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A fundamental theme in automata theory is regular languages of words and trees, and their many equivalent definitions. Salvati has proposed a generalization to regular languages of simply typed $\lambda$-terms, defined using denotational…

Logic in Computer Science · Computer Science 2024-02-09 Vincent Moreau , Lê Thành Dũng Nguyên

The possibility of translating logic programs into functional ones has long been a subject of investigation. Common to the many approaches is that the original logic program, in order to be translated, needs to be well-moded and this has…

Programming Languages · Computer Science 2007-05-23 S. Etalle , J. Mountjoy

Type-and-effect systems incorporate information about the computational effects, e.g., state mutation, probabilistic choice, or I/O, a program phrase may invoke alongside its return value. A semantics for type-and-effect systems involves a…

Programming Languages · Computer Science 2018-04-11 Ohad Kammar , Dylan McDermott

Gradually typed programming languages, which allow for soundly mixing static and dynamically typed programming styles, present a strong challenge for metatheorists. Even the simplest sound gradually typed languages feature at least…

Programming Languages · Computer Science 2025-07-14 Eric Giovannini , Tingting Ding , Max S. New

We study regular expressions that use variables, or parameters, which are interpreted as alphabet letters. We consider two classes of languages denoted by such expressions: under the possibility semantics, a word belongs to the language if…

Formal Languages and Automata Theory · Computer Science 2015-03-19 Pablo Barceló , Leonid Libkin , Juan Reutter

Prompt programming treats large language model prompts as software components with typed interfaces. Based on a literature survey of 15 recent works from 2023 to 2025, we observe a consistent trend: type systems are central to emerging…

Programming Languages · Computer Science 2025-08-19 Abhijit Paul

The notion of a real-valued function is central to mathematics, computer science, and many other scientific fields. Despite this importance, there are hardly any positive results on decision procedures for predicate logical theories that…

Logic in Computer Science · Computer Science 2025-04-30 Stefan Ratschan

Programming languages with algebraic effects often track the computations' effects using type-and-effect systems. In this paper, we propose to view an algebraic effect theory of a computation as a variable context; consequently, we propose…

Programming Languages · Computer Science 2021-08-24 Nikita Zyuzin , Aleksandar Nanevski

We study expression learning problems with syntactic restrictions and introduce the class of finite-aspect checkable languages to characterize symbolic languages that admit decidable learning. The semantics of such languages can be defined…

Logic in Computer Science · Computer Science 2023-03-22 Paul Krogmeier , P. Madhusudan

The evolution of grammatical systems of syntactic and semantic composition is modeled here with a novel application of reinforcement learning theory. To test the functionalist thesis that speakers' expressive purposes shape their language,…

Computation and Language · Computer Science 2025-03-04 Stephen Wechsler , James W. Shearer , Katrin Erk

Much of the success of modern language models depends on finding a suitable prompt to instruct the model. Until now, it has been largely unknown how variations in the linguistic expression of prompts affect these models. This study…

Computation and Language · Computer Science 2026-02-17 Jan Philip Wahle , Terry Ruas , Yang Xu , Bela Gipp

Syntactic structures used to play a vital role in natural language processing (NLP), but since the deep learning revolution, NLP has been gradually dominated by neural models that do not consider syntactic structures in their design. One…

Computation and Language · Computer Science 2023-11-28 Haoyi Wu , Kewei Tu

Defeasible reasoning is a simple but efficient approach to nonmonotonic reasoning that has recently attracted considerable interest and that has found various applications. Defeasible logic and its variants are an important family of…

Logic in Computer Science · Computer Science 2012-06-26 Grigoris Antoniou , David Billington , Guido Governatori , Michael J. Maher

Prompting is a mainstream paradigm for adapting large language models to specific natural language processing tasks without modifying internal parameters. Therefore, detailed supplementary knowledge needs to be integrated into external…

Computation and Language · Computer Science 2024-12-03 Kaiyan Chang , Songcheng Xu , Chenglong Wang , Yingfeng Luo , Xiaoqian Liu , Tong Xiao , Jingbo Zhu

Topics models, such as LDA, are widely used in Natural Language Processing. Making their output interpretable is an important area of research with applications to areas such as the enhancement of exploratory search interfaces and the…

Computation and Language · Computer Science 2019-04-01 Areej Alokaili , Nikolaos Aletras , Mark Stevenson

This thesis is intended to provide an account of the theory and applications of Operational Methods that allow the "translation" of the theory of special functions and polynomials into a "different" mathematical language. The language we…

Classical Analysis and ODEs · Mathematics 2018-03-09 Silvia Licciardi

Traditional linguistic theories have largely regard language as a formal system composed of rigid rules. However, their failures in processing real language, the recent successes in statistical natural language processing, and the findings…

Computation and Language · Computer Science 2020-12-02 Shuiyuan Yu , Chunshan Xu , Haitao Liu

Many interesting and useful symbolic computation algorithms manipulate mathematical expressions in mathematically meaningful ways. Although these algorithms are commonplace in computer algebra systems, they can be surprisingly difficult to…

Logic in Computer Science · Computer Science 2019-05-07 Jacques Carette , William M. Farmer

As is evident in the programming language literature, many practitioners favor specifying dynamic program behavior using big-step over small-step semantics. Unlike small-step semantics, which must dwell on every intermediate program state,…

Programming Languages · Computer Science 2025-10-23 David M Kahn , Jan Hoffmann , Runming Li

The primary goal of this paper is to present a unified way to transform the syntax of a logic system into certain initial algebraic structure so that it can be studied algebraically. The algebraic structures which one may choose for this…

Logic in Computer Science · Computer Science 2008-10-20 Zhaohua Luo