whose transitions are labelled with events and which is equipped with a notion of independence of events, to define non-interleaving semantics for the applied…

Logic in Computer Science · Computer Science 2022-09-13 Clément Aubert , Ross Horne , Christian Johansen

There are two kinds of approaches for termination analysis of logic programs: "transformational" and "direct" ones. Direct approaches prove termination directly on the basis of the logic program. Transformational approaches transform a…

Logic in Computer Science · Computer Science 2008-09-01 P. Schneider-Kamp , J. Giesl , A. Serebrenik , R. Thiemann

We present new proofs of termination of evaluation in reduction semantics (i.e., a small-step operational semantics with explicit representation of evaluation contexts) for System F with control operators. We introduce a modified version of…

Programming Languages · Computer Science 2013-09-06 Małgorzata Biernacka , Dariusz Biernacki , Sergueï Lenglet , Marek Materzok

We study a spatially homogeneous model of a market where several agents or companies compete for a wealth resource. In analogy with ecological systems the simplest case of such models shows a kind of "competitive exclusion" principle.…

Condensed Matter · Physics 2009-11-07 Marcelo Kuperman And Horacio Wio

In functional programming languages the use of infinite structures is common practice. For total correctness of programs dealing with infinite structures one must guarantee that every finite part of the result can be evaluated in finitely…

Logic in Computer Science · Computer Science 2009-07-31 Joerg Endrullis , Clemens Grabmayer , Dimitri Hendriks

For a given unconstrained dynamical system, input redundancy has been recently redefined as the existence of distinct inputs producing identical output for the same initial state. By directly referring to signals, this definition readily…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Jean-François Trégouët , Jérémie Kreiss

Contract scheduling is a general technique that allows to design a system with interruptible capabilities, given an algorithm that is not necessarily interruptible. Previous work on this topic has largely assumed that the interruption is a…

Artificial Intelligence · Computer Science 2020-11-26 Spyros Angelopoulos , Shahin Kamali

Higher-order rewriting is a framework in which one can write higher-order programs and study their properties. One such property is termination: the situation that for all inputs, the program eventually halts its execution and produces an…

Logic in Computer Science · Computer Science 2023-08-08 Niels van der Weide , Deivid Vale , Cynthia Kop

Connections between the sequentiality/concurrency distinction and the semantics of proofs are investigated, with particular reference to games and Linear Logic.

Logic in Computer Science · Computer Science 2011-12-01 Samson Abramsky