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This paper presents and extends our type theoretical framework for a compositional treatment of natural language semantics with some lexical features like coercions (e.g. of a town into a football club) and copredication (e.g. on a town as…

Logic in Computer Science · Computer Science 2013-05-06 Christian Retoré

Topology inference is a powerful tool to better understand the behaviours of network systems (NSs). Different from most of prior works, this paper is dedicated to inferring the directed topology of NSs from noisy observations, where the…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Qing Jiao , Yushan Li , Jianping He

Extending Large Language Models (LLMs) to advanced applications requires reliable structured output generation. Existing methods which often rely on rigid JSON schemas, can lead to unreliable outputs, diminished reasoning capabilities, and…

Computation and Language · Computer Science 2024-10-25 Chandra Irugalbandara

We present a general and user-extensible equality checking algorithm that is applicable to a large class of type theories. The algorithm has a type-directed phase for applying extensionality rules and a normalization phase based on…

Logic in Computer Science · Computer Science 2023-06-22 Andrej Bauer , Anja Petković Komel

To assist non-specialists in formulating database queries, multiple frameworks that automatically infer queries from a set of examples have been proposed. While highly useful, a shortcoming of the approach is that if users can only provide…

Databases · Computer Science 2016-05-17 Daniel Deutch , Amir Gilad

Automated unit test generation is an established research field that has so far focused on statically-typed programming languages. The lack of type information in dynamically-typed programming languages, such as Python, inhibits test…

Software Engineering · Computer Science 2025-07-03 Lukas Krodinger , Stephan Lukasczyk , Gordon Fraser

The Parameterised Model Checking Problem asks whether an implementation Impl(t) satisfies a specification Spec(t) for all instantiations of parameter t. In general, t can determine numerous entities: the number of processes used in a…

Logic in Computer Science · Computer Science 2015-07-01 Tomasz Mazur , Gavin Lowe

Erlang's dynamic typing discipline can lead to runtime errors that persist even after process restarts. Some of these runtime errors could be prevented through static type checking. While Erlang provides a type specification language, the…

Programming Languages · Computer Science 2026-03-24 Albert Schimpf , Stefan Wehr , Annette Bieniusa

Initial Semantics aims at interpreting the syntax associated to a signature as the initial object of some category of 'models', yielding induction and recursion principles for abstract syntax. Zsid\'o proves an initiality result for…

Logic in Computer Science · Computer Science 2015-07-01 Benedikt Ahrens

We develop a dependent type theory that is based purely on inductive and coinductive types, and the corresponding recursion and corecursion principles. This results in a type theory with a small set of rules, while still being fairly…

Logic in Computer Science · Computer Science 2016-05-10 Henning Basold , Herman Geuvers

Bernardy et al. [2018] proposed a linear type system $\lambda^q_\to$ as a core type system of Linear Haskell. In the system, linearity is represented by annotated arrow types $A \to_m B$, where $m$ denotes the multiplicity of the argument.…

Programming Languages · Computer Science 2020-02-20 Kazutaka Matsuda

**Context:** The design of static type systems that can validate dynamically-typed programs (**gradually**) is an ongoing challenge. A key difficulty is that dynamic code rarely follows datatype-driven design. Programs instead use runtime…

Programming Languages · Computer Science 2025-08-07 Hanwen Guo , Ben Greenman

Refinement types are types equipped with predicates that specify preconditions and postconditions of underlying functional languages. We propose a general semantic construction of dependent refinement type systems from underlying type…

Logic in Computer Science · Computer Science 2020-10-19 Satoshi Kura

The Julia programming language was designed to fill the needs of scientific computing by combining the benefits of productivity and performance languages. Julia allows users to write untyped scripts easily without needing to worry about…

Programming Languages · Computer Science 2023-10-27 Benjamin Chung

Typed Clojure is an optional type system for Clojure, a dynamic language in the Lisp family that targets the JVM. Typed Clojure enables Clojure programmers to gain greater confidence in the correctness of their code via static type checking…

Programming Languages · Computer Science 2018-12-11 Ambrose Bonnaire-Sergeant , Rowan Davies , Sam Tobin-Hochstadt

Elaboration-based type class resolution, as found in languages like Haskell, Mercury and PureScript, is generally nondeterministic: there can be multiple ways to satisfy a wanted constraint in terms of global instances and locally given…

Programming Languages · Computer Science 2019-07-16 Gert-Jan Bottu , Ningning Xie , Koar Marntirosian , Tom Schrijvers

Dependent types help programmers write highly reliable code. However, this reliability comes at a cost: it can be challenging to write new prototypes in (or migrate old code to) dependently-typed programming languages. Gradual typing makes…

Programming Languages · Computer Science 2019-08-23 Joseph Eremondi , Éric Tanter , Ronald Garcia

We present a framework for synthesising formulas in first-order logic (FOL) from examples, which unifies and advances state-of-the-art approaches for inference of transition system invariants. To do so, we study and categorise the existing…

Programming Languages · Computer Science 2026-01-08 Ziyi Yang , George Pîrlea , Ilya Sergey

We introduce a novel approach for testing static typing implementations based on the concept of API-driven program synthesis. The idea is to synthesize type-intensive but small and well-typed programs by leveraging and combining application…

Programming Languages · Computer Science 2023-11-09 Thodoris Sotiropoulos , Stefanos Chaliasos , Zhendong Su

While modern TTS technologies have made significant advancements in audio quality, there is still a lack of behavior naturalness compared to conversing with people. We propose a style-embedded TTS system that generates styled responses…

Sound · Computer Science 2020-09-23 Yang Gao , Weiyi Zheng , Zhaojun Yang , Thilo Kohler , Christian Fuegen , Qing He
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