Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: New transformation with burstons, brightons and symbolic computation

B Tian, YT Gao - Physics Letters A, 2006 - Elsevier
… In this Letter, by virtue of symbolic computation, we will construct a new transformation
with constraints on the variable coefficients, from the vcHNLS model to its known constant-…

Higher-order symbolic execution via contracts

S Tobin-Hochstadt, D Van Horn - … of the ACM international conference on …, 2012 - dl.acm.org
higher-order programming is that computation is data, we propose symbolic execution of
higher-order … Our approach to higher-order symbolic execution therefore combines specification…

[PDF][PDF] From Symbolic Computation to Super-Symbolic Computation

M Burgin, R Mikkilineni - EasyChair Preprint, 2021 - easychair.org
… In this work we argue that super-symbolic computation adds one more … , symbolic and
super-symbolic computations and advance the current state of the art IT with higher-order

Symbolic computation: Computer algebra and logic

B Buchberger - Frontiers of Combining Systems: First International …, 1996 - Springer
… be the next step in the development of symbolic computation systems. The main point is that
… We discuss higher order logic without extensionality and with set theory as a sub theory as …

… -coefficient higher-order nonlinear Schrödinger model in optical fibers: variable-coefficient bilinear form, Bäcklund transformation, brightons and symbolic computation

B Tian, YT Gao, HW Zhu - Physics Letters A, 2007 - Elsevier
… (1) into a variable-coefficient bilinear form via symbolic computation and then construct an
… (1), we perform symbolic computation to get(3) i G F d A d z + i A F 2 D z G ⋅ F + d ( z ) A F 2 …

Higher order symbolic execution for contract verification and refutation

PC Nguyen, S Tobin-Hochstadt… - Journal of Functional …, 2017 - cambridge.org
higher-order programs by endowing symbolic execution with a notion of higher-order, symbolic
… relation between behavioral contracts and higherorder symbolic execution. Contracts aid …

Neural-symbolic computing: An effective methodology for principled integration of machine learning and reasoning

AA Garcez, M Gori, LC Lamb, L Serafini… - arXiv preprint arXiv …, 2019 - arxiv.org
… Penalty logic constructs a higher-order Hopfield network as shown in Figure 3a. However,
inference with such type of network is difficult, while converting the higher-order energy …

[BOOK][B] Solving higher-order equations: from logic to programming

C Prehofer - 1998 - books.google.com
… of higher-order rewriting. In the setting of higher-order rewriting, we develop higher-order
Based on narrowing, our methods for higher-order equational reasoning generalize and …

Symbolic analysis of higher-order side channel countermeasures

E Bisi, F Melzani, V Zaccaria - IEEE Transactions on Computers, 2016 - ieeexplore.ieee.org
… of efficiently assessing the higher order vulnerability of a hardware … problem to a purely
symbolical one and then provide a … method to analyze a realistic higher order countermeasure. …

Optical higher-order symbolic recognition

G Eichmann, A Kostrzewski, DH Kim, Y Li - Applied optics, 1990 - opg.optica.org
… The search for a particular symbol (characterized by the input index number k) among an
aggregate of M higher-order symbols requires an array of M and gates, where each gate is an …