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Certified Quantum Computation in Isabelle/HOL
Abstract: In this article we present an ongoing effort to formalise quantum algorithms and results in quantum information theory using the proof assistant Isabelle/HOL. Formal methods being critical for the safety and security...
From LCF to Isabelle/HOL
Interactive theorem provers have developed dramatically over the past four
decades, from primitive beginnings to today's powerful systems. Here, we focus
on Isabelle/HOL and its distinctive strengths. They include automatic...
An Isabelle/HOL formalisation of Green’s theorem
We formalise a statement of Green’s theorem in Isabelle/ HOL, which is its first formalisation to our knowledge. The theorem statement that we formalise is enough for most applications, especially in physics and engineering. An...
Formalising Mathematics – in Praxis; A Mathematician’s First Experiences with Isabelle/HOL and the Why and How of Getting Started
Abstract This is an account of a mathematician’s first experiences with the proof assistant (interactive theorem prover) Isabelle/HOL, including a discussion on the rationale behind formalising...
A Koutsoukou-Argyraki
Oct 06, 2021
Formalising Mathematics – in Praxis; A Mathematician’s First Experiences with Isabelle/HOL and the Why and How of Getting Started
Angeliki Koutsoukou-Argyraki
Jan 21, 2021
Abstract: This is an account of a mathematician’s first experiences with the proof assistant (interactive theorem prover) Isabelle/HOL, including a discussion on the rationale behind formalising mathematics and the choice of...
Formalising Szemerédi’s Regularity Lemma and Roth’s Theorem on Arithmetic Progressions in Isabelle/HOL
Abstract We have formalised Szemerédi’s Regularity Lemma and Roth’s Theorem on Arithmetic Progressions, two major results in extremal graph theory and additive combinatorics, using the proof...
Evaluating Winding Numbers and Counting Complex Roots Through Cauchy Indices in Isabelle/HOL.
In complex analysis, the winding number measures the number of times a path (counter-clockwise) winds around a point, while the Cauchy index can approximate how the path winds. We formalise this approximation in the Isabelle...
Computer Algebra Winding Number Isabelle/HOL Interactive theorem proving Root Counting Cauchy Index The Routh–hurwitz Stability Criterion
Published by: Journal of automated reasoning
Evaluating Winding Numbers and Counting Complex Roots Through Cauchy Indices in Isabelle/HOL
Abstract: In complex analysis, the winding number measures the number of times a path (counter-clockwise) winds around a point, while the Cauchy index can approximate how the path winds. We formalise this approximation in the...
Sniff-synchronized, gradient-guided olfactory search by freely moving mice.
Teresa M Findley, David G Wyrick, Jennifer L Cramer, Morgan A Brown, Blake Holcomb, Robin Attey, Dorian Yeh, Eric Monasevitch, Nelly Nouboussi, Isabelle Cullen, Jeremea O Songco, Jared F King, Yashar Ahmadian, Matthew C Smear
Jun 04, 2021
For many organisms, searching for relevant targets such as food or mates entails active, strategic sampling of the environment. Finding odorous targets may be the most ancient search problem that motile organisms evolved to...
The Ursinus Weekly, February 28, 1908
Lecture William Cullen Bryant Personals Editorial: The college campus Alumni notes Freshman declamation contest Seminary notes College world Class officers Literary societies
Ursinus College Collegeville Pennsylvania newspaper YMCA YWCA Schaff literary society Zwinglian literary society cultural history Higher Education Liberal Studies Social History United States History
Published by: Ursinus College
Hippocampal Subfield Volumes in Middle-Aged Adults at Risk of Dementia.
Anna McKeever, Alvar F Paris, James Cullen, Lawrence Hayes, Craig W Ritchie, Karen Ritchie, Adam D Waldman, Katie Wells, Albert Busza, Isabelle Carriere, John T O'Brien, Li Su
Apr 02, 2020
BACKGROUND: Alzheimer's disease (AD) begins decades before the onset of dementia. There is a need to investigate biomarkers of early AD for use in clinical trials and to facilitate early intervention. OBJECTIVE: We aimed to...
Transitional environmentality – Understanding uncertainty at the junctures of eco-logical production in Timor-Leste
Environmentality has proven an enduring framework for interrogating issues around environmental behaviours and discourse as a means of subject governance and citizen-making. However, its application often insufficiently...
Alexander Cullen
Nov 19, 2020
Mapping Global Flows of Chemicals
Chemical products are ubiquitous in modern society. The chemical sector is the largest industrial energy consumer and the third largest industrial emitter of carbon dioxide. The current portfolio of mitigation options for the...
Dynamic exergy analysis
As the power and transport sectors decarbonize, industrial emissions will become the main focus of decarbonization efforts. Exergy analysis provides a combined material and energy efficiency approach to assess industrial plants...
Operation Binnacle
P Cullen
Feb 03, 2017
Toward a circular materials economy
J Cullen
May 13, 2020
The circular economy is a simple and alluring concept, a marketing coup, with broad appeal to policymakers and the general public. It has become a modern catchall phrase for many of the environmental strategies we...
What to Do about Plastics? Lessons from a Study of United Kingdom Plastics Flows.
Plastics are one of the most widely used materials on the planet, owing to their usefulness, durability, and relatively low cost. Yet, making, using, and disposing of plastics create important environmental impacts, most notably...
My farewell to <i>Science and Civilisation in China</i>
The author served as General Editor of the Science and Civilisation in China series from 1992 to 2014. He reviews the history of this scholarly project since its inception by Joseph Needham in 1943, and discusses some...
Christopher Cullen
Jun 27, 2020
A Hybrid Traceability Technology Selection Approach for Sustainable Food Supply Chains
Traceability technologies have great potential to improve sustainable performance in cold food supply chains by reducing food loss. In existing approaches, traceability technologies are selected either intuitively or through a...
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