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A theoretical formalism leading to elegant derivation of formulae for all spin observables is outlined for photo production of mesons with arbitrary spin parity $s^{\pi}$. The salient features of this formalism based on irreducible tensor…

Nuclear Theory · Physics 2008-11-26 G. Ramachandran , M. S. Vidya , J. Balasubramanyam

ALHEP is the symbolic algebra program for high-energy physics. It deals with amplitudes calculation, matrix element squaring, Wick theorem, dimensional regularization, tensor reduction of loop integrals and simplification of final…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Makarenko

We outline a program in the area of formalization of mathematics to automate theorem proving in algebra and algebraic geometry. We propose a construction of a dictionary between automated theorem provers and (La)TeX exploiting syntactic…

Artificial Intelligence · Computer Science 2016-10-05 Przemyslaw Chojecki

An algorithm for the automatic Feynman diagram (FD) generation is presented in this paper. The algorithm starts directly from the definition formula of FD, and is simple in concept and easy for coding. The symmetry factor for each FD is…

High Energy Physics - Phenomenology · Physics 2013-05-14 Bo Xiao , Hao Wang , Shou-hua Zhu

Code generation, defined as automatically writing a piece of code to solve a given problem for which an evaluation function exists, is a classic hard AI problem. Its general form, writing code using a general language used by human…

Artificial Intelligence · Computer Science 2020-07-29 Jacques Basaldúa

For deterministic and probabilistic programs we investigate the problem of program synthesis and program optimisation (with respect to non-functional properties) in the general setting of global optimisation. This approach is based on the…

Programming Languages · Computer Science 2014-07-22 Herbert Wiklicky

Automatically generating formal specifications including loop invariants, preconditions, and postconditions for legacy code is critical for program understanding, reuse and verification. However, the inherent complexity of control and data…

Software Engineering · Computer Science 2026-01-21 Fanpeng Yang , Xu Ma , Shuling Wang , Xiong Xu , Qinxiang Cao , Naijun Zhan , Xiaofeng Li , Bin Gu

We introduce data structures and algorithms to count numerical inaccuracies arising from usage of floating numbers described in IEEE 754. Here we describe how to estimate precision for some collection of functions most commonly used for…

Numerical Analysis · Mathematics 2024-03-26 Igor V. Netay

Algorithms for computing rational generating functions of solutions of one-dimensional difference equations are well-known and easy to implement. We propose an algorithm for computing rational generating functions of solutions of…

Combinatorics · Mathematics 2019-11-05 Alexey A. Kytmanov , Alexander P. Lyapin , Timur M. Sadykov

Probabilistic Logic Programming is an effective formalism for encoding problems characterized by uncertainty. Some of these problems may require the optimization of probability values subject to constraints among probability distributions…

Logic in Computer Science · Computer Science 2023-06-22 Damiano Azzolini , Fabrizio Riguzzi

The concept of signature is a useful tool in the analysis of semicoherent systems with continuous and i.i.d. component lifetimes, especially for the comparison of different system designs and the computation of the system reliability. For…

Probability · Mathematics 2015-07-23 Jean-Luc Marichal

This work introduces self-infilling code generation, a general framework that incorporates infilling operations into auto-regressive decoding. Our approach capitalizes on the observation that recent infilling-capable code language models…

Programming Languages · Computer Science 2024-05-28 Lin Zheng , Jianbo Yuan , Zhi Zhang , Hongxia Yang , Lingpeng Kong

Large Language Models (LLMs) have shown remarkable capabilities in code generation tasks, yet they face significant limitations in handling complex, long-context programming challenges and demonstrating complex compositional reasoning…

Artificial Intelligence · Computer Science 2025-01-14 Amr Almorsi , Mohanned Ahmed , Walid Gomaa

We present a benchmark dataset for evaluating method-level code generation task. The benchmark contains a dataset of 175 samples for automated evaluation and a dataset of 161 samples for manual evaluation. We also present a new metric for…

Software Engineering · Computer Science 2022-07-22 Yiyang Hao , Ge Li , Yongqiang Liu , Xiaowei Miao , He Zong , Siyuan Jiang , Yang Liu , He Wei

We aim for composing algorithmic music in an interactive way with multiple participants. To this end we have developed an interpreter for a sub-language of the non-strict functional programming language Haskell that allows the modification…

Programming Languages · Computer Science 2013-03-26 Henning Thielemann

We present an approach for representing abstract argumentation frameworks based on an encoding into classical higher-order logic. This provides a uniform framework for computer-assisted assessment of abstract argumentation frameworks using…

Artificial Intelligence · Computer Science 2021-10-19 Alexander Steen , David Fuenmayor

Quantum algorithm involves the manipulation of amplitudes and computational basis, of which manipulating basis is largely a quantum analogue of classical computing that is always a major contributor to the complexity. In order to make full…

Recent studies have adopted pre-trained language models, such as CodeT5 and CodeGPT, for automated program generation tasks like code generation, repair, and translation. Numerous language model-based approaches have been proposed and…

Software Engineering · Computer Science 2024-01-09 Yue Liu , Chakkrit Tantithamthavorn , Yonghui Liu , Li Li

Auxiliary function is a helpful component to improve language model's code generation ability. However, a systematic exploration of how they affect has yet to be done. In this work, we comprehensively evaluate the ability to utilize…

Software Engineering · Computer Science 2024-03-19 Seonghyeon Lee , Sanghwan Jang , Seongbo Jang , Dongha Lee , Hwanjo Yu

We present GoSam 2.0, a fully automated framework for the generation and evaluation of one loop amplitudes in multi leg processes. The new version offers numerous improvements both on generational aspects as well as on the reduction side.…

High Energy Physics - Phenomenology · Physics 2014-10-14 Nicolas Greiner
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