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This paper presents a new, significantly simpler proof of one of the main results of applied pi-calculus: the theorem that the concepts of observational and labeled equivalence of extended processes in applied pi-calculus coincide.

Logic in Computer Science · Computer Science 2026-04-09 Andrew M. Mironov

Formalising the pi-calculus is an illuminating test of the expressiveness of logical frameworks and mechanised metatheory systems, because of the presence of name binding, labelled transitions with name extrusion, bisimulation, and…

Logic in Computer Science · Computer Science 2015-07-30 Roly Perera , James Cheney

A cornerstone of the theory of lambda-calculus is that intersection types characterise termination properties. They are a flexible tool that can be adapted to various notions of termination, and that also induces adequate denotational…

Logic in Computer Science · Computer Science 2019-02-18 Beniamino Accattoli , Giulio Guerrieri , Maico Leberle

Justification logics are modal-like logics that provide a framework for reasoning about justifications. This paper introduces labeled sequent calculi for justification logics, as well as for hybrid modal-justification logics. Using the…

Logic · Mathematics 2025-01-17 Meghdad Ghari

We introduce LAM, a subsystem of IMALL2 with restricted additive rules able to manage duplication linearly, called linear additive rules. LAM is presented as the type assignment system for a calculus endowed with copy constructors, which…

Logic in Computer Science · Computer Science 2022-01-03 Gianluca Curzi

In functional programming, point-free relation calculi have been fruitful for general theories of program construction, but for specific applications pointwise expressions can be more convenient and comprehensible. In imperative…

Programming Languages · Computer Science 2015-10-20 David A. Naumann

We introduce proper display calculi for intuitionistic, bi-intuitionistic and classical linear logics with exponentials, which are sound, complete, conservative, and enjoy cut-elimination and subformula property. Based on the same design,…

Logic · Mathematics 2016-11-15 Giuseppe Greco , Alessandra Palmigiano

We focus on control constructs that allow programmers define actions to be performed when respective conditions are met without requiring the explicit evaluation and testing of conditions as part of an imperative algorithm. Such elements…

Programming Languages · Computer Science 2021-03-08 Anthony Savidis

Many modern multiclass and multilabel problems are characterized by increasingly large output spaces. For these problems, label embeddings have been shown to be a useful primitive that can improve computational and statistical efficiency.…

Machine Learning · Computer Science 2015-07-07 Paul Mineiro , Nikos Karampatziakis

Variable Elimination (VE) is a classical exact inference algorithm for probabilistic graphical models such as Bayesian Networks, computing the marginal distribution of a subset of the random variables in the model. Our goal is to understand…

Logic in Computer Science · Computer Science 2025-01-28 Thomas Ehrhard , Claudia Faggian , Michele Pagani

Multi-task learning in text classification leverages implicit correlations among related tasks to extract common features and yield performance gains. However, most previous works treat labels of each task as independent and meaningless…

Computation and Language · Computer Science 2017-10-20 Honglun Zhang , Liqiang Xiao , Wenqing Chen , Yongkun Wang , Yaohui Jin

We investigate program equivalence for linear higher-order(sequential) languages endowed with primitives for computational effects. More specifically, we study operationally-based notions of program equivalence for a linear…

Programming Languages · Computer Science 2021-06-25 Ugo Dal Lago , Francesco Gavazzo

We give a categorical semantics for a call-by-value linear lambda calculus. Such a lambda calculus was used by Selinger and Valiron as the backbone of a functional programming language for quantum computation. One feature of this lambda…

Logic in Computer Science · Computer Science 2008-01-08 Peter Selinger , Benoît Valiron

The lambda calculus with constructors is an extension of the lambda calculus with variadic constructors. It decomposes the pattern-matching a la ML into a case analysis on constants and a commutation rule between case and application…

Logic in Computer Science · Computer Science 2012-03-06 Barbara Petit

It is well-known that exploiting label correlations is crucially important to multi-label learning. Most of the existing approaches take label correlations as prior knowledge, which may not correctly characterize the real relationships…

Machine Learning · Computer Science 2019-02-11 Lei Feng , Bo An , Shuo He

The so-called light logics have been introduced as logical systems enjoying quite remarkable normalization properties. Designing a type assignment system for pure lambda calculus from these logics, however, is problematic. In this paper we…

Logic in Computer Science · Computer Science 2015-07-01 Paolo Coppola , Ugo Dal Lago , Simona Ronchi Della Rocca

This thesis introduces the "method of structural refinement", which serves as a means of transforming the relational semantics of a modal and/or constructive logic into an 'economical' proof system by connecting two proof-theoretic…

Logic in Computer Science · Computer Science 2021-08-02 Tim Lyon

The elegant theory of the call-by-value lambda-calculus relies on weak evaluation and closed terms, that are natural hypotheses in the study of programming languages. To model proof assistants, however, strong evaluation and open terms are…

Logic in Computer Science · Computer Science 2016-09-21 Beniamino Accattoli , Giulio Guerrieri

We review, for a general audience, a variety of recent experiments on extracting structure from machine-learning mathematical data that have been compiled over the years. Focusing on supervised machine-learning on labeled data from…

Machine Learning · Computer Science 2021-04-09 Yang-Hui He

Correctness of program transformations in extended lambda calculi with a contextual semantics is usually based on reasoning about the operational semantics which is a rewrite semantics. A successful approach to proving correctness is the…

Programming Languages · Computer Science 2010-12-23 Conrad Rau , Manfred Schmidt-Schauß
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