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We present an approach to type theory in which the typing judgments do not have explicit contexts. Instead of judgments of shape "Gamma |- A : B", our systems just have judgments of shape "A : B". A key feature is that we distinguish free…

Logic in Computer Science · Computer Science 2010-09-16 Herman Geuvers , Robbert Krebbers , James McKinna , Freek Wiedijk

Session types have emerged as a typing discipline for communication protocols. Existing calculi with session types come equipped with many different primitives that combine communication with the introduction or elimination of the…

Programming Languages · Computer Science 2019-11-12 Peter Thiemann , Vasco T. Vasconcelos

Session types provide guarantees about concurrent behaviour and can be understood through their correspondence with linear logic, with propositions as sessions and proofs as processes. However, a strictly linear setting is somewhat…

Programming Languages · Computer Science 2024-10-23 Danielle Marshall , Dominic Orchard

Prior work has extended the deep, logical connection between the linear sequent calculus and session-typed message-passing concurrent computation with equi-recursive types and a natural notion of subtyping. In this paper, we extend this…

Programming Languages · Computer Science 2017-02-09 Coşku Acay , Frank Pfenning

Session types are a type-based approach to the verification of message-passing programs. They specify communication structures essential to enforcing program correctness; by relying on sequencing constructs, a session type can precisely…

Programming Languages · Computer Science 2025-05-14 Alen Arslanagić , Jorge A. Pérez , Dan Frumin

We study a probabilistic variant of binary session types that relate to a class of Finite-State Markov Chains. The probability annotations in session types enable the reasoning on the probability that a session terminates successfully, for…

Logic in Computer Science · Computer Science 2020-07-24 Omar Inverso , Hernán Melgratti , Luca Padovani , Catia Trubiani , Emilio Tuosto

Session-types specify communication protocols for communicating processes, and session-typed languages are often specified using substructural operational semantics given by multiset rewriting systems. We give an observed communication…

Programming Languages · Computer Science 2020-09-01 Ryan Kavanagh

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

Session types are a typed approach to message-passing concurrency, where types describe sequences of intended exchanges over channels. Session type systems have been given strong logical foundations via Curry-Howard correspondences with…

Logic in Computer Science · Computer Science 2024-08-23 Bas van den Heuvel , Jorge A. Pérez

Session types have been proposed as a means of statically verifying implementations of communication protocols. Although prior work has been successful in verifying some classes of protocols, it does not cope well with parameterized,…

Programming Languages · Computer Science 2012-08-24 Minas Charalambides , Peter Dinges , Gul Agha

Game semantics provides an interactive point of view on proofs, which enables one to describe precisely their dynamical behavior during cut elimination, by considering formulas as games on which proofs induce strategies. We are specifically…

Logic in Computer Science · Computer Science 2015-05-18 Samuel Mimram

Many properties of communication protocols combine safety and liveness aspects. Characterizing such combined properties by means of a single inference system is difficult because of the fundamentally different techniques (coinduction and…

Logic in Computer Science · Computer Science 2023-06-22 Luca Ciccone , Luca Padovani

Session types capture precise protocol structure in concurrent programming, but do not specify properties of the exchanged values beyond their basic type. Refinement types are a form of dependent types that can address this limitation,…

Logic in Computer Science · Computer Science 2012-11-20 Pedro Baltazar , Dimitris Mostrous , Vasco T. Vasconcelos

Message-passing software systems exhibit non-trivial forms of concurrency and distribution; they are expected to follow intended protocols among communicating services, but also to never "get stuck". This intuitive requirement has been…

Logic in Computer Science · Computer Science 2021-09-07 Ornela Dardha , Jorge A. Pérez

A binary relation over a free monoid is synchronous if it can be recognized by a synchronous automaton that reads its two tapes simultaneously. We consider the case where the free monoid is generated by a single element (which makes it…

Formal Languages and Automata Theory · Computer Science 2023-10-06 Christian Choffrut

Synchronization of coupled continuous-time linear systems is studied in a general setting. For identical neutrally-stable linear systems that are detectable from their outputs, it is shown that a linear output feedback law exists under…

Optimization and Control · Mathematics 2008-01-22 S. Emre Tuna

We study the binary choice problem in a data-rich environment with asymmetric loss functions. The econometrics literature covers nonparametric binary choice problems but does not offer computationally attractive solutions in data-rich…

Econometrics · Economics 2025-11-05 Andrii Babii , Xi Chen , Eric Ghysels , Rohit Kumar

Programs for multiprocessor machines commonly perform busy waiting for synchronization. We propose the first separation logic for modularly verifying termination of such programs under fair scheduling. Our logic requires the proof author to…

Logic in Computer Science · Computer Science 2021-05-19 Tobias Reinhard , Bart Jacobs

Session types are a rich type discipline, based on linear types, that lifts the sort of safety claims that come with type systems to communications. However, web-based applications and microservices are often written in a mix of languages,…

Programming Languages · Computer Science 2019-11-20 Atsushi Igarashi , Peter Thiemann , Yuya Tsuda , Vasco T. Vasconcelos , Philip Wadler

We present a series of definitions and theorems demonstrating how to reduce the requirements for proving system refinements ensuring containment of fair stuttering runs. A primary result of the work is the ability to reduce the requisite…

Logic in Computer Science · Computer Science 2017-05-04 Rob Sumners
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