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Reversible interactions model different scenarios, like biochemical systems and human as well as automatic negotiations. We abstract interactions via multiparty sessions enriched with named checkpoints. Computations can either go forward or…

Logic in Computer Science · Computer Science 2016-08-11 Mariangiola Dezani-Ciancaglini , Paola Giannini

In this paper we work on (bi)simulation semantics of processes that exhibit both nondeterministic and probabilistic behaviour. We propose a probabilistic extension of the modal mu-calculus and show how to derive characteristic formulae for…

Logic in Computer Science · Computer Science 2015-05-19 Yuxin Deng , Rob van Glabbeek

Multiparty Session Types (MPST) are a typing discipline for communication-centric systems, guaranteeing communication safety, deadlock freedom and protocol compliance. Several works have emerged which model failures and introduce…

Programming Languages · Computer Science 2023-01-27 Matthew Alan Le Brun , Ornela Dardha

Multiparty Session Types (MPSTs) offer a structured way of specifying communication protocols and guarantee relevant communication properties, such as deadlock-freedom. In this paper, we extend a minimal MPST system with quantum data and…

Programming Languages · Computer Science 2024-09-18 Ivan Lanese , Ugo Dal Lago , Vikraman Choudhury

Probabilistic programming languages represent complex data with intermingled models in a few lines of code. Efficient inference algorithms in probabilistic programming languages make possible to build unified frameworks to compute…

Machine Learning · Statistics 2016-07-15 Anh Tong , Jaesik Choi

We introduce a formal meta-language for probabilistic programming, capable of expressing both programs and the type systems in which they are embedded. We are motivated here by the desire to allow an AGI to learn not only relevant knowledge…

Artificial Intelligence · Computer Science 2022-08-17 Jonathan Warrell , Alexey Potapov , Adam Vandervorst , Ben Goertzel

We study the notion of subtyping for session types in a logical setting, where session types are propositions of multiplicative/additive linear logic extended with least and greatest fixed points. The resulting subtyping relation admits a…

Logic in Computer Science · Computer Science 2023-04-14 Ross Horne , Luca Padovani

Global types are formal specifications that describe communication protocols in terms of their global interactions. We present a new, streamlined language of global types equipped with a trace-based semantics and whose features and…

Programming Languages · Computer Science 2015-07-01 Giuseppe Castagna , Mariangiola Dezani-Ciancaglini , Luca Padovani

In a previous paper, a process algebra based on ACP (Algebra of Communicating Processes) was proposed in which processes involving data can be handled by means of features originating from imperative programming. In this paper, an extension…

Logic in Computer Science · Computer Science 2026-05-19 C. A. Middelburg

Randomized higher-order computation can be seen as being captured by a lambda calculus endowed with a single algebraic operation, namely a construct for binary probabilistic choice. What matters about such computations is the probability of…

Logic in Computer Science · Computer Science 2020-12-24 Ugo Dal Lago , Claudia Faggian , Simona Ronchi Della Rocca

Qualitative and quantitative approaches to reasoning about uncertainty can lead to different logical systems for formalizing such reasoning, even when the language for expressing uncertainty is the same. In the case of reasoning about…

Artificial Intelligence · Computer Science 2021-04-07 Matthew Harrison-Trainor , Wesley H. Holliday , Thomas F. Icard

We first present a probabilistic version of ACP that rests on the principle that probabilistic choices are always resolved before choices involved in alternative composition and parallel composition are resolved and then extend this…

Logic in Computer Science · Computer Science 2020-12-23 C. A. Middelburg

Population protocols are a relatively novel computational model in which very resource-limited anonymous agents interact in pairs with the goal of computing predicates. We consider the probabilistic version of this model, which naturally…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-20 Vladyslav Melnychuk

Expert systems applications that involve uncertain inference can be represented by a multidimensional contingency table. These tables offer a general approach to inferring with uncertain evidence, because they can embody any form of…

Artificial Intelligence · Computer Science 2013-04-15 David S. Vaughan , Bruce M. Perrin , Robert M. Yadrick , Peter D. Holden , Karl G. Kempf

In this paper we formulate a probabilistic model for class-specific discriminant subspace learning. The proposed model can naturally incorporate the multi-modal structure of the negative class, which is neglected by existing class-specific…

Machine Learning · Computer Science 2020-10-06 Alexandros Iosifidis

We define a novel calculus that combines a call-by-name functional core with session-based communication primitives. We develop a typing discipline that guarantees both normalisation of expressions and progress of processes and that…

Logic in Computer Science · Computer Science 2023-06-22 Paula Severi , Luca Padovani , Emilio Tuosto , Mariangiola Dezani-Ciancaglini

Probabilistic operational semantics for a nondeterministic extension of pure lambda calculus is studied. In this semantics, a term evaluates to a (finite or infinite) distribution of values. Small-step and big-step semantics are both…

Logic in Computer Science · Computer Science 2011-06-28 Ugo Dal Lago , Margherita Zorzi

This paper investigates a representation language with flexibility inspired by probabilistic logic and compactness inspired by relational Bayesian networks. The goal is to handle propositional and first-order constructs together with…

Artificial Intelligence · Computer Science 2012-07-19 Fabio Gagliardi Cozman , Cassio Polpo de Campos , Jaime Ide , Jose Carlos Ferreira da Rocha

We add probabilistic features to basic thread algebra and its extensions with thread-service interaction and strategic interleaving. Here, threads represent the behaviours produced by instruction sequences under execution and services…

Logic in Computer Science · Computer Science 2016-02-05 J. A. Bergstra , C. A. Middelburg

System F, the polymorphic lambda calculus, features the principle of impredicativity: polymorphic types may be (explicitly) instantiated at other types, enabling many powerful idioms such as Church encoding and data abstraction.…

Programming Languages · Computer Science 2022-03-04 Henry Mercer , Cameron Ramsay , Neel Krishnaswami
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