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We introduce a framework that allows for the construction of sequent systems for expressive description logics extending ALC. Our framework not only covers a wide array of common description logics, but also allows for sequent systems to be…

计算机科学中的逻辑 · 计算机科学 2022-06-22 Tim Lyon , Jonas Karge

Results of computational complexity exist for a wide range of phrase structure-based grammar formalisms, while there is an apparent lack of such results for dependency-based formalisms. We here adapt a result on the complexity of…

cmp-lg · 计算机科学 2008-02-03 Peter Neuhaus , Norbert Broeker

Parsing Expression Grammars (PEGs) define languages by specifying recursive-descent parser that recognises them. The PEG formalism exhibits desirable properties, such as closure under composition, built-in disambiguation, unification of…

编程语言 · 计算机科学 2016-09-20 Nicolas Laurent , Kim Mens

Compositional generalization is the ability of a model to generalize to complex, previously unseen types of combinations of entities from just having seen the primitives. This type of generalization is particularly relevant to the semantic…

计算与语言 · 计算机科学 2024-04-23 Amogh Mannekote

Natural language is characterized by compositionality: the meaning of a complex expression is constructed from the meanings of its constituent parts. To facilitate the evaluation of the compositional abilities of language processing…

计算与语言 · 计算机科学 2020-10-13 Najoung Kim , Tal Linzen

To appear in Theory and Practice of Logic Programming (TPLP). Tabling is a commonly used technique in logic programming for avoiding cyclic behavior of logic programs and enabling more declarative program definitions. Furthermore, tabling…

编程语言 · 计算机科学 2020-02-19 Thepfrastos Mantadelis , Ricardo Rocha , Paulo Moura

A generalized lexicographical order on infinite words is defined by choosing for each position a total order on the alphabet. This allows to define generalized Lyndon words. Every word in the free monoid can be factorized in a unique way as…

离散数学 · 计算机科学 2018-12-12 Francesco Dolce , Antonio Restivo , Christophe Reutenauer

Propositional term modal logic is interpreted over Kripke structures with unboundedly many accessibility relations and hence the syntax admits variables indexing modalities and quantification over them. This logic is undecidable, and we…

计算机科学中的逻辑 · 计算机科学 2019-01-01 Anantha Padmanabha , R Ramanujam

By virtue of linguistic compositionality, few syntactic rules and a finite lexicon can generate an unbounded number of sentences. That is, language, though seemingly high-dimensional, can be explained using relatively few degrees of…

计算与语言 · 计算机科学 2025-06-18 Jin Hwa Lee , Thomas Jiralerspong , Lei Yu , Yoshua Bengio , Emily Cheng

We study two extensions of FO2[<], first-order logic interpreted in finite words, in which formulas are restricted to use only two variables. We adjoin to this language two-variable atomic formulas that say, "the letter $a$ appears between…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Andreas Krebs , Kamal Lodaya , Paritosh K. Pandya , Howard Straubing

This document contains a description of a Common Lisp extension that allows a programmer to write functional programs that use "normal order" evaluation, as in "non-strict" languages like Haskell. The extension is relatively…

编程语言 · 计算机科学 2014-12-04 Marco Antoniotti

For a class L of languages let PDL[L] be an extension of Propositional Dynamic Logic which allows programs to be in a language of L rather than just to be regular. If L contains a non-regular language, PDL[L] can express non-regular…

计算机科学中的逻辑 · 计算机科学 2011-06-08 Markus Latte

We derive an intuitionistic version of G\"odel-L\"ob modal logic ($\sf{GL}$) in the style of Simpson, via proof theoretic techniques. We recover a labelled system, $\sf{\ell IGL}$, by restricting a non-wellfounded labelled system for…

计算机科学中的逻辑 · 计算机科学 2023-09-04 Anupam Das , Iris van der Giessen , Sonia Marin

In this paper, we explore the concept of modularity in first-order answer set programming (ASP). We introduce a new formalism called parametric modular logic programs, which allows defining subprograms with parameters and intensionality…

人工智能 · 计算机科学 2026-05-22 Jorge Fandinno , Yuliya Lierler , Torsten Schaub

Nonmonotonic logics are usually characterized by the presence of some notion of 'conditional' that fails monotonicity. Research on nonmonotonic logics is therefore largely concerned with the defeasibility of argument forms and the…

计算机科学中的逻辑 · 计算机科学 2013-10-29 Katarina Britz , Ivan Varzinczak

We consider (logical) reasoning for regular expressions with lookahead (REwLA). In this paper, we give an axiomatic characterization for both the (match-)language equivalence and the largest substitution-closed equivalence that is sound for…

计算机科学中的逻辑 · 计算机科学 2026-02-11 Yoshiki Nakamura

Consider a linear ordering equipped with a finite sequence of monadic predicates. If the ordering contains an interval of order type \omega or -\omega, and the monadic second-order theory of the combined structure is decidable, there exists…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Alexis Bes , Alexander Rabinovich

Language serves as a vehicle for conveying thought, enabling communication among individuals. The ability to distinguish between diverse concepts, identify fairness and injustice, and comprehend a range of legal notions fundamentally relies…

计算与语言 · 计算机科学 2023-11-23 Ha-Thanh Nguyen , Wachara Fungwacharakorn , Ken Satoh

Parsing Expression Grammars (PEGs) are a formalism that can describe all deterministic context-free languages through a set of rules that specify a top-down parser for some language. PEGs are easy to use, and there are efficient…

形式语言与自动机理论 · 计算机科学 2014-02-17 Sérgio Medeiros , Fabio Mascarenhas , Roberto Ierusalimschy

In this article we undertake a study of extension complexity from the perspective of formal languages. We define a natural way to associate a family of polytopes with binary languages. This allows us to define the notion of extension…

计算复杂性 · 计算机科学 2019-08-29 Hans Raj Tiwary