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We introduce type annotations as a flexible typing mechanism for graph systems and discuss their advantages with respect to classical typing based on graph morphisms. In this approach the type system is incorporated with the graph and…

Software Engineering · Computer Science 2016-12-07 Paolo Bottoni , Andrew Fish , Francesco Parisi Presicce

This article first provides an algorithm W based type inference algorithm for an affine type system. Then the article further assumes the language equipped with the above type system uses lazy evaluation, and explores the possibility of…

Programming Languages · Computer Science 2022-04-01 Gonglin Li

Simple type theory is formulated for use with the generic theorem prover Isabelle. This requires explicit type inference rules. There are function, product, and subset types, which may be empty. Descriptions (the eta-operator) introduce the…

Logic in Computer Science · Computer Science 2008-02-03 Lawrence C. Paulson

This paper introduces a new methodology for the complexity analysis of higher-order functional programs, which is based on three components: a powerful type system for size analysis and a sound type inference procedure for it, a ticking…

Logic in Computer Science · Computer Science 2017-04-20 Martin Avanzini , Ugo Dal Lago

Refinement types -- types qualified with logical predicates -- have proven effective for lightweight verification in languages like Liquid Haskell, F*, and Dafny. However, in these systems refinements are either written in a separate…

Programming Languages · Computer Science 2026-05-12 Matt Bovel , Viktor Kunčak , Martin Odersky

Elixir is a functional programming language with dynamic typing. We propose a gradual type system that makes it possible to perform type-checking on a significant fragment of the language. An important feature of the type system is that it…

Programming Languages · Computer Science 2021-04-20 Mauricio Cassola , Agustín Talagorria , Alberto Pardo , Marcos Viera

We present {\lambda}ert, a type theory supporting refinement types with explicit proofs. Instead of solving refinement constraints with an SMT solver like DML and Liquid Haskell, our system requires and permits programmers to embed proofs…

Programming Languages · Computer Science 2023-11-27 Jad Elkhaleq Ghalayini , Neel Krishnaswami

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 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

In the impredicative type theory of System F ({\lambda}2), it is possible to create inductive data types, such as natural numbers and lists. It is also possible to create coinductive data types such as streams. They work well in the sense…

Logic in Computer Science · Computer Science 2025-05-21 Steven Bronsveld , Herman Geuvers , Niels van der Weide

Python type annotations enable static type checking, but most code remains untyped because manual annotation is time-consuming and tedious. Past approaches to automatic type inference fall short: static methods struggle with dynamic…

Programming Languages · Computer Science 2026-03-12 Juan Altmayer Pizzorno , Emery D. Berger

We consider the problem of type-directed component based synthesis where, given a set of (typed) components and a query type, the goal is to synthesize a term that inhabits the query. Classical approaches based on proof search in…

Programming Languages · Computer Science 2022-04-01 Zheng Guo , Michael James , David Justo , Jiaxiao Zhou , Ziteng Wang , Ranjit Jhala , Nadia Polikarpova

We propose InsNet, an expressive insertion-based text generator with efficient training and flexible decoding (parallel or sequential). Unlike most existing insertion-based text generation works that require re-encoding of the context after…

Computation and Language · Computer Science 2022-10-18 Sidi Lu , Tao Meng , Nanyun Peng

The field of query-by-example aims at inferring queries from output examples given by non-expert users, by finding the underlying logic that binds the examples. However, for a very small set of examples, it is difficult to correctly infer…

Databases · Computer Science 2020-08-21 Amir Gilad , Yuval Moskovitch

Typical JavaScript (JS) programs feature a large number of object property accesses. Hence, fast property reads and writes are crucial for good performance. Unfortunately, many (often redundant) dynamic checks are implied in each property…

Programming Languages · Computer Science 2015-07-10 Maxime Chevalier-Boisvert , Marc Feeley

Dynamic typing is an important feature of dynamic programming languages. Primitive operators such as those for performing arithmetic and comparisons typically operate on a wide variety of in put value types, and as such, must internally…

Programming Languages · Computer Science 2014-01-15 Maxime Chevalier-Boisvert , Marc Feeley

The task of obfuscating writing style using sequence models has previously been investigated under the framework of obfuscation-by-transfer, where the input text is explicitly rewritten in another style. These approaches also often lead to…

Computation and Language · Computer Science 2018-05-21 Chris Emmery , Enrique Manjavacas , Grzegorz Chrupała

One of the most attractive features of untyped languages is the flexibility in term creation and manipulation. However, with such power comes the responsibility of ensuring the correctness of these operations. A solution is adding run-time…

Programming Languages · Computer Science 2017-10-17 Nataliia Stulova , José F. Morales , Manuel V. Hermenegildo

This paper presents preliminary work on a general system for integrating dependent types into substructural type systems such as linear logic and linear type theory. Prior work on this front has generally managed to deliver type systems…

Logic in Computer Science · Computer Science 2024-01-30 C. B. Aberlé

Formal program specifications in the form of preconditions, postconditions, and class invariants have several benefits for the construction and maintenance of programs. They not only aid in program understanding due to their unambiguous…

Artificial Intelligence · Computer Science 2026-05-14 Chuyue Sun , Viraj Agashe , Saikat Chakraborty , Jubi Taneja , Clark Barrett , David Dill , Xiaokang Qiu , Shuvendu K. Lahiri