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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

A notion of open bisimulation is formulated for the spi calculus, an extension of the pi-calculus with cryptographic primitives. In this formulation, open bisimulation is indexed by pairs of symbolic traces, which represent the history of…

Cryptography and Security · Computer Science 2009-01-16 Alwen Tiu

We describe a process calculus featuring high level constructs for component-oriented programming in a distributed setting. We propose an extension of the higher-order pi-calculus intended to capture several important mechanisms related to…

Programming Languages · Computer Science 2009-09-04 Daniel Hirschkoff , Aurélien Pardon , Tom Hirschowitz , Samuel Hym , Damien Pous

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

The paper addresses the problem of computing maximal expected time to termination of probabilistic timed automata (PTA) models, under the condition that the system will, eventually, terminate. This problem can exhibit high computational…

Formal Languages and Automata Theory · Computer Science 2018-03-23 Omar Al-Bataineh , Michael Fisher , David Rosenblum

Proof search has been used to specify a wide range of computation systems. In order to build a framework for reasoning about such specifications, we make use of a sequent calculus involving induction and co-induction. These proof principles…

Logic in Computer Science · Computer Science 2010-10-01 Alwen Tiu , Alberto Momigliano

Verifying properties of object-oriented software requires a method for handling references in a simple and intuitive way, closely related to how O-O programmers reason about their programs. The method presented here, a Calculus of Object…

Software Engineering · Computer Science 2011-07-19 Bertrand Meyer

The term {\em meta-programming} refers to the ability of writing programs that have other programs as data and exploit their semantics. The aim of this paper is presenting a methodology allowing us to perform a correct termination analysis…

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

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

We formally verify several computational reductions concerning the Post correspondence problem (PCP) using the proof assistant Coq. Our verifications include a reduction of a string rewriting problem generalising the halting problem for…

Logic in Computer Science · Computer Science 2022-12-09 Yannick Forster , Edith Heiter , Gert Smolka

To support the understanding of declarative probabilistic programming languages, we introduce a lambda-calculus with a fair binary probabilistic choice that chooses between its arguments with equal probability. The reduction strategy of the…

Logic in Computer Science · Computer Science 2022-05-31 David Sabel , Manfred Schmidt-Schauß , Luca Maio

We describe an algorithm for proving termination of programs abstracted to systems of monotonicity constraints in the integer domain. Monotonicity constraints are a non-trivial extension of the well-known size-change termination method.…

Logic in Computer Science · Computer Science 2011-08-01 Michael Codish , Igor Gonopolskiy , Amir M. Ben-Amram , Carsten Fuhs , Jürgen Giesl

Contrary to the sequential world, the processes involved in a distributed system do not necessarily know when a computation is globally finished. This paper investigates the problem of the detection of the termination of local computations.…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-01-20 Emmanuel Godard , Yves Métivier , Gerard Tel

We present a systematic, algebraically based, design methodology for efficient implementation of computer programs optimized over multiple levels of the processor/memory and network hierarchy. Using a common formalism to describe the…

Mathematical Software · Computer Science 2008-03-18 Lenore R. Mullin , James E. Raynolds

This thesis is focused on techniques for finite automata and their use in practice, with the main emphasis on nondeterministic tree automata. This concerns namely techniques for size reduction and language inclusion testing, which are two…

Formal Languages and Automata Theory · Computer Science 2017-06-13 Lukáš Holík

This paper presents a proof-theoretic analysis of the modal $\mu$-calculus. More precisely, we prove a syntactic cut-elimination for the non-wellfounded modal $\mu$-calculus, using methods from linear logic and its exponential modalities.…

Logic in Computer Science · Computer Science 2025-06-12 Esaïe Bauer , Alexis Saurin

Recently, there has been an increasing interest in the bottom-up evaluation of the semantics of logic programs with complex terms. The presence of function symbols in the program may render the ground instantiation infinite, and finiteness…

Logic in Computer Science · Computer Science 2015-10-07 Marco Calautti , Sergio Greco , Francesca Spezzano , Irina Trubitsyna

Proof theory provides a foundation for studying and reasoning about programming languages, most directly based on the well-known Curry-Howard isomorphism between intuitionistic logic and the typed lambda-calculus. More recently, a…

Logic in Computer Science · Computer Science 2023-06-22 Farzaneh Derakhshan , Frank Pfenning

We present the SER modeling language for automatically verifying serializability of concurrent programs, i.e., whether every concurrent execution of the program is equivalent to some serial execution. SER programs are suitably restricted to…

Formal Languages and Automata Theory · Computer Science 2026-01-21 Guy Amir , Mark Barbone , Nicolas Amat , Jules Jacobs

Models of complex systems are often formalized as sequential software simulators: computationally intensive programs that iteratively build up probable system configurations given parameters and initial conditions. These simulators enable…

Machine Learning · Statistics 2015-06-02 Ardavan Saeedi , Vlad Firoiu , Vikash Mansinghka