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Recurrent Neural Network (RNN) and its variations such as Long Short-Term Memory (LSTM) and Gated Recurrent Unit (GRU), have become standard building blocks for learning online data of sequential nature in many research areas, including…

Computation and Language · Computer Science 2020-05-12 Enmao Diao , Jie Ding , Vahid Tarokh

We introduce a general theory of quantitative and metric rewriting systems, namely systems with a rewriting relation enriched over quantales modelling abstract quantities. We develop theories of abstract and term-based systems, refining…

Logic in Computer Science · Computer Science 2022-06-29 Francesco Gavazzo , Cecilia Di Florio

Unconstrained handwritten text recognition is a major step in most document analysis tasks. This is generally processed by deep recurrent neural networks and more specifically with the use of Long Short-Term Memory cells. The main drawbacks…

Computer Vision and Pattern Recognition · Computer Science 2020-12-10 Denis Coquenet , Clément Chatelain , Thierry Paquet

Large language model (LLM) based listwise reranking has emerged as the dominant paradigm for achieving state-of-the-art ranking effectiveness in information retrieval. However, its reliance on feeding full passage texts into the LLM…

Information Retrieval · Computer Science 2026-04-27 Xiaojie Ke , Shuai Zhang , Liansheng Sun , Yongjin Wang , Hengjun Jiang , Xiangkun Liu , Cunxin Gu , Jian Xu , Guanjun Jiang

We consider the problem of {\em restructuring} compressed texts without explicit decompression. We present algorithms which allow conversions from compressed representations of a string $T$ produced by any grammar-based compression…

Data Structures and Algorithms · Computer Science 2011-07-15 Keisuke Goto , Shirou Maruyama , Shunsuke Inenaga , Hideo Bannai , Hiroshi Sakamoto , Masayuki Takeda

The theory of finite and infinitary term rewriting is extensively developed for orthogonal rewrite systems, but to a lesser degree for weakly orthogonal rewrite systems. In this note we present some contributions to the latter case of weak…

Logic in Computer Science · Computer Science 2009-11-06 Joerg Endrullis , Clemens Grabmayer , Dimitri Hendriks , Jan Willem Klop

An inductive theorem proving method for constrained term rewriting systems, which is based on rewriting induction, needs a decision procedure for reduction-completeness of constrained terms. In addition, the sufficient complete property of…

Formal Languages and Automata Theory · Computer Science 2013-11-25 Naoki Nishida , Masahiko Sakai , Yasuhiro Nakano

Orthogonality is a discipline of programming that in a syntactic manner guarantees determinism of functional specifications. Essentially, orthogonality avoids, on the one side, the inherent ambiguity of non determinism, prohibiting the…

Logic in Computer Science · Computer Science 2013-04-01 Ana Cristina Rocha Oliveira , Mauricio Ayala-Rincón

Term graph rewriting provides a formalism for implementing term rewriting in an efficient manner by avoiding duplication. Infinitary term rewriting has been introduced to study infinite term reduction sequences. Such infinite reductions can…

Logic in Computer Science · Computer Science 2011-07-05 Patrick Bahr

Query rewriting is an effective technique for refining poorly written queries before they reach the query optimizer. However, manual rewriting is not scalable, as it is prone to errors and requires deep expertise. Traditional query…

Databases · Computer Science 2025-12-04 Jie Liu , Barzan Mozafari

Leftist grammars [Motwani et al., STOC 2000] are special semi-Thue systems where symbols can only insert or erase to their left. We develop a theory of leftist grammars seen as word transformers as a tool toward rigorous analyses of their…

Formal Languages and Automata Theory · Computer Science 2012-03-19 Pierre Chambart , Philippe Schnoebelen

Constructor rewriting systems are said to be cons-free if, roughly, constructor terms in the right-hand sides of rules are subterms of the left-hand sides; the computational intuition is that rules cannot build new data structures. In…

Computational Complexity · Computer Science 2023-06-22 Cynthia Kop , Jakob Grue Simonsen

Linear constraints are the linear counterpart of Haskell's class constraints. Linearly typed parameters allow the programmer to control resources such as file handles and manually managed memory as linear arguments. Indeed, a linear type…

Programming Languages · Computer Science 2026-04-24 Arnaud Spiwack , Csongor Kiss , Jean-Philippe Bernardy , Nicolas Wu , Richard A. Eisenberg

In this paper, we show a new approach to transformations of an imperative program with function calls and global variables into a logically constrained term rewriting system. The resulting system represents transitions of the whole…

Logic in Computer Science · Computer Science 2019-02-25 Yoshiaki Kanazawa , Naoki Nishida

We present a translation function from nominal rewriting systems (NRSs) to combinatory reduction systems (CRSs), transforming closed nominal rules and ground nominal terms to CRSs rules and terms, respectively, while preserving the…

Logic in Computer Science · Computer Science 2017-01-11 Jesús Domínguez , Maribel Fernández

Recently, many techniques have been introduced that allow the (automated) classification of the runtime complexity of term rewrite systems (TRSs for short). In earlier work, the authors have shown that for confluent TRSs, innermost…

Computational Complexity · Computer Science 2011-06-09 Martin Avanzini , Georg Moser

Query rewriting plays a vital role in enhancing conversational search by transforming context-dependent user queries into standalone forms. Existing approaches primarily leverage human-rewritten queries as labels to train query rewriting…

Human-Computer Interaction · Computer Science 2023-10-19 Fanghua Ye , Meng Fang , Shenghui Li , Emine Yilmaz

When can two sequential steps performed by a computing device be considered (causally) independent? This is a relevant question for concurrent and distributed systems, since independence means that they could be executed in any order, and…

Logic in Computer Science · Computer Science 2024-07-09 Paolo Baldan , Davide Castelnovo , Andrea Corradini , Fabio Gadducci

Handling long-range dependencies in neural architectures has remained a persistent challenge due to computational limitations and inefficient contextual retention mechanisms. Tensorial operations have provided a foundation for restructuring…

Computation and Language · Computer Science 2025-08-11 Larin Tonix , Morgana Baskerville , Nathaniel Stourton , Ophelia Tattershall

Rewriting is a formalism widely used in computer science and mathematical logic. The classical formalism has been extended, in the context of functional languages, with an order over the rules and, in the context of rewrite based languages,…

Logic in Computer Science · Computer Science 2019-06-12 Horatiu Cirstea , Pierre-Etienne Moreau