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This thesis is devoted to the study of a calculus that describes the application of conditional rewriting rules and the obtained results at the same level of representation. We introduce the rewriting calculus, also called the rho-calculus,…

Symbolic Computation · Computer Science 2007-05-23 Horatiu Cirstea

Dynamically typed programming languages like R allow programmers to write generic, flexible and concise code and to interact with the language using an interactive Read-eval-print-loop (REPL). However, this flexibility has its price: As the…

Computation · Statistics 2021-01-14 Michel Lang

Parsing Expression Grammars are a popular foundation for describing syntax. Unfortunately, several syntax of programming languages are still hard to recognize with pure PEGs. Notorious cases appears: typedef-defined names in C/C++,…

Programming Languages · Computer Science 2015-11-30 Tetsuro Matsumura , Kimio Kuramitsu

Probabilistic circuits (PCs) are a unifying representation for probabilistic models that support tractable inference. Numerous applications of PCs like controllable text generation depend on the ability to efficiently multiply two circuits.…

Artificial Intelligence · Computer Science 2025-05-01 Honghua Zhang , Benjie Wang , Marcelo Arenas , Guy Van den Broeck

Probabilistic Circuits (PCs) are a promising avenue for probabilistic modeling. They combine advantages of probabilistic graphical models (PGMs) with those of neural networks (NNs). Crucially, however, they are tractable probabilistic…

Machine Learning · Computer Science 2021-06-07 Anji Liu , Guy Van den Broeck

The Turing machine is one of the simple abstract computational devices that can be used to investigate the limits of computability. In this paper, they are considered from several points of view that emphasize the importance and the…

Computational Complexity · Computer Science 2012-03-16 Yaroslav D. Sergeyev , Alfredo Garro

Regular expression (RE) matching is a very common functionality that scans a text to find occurrences of patterns specified by an RE; it includes the simpler function of RE recognition. Here we address RE parsing, which subsumes matching by…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-11 Angelo Borsotti , Luca Breveglieri , Stefano Crespi Reghizzi , Angelo Morzenti

Compiler optimizations, usually expressed as rewrites on program graphs, are a core part of all modern compilers. However, even production compilers have bugs, and these bugs are difficult to detect and resolve. The problem only becomes…

Programming Languages · Computer Science 2014-07-31 William Mansky , Dennis Griffith , Elsa L. Gunter

Process algebra ACP based on the interleaving semantics can not be reversed. We design a reversible version of APTC called RAPTC. It has algebraic laws of reversible choice, sequence, parallelism, communication, silent step and abstraction,…

Logic in Computer Science · Computer Science 2018-05-03 Yong Wang

While each computer algebra system (CAS) contains its own unique syntax for inputting mathematical expressions, LaTeX is perhaps the most widespread language for typesetting mathematics. NRPyLaTeX (NL) enables direct LaTeX input of complex…

General Relativity and Quantum Cosmology · Physics 2022-05-16 Kenneth J. Sible , Zachariah B. Etienne

We present TEGCER, an automated feedback tool for novice programmers. TEGCER uses supervised classification to match compilation errors in new code submissions with relevant pre-existing errors, submitted by other students before. The dense…

Software Engineering · Computer Science 2019-10-28 Umair Z. Ahmed , Renuka Sindhgatta , Nisheeth Srivastava , Amey Karkare

Existing Programming-By-Example (PBE) systems often rely on simplified benchmarks that fail to capture the high structural complexity-such as deeper nesting and frequent Unions-of real-world regexes. To overcome the resulting performance…

Programming Languages · Computer Science 2026-03-27 Seongmin Kim , Hyunjoon Cheon , Su-Hyeon Kim , Yo-Sub Han , Sang-Ki Ko

Referring Expression Comprehension (REC), which aims to ground a local visual region via natural language, is a task that heavily relies on multimodal alignment. Most existing methods utilize powerful pre-trained models to transfer…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Ting Liu , Zunnan Xu , Yue Hu , Liangtao Shi , Zhiqiang Wang , Quanjun Yin

Transformer training systems are built around dense linear algebra, yet a nontrivial fraction of end-to-end time is spent on surrounding memory-bound operators. Normalization, activations, residual updates, reductions, and related…

Machine Learning · Computer Science 2026-05-21 Han Guo , Jack Zhang , Arjun Menon , Driss Guessous , Vijay Thakkar , Yoon Kim , Tri Dao

We present a computational model for Parsing Expression Grammars (PEGs). The predecessor of PEGs top-down parsing languages (TDPLs) were discovered by A. Birman and J. Ullman in the 1960-s, B. Ford showed in 2004 that both formalisms…

Formal Languages and Automata Theory · Computer Science 2024-09-06 Alexander Rubtsov , Nikita Chudinov

Classical circuit complexity characterizes parallel computation in purely combinatorial terms, ignoring the physical constraints that govern real hardware. The standard classes $\mathbf{NC}$, $\mathbf{AC}$, and $\mathbf{TC}$ treat unlimited…

Computational Complexity · Computer Science 2025-11-11 Benjamin Prada , Ankur Mali

While the ``deep reasoning'' paradigm has spurred significant advances in verifiable domains like mathematics, its application to open-ended, creative generation remains a critical challenge. The two dominant methods for instilling…

Artificial Intelligence · Computer Science 2025-09-09 Haozhe Wang , Haoran Que , Qixin Xu , Minghao Liu , Wangchunshu Zhou , Jiazhan Feng , Wanjun Zhong , Wei Ye , Tong Yang , Wenhao Huang , Ge Zhang , Fangzhen Lin

Regular functions from infinite words to infinite words can be equivalently specified by MSO-transducers, streaming $\omega$-string transducers as well as deterministic two-way transducers with look-ahead. In their one-way restriction, the…

Formal Languages and Automata Theory · Computer Science 2024-09-19 V. Dave , E. Filiot , S. Krishna , N. Lhote

Adaptive exercise recommendation (ER) aims to choose the next activity that matches a learner's evolving Zone of Proximal Development (ZPD). We present KUL-Rec, a biologically inspired ER system that couples a fast Hebbian memory with slow…

Computers and Society · Computer Science 2025-11-18 Grey Kuling , Marinka Zitnik

A generic computation of a subset $A$ of $\mathbb{N}$ is a computation which correctly computes most of the bits of $A$, but which potentially does not halt on all inputs. The motivation for this concept is derived from complexity theory,…

Logic · Mathematics 2014-02-18 Gregory Igusa