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Related papers: A resource analysis of the pi-calculus

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We extend dynamic logic of propositional assignments by adding an operator of parallel composition that is inspired by separation logics. We provide an axiomatisation via reduction axioms, thereby establishing decidability. We also prove…

Logic in Computer Science · Computer Science 2021-05-04 Joseph Boudou , Andreas Herzig , Nicolas Troquard

We introduce a dialect of the Asynchronous pi-calculus, called AWpi, in which (1) an input name may be owned, at any time, by at most one process; (2) each name has either only the input or only the output capability. As a result, special…

Logic in Computer Science · Computer Science 2026-05-19 Ken Sakayori , Davide Sangiorgi , Simon Castellan , Pierre Clairambault

We present a semantics based framework for analysing the quantitative behaviour of programs with regard to resource usage. We start from an operational semantics equipped with costs. The dioid structure of the set of costs allows for…

Logic in Computer Science · Computer Science 2010-06-29 David Cachera , Arnaud Jobin

Initiated by Abramsky [1994], the Proofs as Processes agenda is to establish a solid foundation for the study of concurrent languages, by researching the connection between linear logic and the $\pi$-calculus. To date, Proofs as Processes…

Logic in Computer Science · Computer Science 2021-06-23 Fabrizio Montesi , Marco Peressotti

The paper relates two variants of semantic models for natural language, logical functional models and compositional distributional vector space models, by transferring the logic and reasoning from the logical to the distributional models.…

Logic in Computer Science · Computer Science 2014-12-31 Anne Preller

This paper is a brief and informal presentation of cirquent calculus, a novel proof system for resource-conscious logics. As such, it is a refinement of sequent calculus with mechanisms that allow to explicitly account for the possibility…

Logic in Computer Science · Computer Science 2021-08-31 Giorgi Japaridze , Bikal Lamichhane

Separation logic and its variants can describe various properties on pointer programs. However, when it comes to properties on sequences, one may find it hard to formalize. To deal with properties on variable-length sequences and multilevel…

Logic in Computer Science · Computer Science 2023-02-09 Tianyue Cao , Bowen Zhang , Zhao Jin , Yongzhi Cao , Hanpin Wang

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

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

A simple mechanism for allocating indivisible resources is sequential allocation in which agents take turns to pick items. We focus on possible and necessary allocation problems, checking whether allocations of a given form occur in some or…

Artificial Intelligence · Computer Science 2014-12-09 Haris Aziz , Toby Walsh , Lirong Xia

In this paper we investigate fair computations in the pi-calculus. Following Costa and Stirling's approach for CCS-like languages, we consider a method to label process actions in order to filter out unfair computations. We contrast the…

Logic in Computer Science · Computer Science 2015-07-01 D. Cacciagrano , F. Corradini , C. Palamidessi

In the logic programming paradigm, it is difficult to develop an elegant solution for generating distinguishing formulae that witness the failure of open-bisimilarity between two pi-calculus processes; this was unexpected because the…

Logic in Computer Science · Computer Science 2017-06-01 Ki Yung Ahn , Ross Horne , Alwen Tiu

A typical way of analyzing the time complexity of functional programs is to extract a recurrence expressing the running time of the program in terms of the size of its input, and then to solve the recurrence to obtain a big-O bound. For…

Programming Languages · Computer Science 2020-08-03 Joseph W. Cutler , Daniel R. Licata , Norman Danner

Effectful programs interact in ways that go beyond simple input-output, making compositional reasoning challenging. Existing work has shown that when such programs are ``separate'', i.e., when programs do not interfere with each other, it…

Programming Languages · Computer Science 2023-03-06 Pedro H. Azevedo de Amorim , Justin Hsu

We examine the relationship between the Bayesian and information-theoretic formulations of source separation algorithms. This work makes use of the relationship between the work of Claude E. Shannon and the "Recent Contributions" by Warren…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Kevin H. Knuth

Drossopoulou and Noble argue persuasively for the need for a means to express policy in object-capability-based systems. We investigate a practical means to realize their aim via the Curry-Howard isomorphism. Specifically, we investigate…

Cryptography and Security · Computer Science 2013-08-01 Lucius G Meredith , Mike Stay , Sophia Drossopoulou

This paper concerns the relation between process algebra and Hoare logic. We investigate the question whether and how a Hoare logic can be used for reasoning about how data change in the course of a process when reasoning equationally about…

Logic in Computer Science · Computer Science 2021-05-18 J. A. Bergstra , C. A. Middelburg

Message passing is a key ingredient of concurrent programming. The purpose of this paper is to describe the equivalence between the proof theory, the categorical semantics, and term calculus of message passing. In order to achieve this we…

Category Theory · Mathematics 2010-03-03 J. R. B. Cockett , Craig Pastro

An automated resource analysis technique is introduced, targeting a Call-By-Push-Value abstract machine, with memory prediction as a practical goal. The machine has a polymorphic and linear type system enhanced with a first-order logical…

Logic in Computer Science · Computer Science 2023-10-24 Hector Suzanne , Emmanuel Chailloux

We view channels as the main form of resources in a message-passing programming paradigm. These channels need to be carefully managed in settings where resources are scarce. To study this problem, we extend the pi-calculus with primitives…

Logic in Computer Science · Computer Science 2010-04-08 Edsko de Vries , Adrian Francalanza , Matthew Hennessy