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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...
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From LCF to Isabelle/HOL
LC PAULSON, T Nipkow, M Wenzel
Sep 01, 2020
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...
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An Isabelle/HOL formalisation of Green’s theorem
M Abdulaziz, LC PAULSON
Feb 08, 2017
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...
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Formalising Mathematics – in Praxis; A Mathematician’s First Experiences with Isabelle/HOL and the Why and How of Getting Started
A Koutsoukou-Argyraki
Oct 06, 2021
AbstractThis 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...
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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 mathematics and the choice of...
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Spotlight on deep carbon research.
Professor Marie Edmonds is a volcanologist at the University of Cambridge. She is interested in the role of magmatic volatiles in magma genesis, volcanic eruptions, and volatile geochemical cycling. Dr. Robert Hazen is a...
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Endowment of Scholarship Honors Late Alumna Anna Marie Hurst '12
Winthrop University
Jan 01, 0001
The Anna Marie Hurst Memorial Scholarship supports students majoring in elementary education, early childhood education or family and consumer sciences. Hurst, a native of Rock Hill, earned her B.S. in family and consumer...
Published by: Winthrop University
Formalising Szemerédi’s Regularity Lemma and Roth’s Theorem on Arithmetic Progressions in Isabelle/HOL
AbstractWe 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...
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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...
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...
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Foix-Chavany-Marie syndrome secondary to bilateral traumatic operculum injury.
This report describes a case of a 62-year-old man who developed Foix-Chavany-Marie syndrome subsequent to traumatic brain injury. The initial presentation of the syndrome was profound loss of voluntary control of orofacial...
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A dysfunctional endolysosomal pathway common to two sub-types of demyelinating Charcot–Marie–Tooth disease
Abstract: Autosomal dominant mutations in LITAF are responsible for the rare demyelinating peripheral neuropathy, Charcot–Marie–Tooth disease type 1C (CMT1C). The LITAF protein is expressed in many human cell types and we have...
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A dysfunctional endolysosomal pathway common to two sub-types of demyelinating Charcot–Marie–Tooth disease
Abstract: Autosomal dominant mutations in LITAF are responsible for the rare demyelinating peripheral neuropathy, Charcot–Marie–Tooth disease type 1C (CMT1C). The LITAF protein is expressed in many human cell types and we have...
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Fostering Competency Development Through Knowledge Sharing Capabilities in Onboarding
The study proposes and empirically validates a theoretical model suggesting that employee competency development during the onboarding period largely depends on the availability of knowledge sharing (KS) channels (both digital...
PIGO deficiency
BACKGROUND: Several genetic defects have been identified in the glycosylphosphatidylinositol (GPI) anchor synthesis, including mutations in PIGO encoding phosphatidylinositol glycan anchor biosynthesis class O protein. These...
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