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In this paper, we establish the foundations of a novel logical framework for the {\pi}-calculus, based on the deduction-as-computation paradigm. Following the standard proof-theoretic interpretation of logic programming, we represent…

Logic in Computer Science · Computer Science 2025-01-17 Matteo Acclavio , Giulia Manara

We study the interaction of the programming construct "new", which generates statically scoped names, with communication via messages on channels. This interaction is crucial in security protocols, which are the main motivating examples for…

Cryptography and Security · Computer Science 2017-07-31 Martín Abadi , Bruno Blanchet , Cédric Fournet

Process calculi based in logic, such as $\pi$DILL and CP, provide a foundation for deadlock-free concurrent programming, but exclude non-determinism and races. HCP is a reformulation of CP which addresses a fundamental shortcoming: the…

Logic in Computer Science · Computer Science 2023-06-22 Wen Kokke , J. Garrett Morris , Philip Wadler

We present a type checking algorithm for establishing a session-based discipline in the pi calculus of Milner, Parrow and Walker. Our session types are qualified as linear or unrestricted. Linearly typed communication channels are…

Programming Languages · Computer Science 2011-08-12 Marco Giunti

We present a unifying framework for type systems for process calculi. The core of the system provides an accurate correspondence between essentially functional processes and linear logic proofs; fragments of this system correspond to…

Logic in Computer Science · Computer Science 2015-05-29 Emmanuel Beffara

We define an extension of lambda-calculus with dependents types that enables us to encode transparent and opaque probabilistic programs and prove a strong normalisation result for it by a reducibility technique. While transparent…

Logic in Computer Science · Computer Science 2026-03-10 Francesco A. Genco

The well-known process algebras, such as CCS, ACP and $\pi$-calculus, capture the interleaving concurrency based on bisimilarity semantics. We did some work on truly concurrent process algebras, such as CTC, APTC and $\pi_{tc}$, capture the…

Logic in Computer Science · Computer Science 2021-09-09 Yong Wang

Termination is a central property in sequential programming models: a term is terminating if all its reduction sequences are finite. Termination is also important in concurrency in general, and for message-passing programs in particular. A…

Logic in Computer Science · Computer Science 2023-08-03 Joseph W. N. Paulus , Jorge A. Pérez , Daniele Nantes-Sobrinho

Existing formalisms for the algebraic specification and representation of networks of reversible agents suffer some shortcomings. Despite multiple attempts, reversible declensions of the Calculus of Communicating Systems (CCS) do not offer…

Logic in Computer Science · Computer Science 2021-03-30 Clément Aubert , Doriana Medić

Integrated circuit (IC) piracy and overproduction are serious issues that threaten the security and integrity of a system. Logic locking is a type of hardware obfuscation technique where additional key gates are inserted into the circuit.…

Cryptography and Security · Computer Science 2021-01-27 Michael Yue , Fatemeh Tehranipoor

Calculi with control operators have been studied to reason about control in programming languages and to interpret the computational content of classical proofs. To make these calculi into a real programming language, one should also…

Logic in Computer Science · Computer Science 2012-10-12 Robbert Krebbers

We present a type theory combining both linearity and dependency by stratifying typing rules into a level for logics and a level for programs. The distinction between logics and programs decouples their semantics, allowing the type system…

Programming Languages · Computer Science 2025-10-08 Qiancheng Fu , Hongwei Xi

The lock-free, ordered, linked list is an important, standard example of a concurrent data structure. An obvious, practical drawback of textbook implementations is that failed compare-and-swap (CAS) operations lead to retraversal of the…

Data Structures and Algorithms · Computer Science 2020-11-02 Jesper Larsson Träff , Manuel Pöter

Message-passing based concurrent languages are widely used in developing large distributed and coordination systems. This paper presents the buffered $\pi$-calculus --- a variant of the $\pi$-calculus where channel names are classified into…

Logic in Computer Science · Computer Science 2012-12-27 Xiaojie Deng , Yu Zhang , Yuxin Deng , Farong Zhong

A well-established approach to proving progress properties such as deadlock-freedom and termination is to associate obligations with threads. For example, in most existing work the proof rule for lock acquisition prescribes a standard usage…

Programming Languages · Computer Science 2024-12-20 Justus Fasse , Bart Jacobs

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

Interactive behaviors are ubiquitous in modern cryptography, but are also present in $\lambda$-calculi, in the form of higher-order constructions. Traditionally, however, typed $\lambda$-calculi simply do not fit well into cryptography,…

Logic in Computer Science · Computer Science 2015-06-12 Alberto Cappai , Ugo Dal Lago

We propose an extension of the asynchronous pi-calculus with a notion of random choice. We define an operational semantics which distinguishes between probabilistic choice, made internally by the process, and nondeterministic choice, made…

Programming Languages · Computer Science 2007-05-23 Oltea Mihaela Herescu , Catuscia Palamidessi

The $\pi$-calculus is a process algebra where agents interact by sending communication links to each other via noiseless communication channels. Taking into account the reality of noisy channels, an extension of the $\pi$-calculus, called…

Logic in Computer Science · Computer Science 2011-10-04 Yongzhi Cao

An ever-increasing number of critical infrastructures rely heavily on the assumption that security protocols satisfy a wealth of requirements. Hence, the importance of certifying e.g., privacy properties using methods that are better at…

Cryptography and Security · Computer Science 2026-03-17 Clément Aubert , Ross Horne , Christian Johansen , Sjouke Mauw