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We propose a type-based analysis to infer the session protocols of channels in an ML-like concurrent functional language. Combining and extending well-known techniques, we develop a type-checking system that separates the underlying ML type…

Programming Languages · Computer Science 2016-04-14 Carlo Spaccasassi , Vasileios Koutavas

One of the aims of Implicit Computational Complexity is the design of programming languages with bounded computational complexity; indeed, guaranteeing and certifying a limited resources usage is of central importance for various aspects of…

Logic in Computer Science · Computer Science 2014-10-24 Erika De Benedetti , Simona Ronchi Della Rocca

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

Predictive models are fundamental to engineering reliable software systems. However, designing conservative, computable approximations for the behavior of programs (static analyses) remains a difficult and error-prone process for modern…

Programming Languages · Computer Science 2011-05-10 David Van Horn , Matthew Might

We classify programming languages according to evaluation order: each language fixes one evaluation order as the default, making it transparent to program in that evaluation order, and troublesome to program in the other. This paper…

Programming Languages · Computer Science 2020-08-25 Jana Dunfield

Effective program synthesis requires a way to minimise the number of candidate programs being searched. A type signature, for example, places some small restrictions on the structure of potential candidates. We introduce and motivate a…

Programming Languages · Computer Science 2019-07-15 Bruce Collie , Michael O'Boyle

Formal verification methods for concurrent systems cannot always be scaled-down or tailored in order to be applied on specific subsystems. We address such an issue in a MultiParty Session Types setting by devising a partial type assignment…

Logic in Computer Science · Computer Science 2024-10-02 Franco Barbanera , Mariangiola Dezani-Ciancaglini , Ugo de'Liguoro

Polarization of types in call-by-push-value naturally leads to the separation of inductively defined observable values (classified by positive types), and coinductively defined computations (classified by negative types), with adjoint…

Programming Languages · Computer Science 2022-01-27 Zeeshan Lakhani , Ankush Das , Henry DeYoung , Andreia Mordido , Frank Pfenning

We propose a general framework to allow: (a) specifying the operational semantics of a programming language; and (b) stating and proving properties about program correctness. Our framework is based on a many-sorted system of hybrid modal…

Logic in Computer Science · Computer Science 2025-12-01 Ioana Leustean , Natalia Moanga , Traian Florin Serbanuta

We present the first session typing system guaranteeing request-response liveness properties for possibly non-terminating communicating processes. The types augment the branch and select types of the standard binary session types with a set…

Logic in Computer Science · Computer Science 2017-01-11 Søren Debois , Thomas Hildebrandt , Tijs Slaats , Nobuko Yoshida

We present ConSORT, a type system for safety verification in the presence of mutability and aliasing. Mutability requires strong updates to model changing invariants during program execution, but aliasing between pointers makes it difficult…

Programming Languages · Computer Science 2020-02-19 John Toman , Ren Siqi , Kohei Suenaga , Atsushi Igarashi , Naoki Kobayashi

We study a type checking algorithm that is able to type check a nontrivial subclass of functional programs that use features such as higher-rank, impredicative and second-order types. The only place the algorithm requires type annotation is…

Logic in Computer Science · Computer Science 2017-11-15 Peng Fu

Design patterns are distilled from many real systems to catalog common programming practice. However, some object-oriented design patterns are distorted or overly complicated because of the lack of supporting programming language constructs…

Programming Languages · Computer Science 2019-06-03 Gerald Baumgartner , Konstantin Läufer , Vincent F. Russo

We present an approach to support partiality in type-level computation without compromising expressiveness or type safety. Existing frameworks for type-level computation either require totality or implicitly assume it. For example, type…

Programming Languages · Computer Science 2017-06-30 J. Garrett Morris , Richard Eisenberg

We present a type theory combining both linearity and dependency by stratifying typing rules into a level for logics and a level for programs. The distinction between logics and programs decouples their semantics, allowing the type system…

Programming Languages · Computer Science 2025-10-08 Qiancheng Fu , Hongwei Xi

Harnessing the power of dependently typed languages can be difficult. Programmers must manually construct proofs to produce well-typed programs, which is not an easy task. In particular, migrating code to these languages is challenging.…

Programming Languages · Computer Science 2021-07-13 Joseph Eremondi , Ronald Garcia , Éric Tanter

While methods of code abstraction and reuse are widespread and well researched, methods of proof abstraction and reuse are still emerging. We consider the use of dependent types for this purpose, introducing a completely mechanical approach…

Programming Languages · Computer Science 2012-08-03 Christopher Schwaab , Jeremy G. Siek

We propose an amortized analysis that approximates the resource usage of a Haskell expression. Using the plugin API of GHC, we convert the Haskell code into a simplified representation called GHC Core. We then apply a type-based system…

Programming Languages · Computer Science 2019-08-20 Franz Siglmüller

We define and study "row polymorphism" for a type system with set-theoretic types, specifically union, intersection, and negation types. We consider record types that embed row variables and define a subtyping relation by interpreting types…

Programming Languages · Computer Science 2025-09-29 Giuseppe Castagna , Loïc Peyrot

Using multisets, we develop novel techniques for mechanizing the proofs of the synthesis conjectures for list-sorting algorithms, and we demonstrate them in the Theorema system. We use the classical principle of extracting the algorithm as…

Logic in Computer Science · Computer Science 2019-09-05 Isabela Drămnesc , Tudor Jebelean