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We consider the non-deterministic extension of the call-by-value lambda calculus, which corresponds to the additive fragment of the linear-algebraic lambda-calculus. We define a fine-grained type system, capturing the right linearity…

Logic in Computer Science · Computer Science 2012-09-12 Alejandro Díaz-Caro , Barbara Petit

Parametricity allows the transfer of proofs between different implementations of the same data structure. The lambdaPi-calculus modulo theory is an extension of the lambda-calculus with dependent types and user-defined rewrite rules. It is…

Logic in Computer Science · Computer Science 2024-07-10 Thomas Traversié

We define and study translations between the maximal class of analytic display calculi for tense logics and labeled sequent calculi, thus solving an open problem about the translatability of proofs between the two formalisms. In particular,…

Logic in Computer Science · Computer Science 2024-07-01 Tim S. Lyon

Labeling data (e.g., labeling the people, objects, actions and scene in images) comprehensively and efficiently is a widely needed but challenging task. Numerous models were proposed to label various data and many approaches were designed…

Machine Learning · Computer Science 2020-02-14 Mu Yuan , Lan Zhang , Xiang-Yang Li , Hui Xiong

We provide a proof of strong normalisation for lambda+, a recently introduced, explicitly typed, non-deterministic lambda-calculus where isomorphic propositions are identified. Such a proof is a non-trivial adaptation of the reducibility…

Logic in Computer Science · Computer Science 2014-01-09 Alejandro Díaz-Caro , Gilles Dowek

Machine-learning-based code vulnerability detection (CVD) has progressed rapidly, from deep program representations to pretrained code models and LLM-centered pipelines. Yet dependable vulnerability labeling remains expensive, noisy, and…

Cryptography and Security · Computer Science 2026-04-02 Noor Khalal , Chakib Fettal , Lazhar Labiod , Mohamed Nadif

Building on recently established enumerative connections between lambda calculus and the theory of embedded graphs (or "maps"), this paper develops an analogy between typing (of lambda terms) and coloring (of maps). Our starting point is…

Logic in Computer Science · Computer Science 2018-04-30 Noam Zeilberger

Reversible concurrent calculi are abstract models for concurrent systems in which any action can potentially be undone. Over the last few decades, different formalisms have been developed and their mathematical properties have been…

Logic in Computer Science · Computer Science 2025-08-20 Gabriele Cecilia

An important problem in multi-label classification is to capture label patterns or underlying structures that have an impact on such patterns. This paper addresses one such problem, namely how to exploit hierarchical structures over labels.…

Machine Learning · Computer Science 2015-04-17 Jinseok Nam , Johannes Fürnkranz

A term calculus for the proofs in multiplicative-additive linear logic is introduced and motivated as a programming language for channel based concurrency. The term calculus is proved complete for a semantics in linearly distributive…

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

We introduce labelled sequent calculi for quantified modal logics with definite descriptions. We prove that these calculi have the good structural properties of G3-style calculi. In particular, all rules are height-preserving invertible,…

Logic · Mathematics 2020-02-13 Eugenio Orlandelli

This paper deals with the $\lambda$-labeling and $L(2,1)$-coloring of simple graphs. A $\lambda$-labeling of a graph $G$ is any labeling of the vertices of $G$ with different labels such that any two adjacent vertices receive labels which…

Combinatorics · Mathematics 2024-03-05 Manouchehr Zaker

The intuitionistic fragment of the call-by-name version of Curien and Herbelin's \lambda\_mu\_{\~mu}-calculus is isolated and proved strongly normalising by means of an embedding into the simply-typed lambda-calculus. Our embedding is a…

Logic in Computer Science · Computer Science 2015-07-01 Jose Espirito Santo , Ralph Matthes , Luis Pinto

We consider the call-by-value lambda-calculus extended with a may-convergent non-deterministic choice and a must-convergent parallel composition. Inspired by recent works on the relational semantics of linear logic and non-idempotent…

Logic in Computer Science · Computer Science 2014-01-08 Alejandro Díaz-Caro , Giulio Manzonetto , Michele Pagani

The $\lambda$-calculus is a handy formalism to specify the evaluation of higher-order programs. It is not very handy, however, when one interprets the specification as an execution mechanism, because terms can grow exponentially with the…

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

The structure of a network is an unlabeled graph, yet graphs in most models of complex networks are labeled by meaningless random integers. Is the associated labeling noise always negligible, or can it overpower the network-structural…

Physics and Society · Physics 2022-11-21 Jeremy Paton , Harrison Hartle , Huck Stepanyants , Pim van der Hoorn , Dmitri Krioukov

We find that the way we choose to represent data labels can have a profound effect on the quality of trained models. For example, training an image classifier to regress audio labels rather than traditional categorical probabilities…

Machine Learning · Computer Science 2021-04-07 Boyuan Chen , Yu Li , Sunand Raghupathi , Hod Lipson

This paper introduces a logical system, called BV, which extends multiplicative linear logic by a non-commutative self-dual logical operator. This extension is particularly challenging for the sequent calculus, and so far it is not achieved…

Logic in Computer Science · Computer Science 2007-05-23 Alessio Guglielmi

This paper presents the Pi-graphs, a visual paradigm for the modelling and verification of mobile systems. The language is a graphical variant of the Pi-calculus with iterators to express non-terminating behaviors. The operational semantics…

Formal Languages and Automata Theory · Computer Science 2010-11-02 Frédéric Peschanski , Hanna Klaudel , Raymond Devillers

We propose an architecture to jointly learn word and label embeddings for slot filling in spoken language understanding. The proposed approach encodes labels using a combination of word embeddings and straightforward word-label association…

Computation and Language · Computer Science 2019-10-17 Jiewen Wu , Luis Fernando D'Haro , Nancy F. Chen , Pavitra Krishnaswamy , Rafael E. Banchs