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Ten years ago, it was shown that nominal techniques can be used to design coalgebraic data types with variable binding, so that alpha-equivalence classes of infinitary terms are directly endowed with a corecursion principle. We introduce…

Logic in Computer Science · Computer Science 2025-11-05 Rémy Cerda

Current neural architectures lack a principled way to handle interchangeable tokens, i.e., symbols that are semantically equivalent yet distinguishable, such as bound variables. As a result, models trained on fixed vocabularies often…

Machine Learning · Computer Science 2026-02-02 İlker Işık , Wenchao Li

Logics and automata models for languages over infinite alphabets, such as Freeze LTL and register automata, serve the verification of processes or documents with data. They relate tightly to formalisms over nominal sets, such as…

Formal Languages and Automata Theory · Computer Science 2021-08-23 Daniel Hausmann , Stefan Milius , Lutz Schröder

Nominal techniques provide a mathematically principled approach to dealing with names and variable binding in programming languages. This paper explores an attempt to make nominal techniques accessible as an Agda library. We aim for a…

Programming Languages · Computer Science 2026-03-05 Murdoch J. Gabbay , Orestis Melkonian

The Unified Modeling Language is extensible, and so can be regarded as a family of languages. Implicitly or explicitly, any particular UML model should be accompanied by a definition of the particular UML family member used for the model.…

Software Engineering · Computer Science 2014-09-25 Steve Cook , Anneke Kleppe , Richard Mitchell , Bernhard Rumpe , Jos Warmer , Alan Wills

Narrowing extends term rewriting with the ability to search for solutions to equational problems. While first-order rewriting and narrowing are well studied, significant challenges arise in the presence of binders, freshness conditions and…

Logic in Computer Science · Computer Science 2025-05-22 Maribel Fernández , Daniele Nantes-Sobrinho , Daniella Santaguida

Nominal logic is a variant of first-order logic that provides support for reasoning about bound names in abstract syntax. A key feature of nominal logic is the new-quantifier, which quantifies over fresh names (names not appearing in any…

Logic in Computer Science · Computer Science 2013-12-18 James Cheney

Scientific names of organisms consist of a genus name and a species epithet, with the latter often reflecting aspects such as morphology, ecology, distribution, and cultural background. Traditionally, researchers have manually labeled…

Computation and Language · Computer Science 2026-01-13 Keito Inoshita , Kota Nojiri , Haruto Sugeno , Takumi Taga

Nominal Isabelle is a definitional extension of the Isabelle/HOL theorem prover. It provides a proving infrastructure for reasoning about programming language calculi involving named bound variables (as opposed to de-Bruijn indices). In…

Logic in Computer Science · Computer Science 2015-07-01 Christian Urban , Cezary Kaliszyk

Concise and meaningful method names are crucial for program comprehension and maintenance. However, method names may become inconsistent with their corresponding implementations, causing confusion and errors. Several deep learning…

Software Engineering · Computer Science 2025-01-23 Taiming Wang , Yuxia Zhang , Lin Jiang , Yi Tang , Guangjie Li , Hui Liu

Techniques are developed for creating new and general language families of only semilinear languages, and for showing families only contain semilinear languages. It is shown that for language families L that are semilinear full trios, the…

Formal Languages and Automata Theory · Computer Science 2022-12-05 Oscar H. Ibarra , Ian McQuillan

This paper describes experiments on identifying the language of a single name in isolation or in a document written in a different language. A new corpus has been compiled and made available, matching names against languages. This corpus is…

Computation and Language · Computer Science 2007-10-09 Stasinos Konstantopoulos

Nominal logic is an extension of first-order logic which provides a simple foundation for formalizing and reasoning about abstract syntax modulo consistent renaming of bound names (that is, alpha-equivalence). This article investigates…

Programming Languages · Computer Science 2008-09-15 James Cheney , Christian Urban

In this paper we describe how to leverage higher-order unification to type check a dependently typed language with meta-variables. The literature usually presents the unification algorithm as a standalone component, however the need to…

Programming Languages · Computer Science 2016-10-03 Francesco Mazzoli , Andreas Abel

Nominal unification is an extension of first-order unification that takes into account the \alpha-equivalence relation generated by binding operators, following the nominal approach. We propose a sound and complete procedure for nominal…

Programming Languages · Computer Science 2017-09-19 Mauricio Ayala-Rincón , Washington de Carvalho-Segundo , Maribel Fernández , Daniele Nantes-Sobrinho

Haskell is a popular choice for hosting deeply embedded languages. A recurring challenge for these embeddings is how to seamlessly integrate user defined algebraic data types. In particular, one important, convenient, and expressive feature…

Programming Languages · Computer Science 2022-08-01 Trevor L. McDonell , Joshua D. Meredith , Gabriele Keller

Over the past thirty years, there has been significant progress in developing general-purpose, language-based approaches to incremental computation, which aims to efficiently update the result of a computation when an input is changed. A…

Programming Languages · Computer Science 2021-03-24 Matthew A. Hammer , Jana Dunfield , Kyle Headley , Nicholas Labich , Jeffrey S. Foster , Michael Hicks , David Van Horn

Name matching is a key component of systems for entity resolution or record linkage. Alternative spellings of the same names are a com- mon occurrence in many applications. We use the largest collection of genealogy person records in the…

Information Retrieval · Computer Science 2014-05-09 Jeffrey Sukharev , Leonid Zhukov , Alexandrin Popescul

We investigate an extension of nominal many-sorted signatures in which abstraction has a form of instantiation, called generalised concretion, as elimination operator (similarly to lambda-calculi). Expressions are then classified using a…

Logic in Computer Science · Computer Science 2025-10-15 Maribel Fernández , Miguel Pagano , Nora Szasz , Álvaro Tasistro

In historical linguistics, the affiliation of languages to a common language family is traditionally carried out using a complex workflow that relies on manually comparing individual languages. Large-scale standardized collections of…

Computation and Language · Computer Science 2025-12-09 Frederic Blum , Steffen Herbold , Johann-Mattis List