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We study bisimulation and context equivalence in a probabilistic $\lambda$-calculus. The contributions of this paper are threefold. Firstly we show a technique for proving congruence of probabilistic applicative bisimilarity. While the…

Programming Languages · Computer Science 2013-11-08 Ugo Dal Lago , Davide Sangiorgi , Michele Alberti

We investigate cut-elimination and cut-simulation in impredicative (higher-order) logics. We illustrate that adding simple axioms such as Leibniz equations to a calculus for an impredicative logic -- in our case a sequent calculus for…

Logic in Computer Science · Computer Science 2019-03-14 Christoph Benzmueller , Chad E. Brown , Michael Kohlhase

In this paper we will see deductive systems for classical propositional and predicate logic in the calculus of structures. Like sequent systems, they have a cut rule which is admissible. In addition, they enjoy a top-down symmetry and some…

Logic · Mathematics 2009-09-29 Kai Bruennler

Logical relations are one of the most powerful techniques in the theory of programming languages, and have been used extensively for proving properties of a variety of higher-order calculi. However, there are properties that cannot be…

Programming Languages · Computer Science 2020-02-21 Gilles Barthe , Raphaëlle Crubillé , Ugo Dal Lago , Francesco Gavazzo

We propose a type system to analyze the time consumed by multi-threaded imperative programs with a shared global memory, which delineates a class of safe multi-threaded programs. We demonstrate that a safe multi-threaded program runs in…

Computational Complexity · Computer Science 2012-04-02 Jean-Yves Marion , Romain Péchoux

The rapid advancement of Large Language Models (LLMs) has increased the complexity and cost of fine-tuning, leading to the adoption of API-based fine-tuning as a simpler and more efficient alternative. While this method is popular among…

Computation and Language · Computer Science 2025-03-17 Hongyu Su , Yifeng Gao , Yifan Ding , Xingjun Ma

Type and effect systems are a tool to analyse statically the behaviour of programs with effects. We present a proof based on the so called reducibility candidates that a suitable stratification of the type and effect system entails the…

Logic in Computer Science · Computer Science 2010-07-01 Roberto Amadio

CLASS is a proof-of-concept general purpose linear programming language, flexibly supporting realistic concurrent programming idioms, and featuring an expressive linear type system ensuring that programs (1) never misuse or leak stateful…

Programming Languages · Computer Science 2025-05-28 Luís Caires

Extending the lambda-calculus with a construct for sharing, such as let expressions, enables a special representation of terms: iterated applications are decomposed by introducing sharing points in between any two of them, reducing to the…

Logic in Computer Science · Computer Science 2019-07-16 Beniamino Accattoli , Andrea Condoluci , Giulio Guerrieri , Claudio Sacerdoti Coen

Reasoning about the knowledge of an attacker is a necessary step in many formal analyses of security protocols. In the framework of the applied pi calculus, as in similar languages based on equational logics, knowledge is typically…

Logic in Computer Science · Computer Science 2010-05-06 Mathieu Baudet , Véronique Cortier , Stéphanie Delaune

Probabilistic bisimulation is a fundamental notion of process equivalence for probabilistic systems. Among others, it has important applications including formalizing the anonymity property of several communication protocols. There is a lot…

Software Engineering · Computer Science 2020-11-05 Chih-Duo Hong , Anthony W. Lin , Rupak Majumdar , Philipp Rümmer

Here we define a new unification algorithm for terms interpreted in semantic domains denoted by a subclass of regular types here called deterministic regular types. This reflects our intention not to handle the semantic universe as a…

Logic in Computer Science · Computer Science 2025-02-14 João Barbosa , Mário Florido , Vítor Santos Costa

We present a type system that combines, in a controlled way, first-order polymorphism with intersectiontypes, union types, and subtyping, and prove its safety. We then define a type reconstruction algorithm that issound and terminating.…

Programming Languages · Computer Science 2023-11-20 Giuseppe Castagna , Mickaël Laurent , Kim Nguyen

Computational interpretations of linear logic allow static control of memory resources: the data produced by the program are endowed through its type with attributes that determine its life cycle, and guarantee safe deallocation. The use of…

Programming Languages · Computer Science 2025-10-09 Hector Gramaglia

In this article we present Mutable Locks, a synchronization construct with the same execution semantic of traditional locks (such as spin locks or sleep locks), but with a self-tuned optimized trade off between responsiveness---in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-02 Romolo Marotta , Davide Tiriticco , Pierangelo Di Sanzo , Alessandro Pellegrini , Bruno Ciciani , Francesco Quaglia

Ordered logics and type systems have been used in a variety of applications including computational linguistics, memory allocation, stream processing, logical frameworks, parametricity, and enforcing security protocols. In most…

Logic in Computer Science · Computer Science 2026-05-20 Sophia Roshal , Frank Pfenning

Reactive Turing machines extend classical Turing machines with a facility to model observable interactive behaviour. We call a behaviour executable if, and only if, it is behaviourally equivalent to the behaviour of a reactive Turing…

Logic in Computer Science · Computer Science 2015-08-21 Bas Luttik , Fei Yang

Probabilistic independence is a useful concept for describing the result of random sampling---a basic operation in all probabilistic languages---and for reasoning about groups of random variables. Nevertheless, existing verification methods…

Programming Languages · Computer Science 2020-07-21 Gilles Barthe , Justin Hsu , Kevin Liao

Logic locking as a solution for semiconductor intellectual property (IP) confidentiality has received considerable attention in academia, but has yet to produce a viable solution to protect against known threats. In part due to a lack of…

Cryptography and Security · Computer Science 2026-02-26 Jonathan Cruz , Jason Hamlet

Session types model structured communication-based programming. In particular, binary session types for the pi-calculus describe communication between exactly two participants in a distributed scenario. Adding sessions to the pi-calculus…

Programming Languages · Computer Science 2014-08-27 Ornela Dardha
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