1,686 research outputs found

    Cut-elimination, substitution and normalisation

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    Date of Acceptance: 01/2015We present a proof (of the main parts of which there is a formal version, checked with the Isabelle proof assistant) that, for a G3-style calculus covering all of intuitionistic zero-order logic, with an associated term calculus, and with a particular strongly normalising and confluent system of cut-reduction rules, every reduction step has, as its natural deduction translation, a sequence of zero or more reduction steps (detour reductions, permutation reductions or simplifications). This complements and (we believe) clarifies earlier work by (e.g.) Zucker and Pottinger on a question raised in 1971 by Kreisel.Peer reviewe

    I remember teaching English at Seabrook

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    In this "I remember" memoir, Isabell Waugh, a former teacher at Seabrook, compares and constrasts the different groups of students she taught. She remembers that native-born American teenagers tended to be more concerned with athletics and social activities, than academic matters. In comparison, Estonian and Japanese parents did not tolerate low academic performance, so students from the two groups often competed intensely with each other for academic achievement and recognition. Isabelle recalls that the Estonians were, in general, more sophisticated and better educated. Most of the children knew 3-5 languages, and were more advanced in math and science. She sensed that some Estonian parents felt that their homes at Seabrook were temporary, and that they would be returning to Estonia at some point. The Seabrook Educational and Cultural Center has been soliciting current and past residents of Seabrook Farms for an "I remember" project. Residents are asked to create narratives regarding their experiences at Seabrook Farms. These memories help preserve the history and multi-cultural heritage of Seabrook Farms

    Isabelle Bell to Susan Niemcewicz, December 23, 1800

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    Isabelle Bell wrote to Susan U. Niemcewicz in Elizabethtown, New Jersey. Bell expressed her disappointment in not receiving a line from Susan. She sent Bell Lucretia Rephans subscription epistle, but Susan refrained from writing a letter to her. Bell did not execute any of Susan’s commissions in New York because her time there was short. Miss Resham heard that Mr. B Livingston told his sister, Mrs. J. Livingston that he would offer Bell a salary to live in his house and take charge of his children’s education. Asked if Susan what she thought of her being an author and if Susan would subscribe to a small volume that may have the good fortune to rival the poems of the immortal Scarron.https://digitalcommons.kean.edu/lhc_1800s/1143/thumbnail.jp

    Interviews with Carl T. Bode, Isabelle Fritschen, Joseph H. Hirt, Mary G. Hirt, and Minnie Campbell

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    Interviews with Carl T. Bode, Isabelle Fritschen, Joseph H. Hirt, Mary G. Hirt, and Minnie Campbell. The recording includes a variety of German-language songs. The last half of the recording is dedicated to Minnie Campbell telling about her time working for Mother Bickerdyke. The first few minutes of the recording are missing. 00:00:13 - Song, The Messenger Bird sung by Joseph H. Hirt and translated by Isabelle Fritschen 00:01:35 - Song, Birdie in the Window, sung by Mary Gertrude Hirt 00:02:59 - Story of Peter John Thielen\u27s experience in the Franco-Prussian War told by Joseph Hirt 00:05:27 - Grandfather\u27s experience with wild cattle told by Isabelle Fritschen 00:07:31 - Carl T. Bode introduction 00:08:46 - Nursery rhyme about hands 00:09:09 - The Cuckoo and the Donkey 00:09:42 - Sleep Baby Sleep 00:10:24 - Golden Evening Sun 00:11:00 - Beautiful Moon 00:12:10 - My Homeland 00:13:50 - Minnie Campbell Introduction 00:14:05 - Experiences as Mother Bickerdyke\u27s secretary 00:14:35 - Mother Bickerdyke\u27s 81st birthday celebration in Bunker Hill, KS 00:19:59 - Mother Bickerdyke\u27s portrait 00:23:55 - How Lydia Foster, Mother Bickerdyke\u27s Black maid came to live with her. 00:26:34 - Mother Bickerdyke\u27s death 00:29:34 - Mother Bickerdyke\u27s burial in Galesburg, Illinois 00:30:28 - Working for Mother Bickerdyke 00:34:01 - Going to School as a student of James Bickerdyke, Mother Bickerdyke\u27s son 00:35:26 - Decline of Bunker Hill, KS 00:37:15 - Russell stealing the county seat from Bunker Hill 00:38:09 - Closing of the Dorrance, KS bank 00:39:00 - Mother Bickerdyke\u27s personality 00:42:34 - Experience with Nina Brown Baker author of Cyclone in Calico 00:48:24 - Mother Bickerdyke Home for Widows and Children in Ellsworth, KS 00:51:13 - Post scripthttps://scholars.fhsu.edu/sackett/1014/thumbnail.jp

    bpichon0/Scripts_drylands_shift: Multistability in dryland plant communities

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    <p>Code needed to replicate the result of: Emergence of multistability in dryland plant communities. bioRxiv Benoît Pichon, Isabelle Gounand, Sophie Donnet, Sonia Kéfi. All the steps are indicated in the Readme file.</p> <p>Contact = <a href="mailto:[email protected]">[email protected]</a></p&gt

    bpichon0/Meta_eco_stoichio: Stoichiometry at terrestrial-freshwater ecotone

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    Code and data needed to replicate the result of: Quality matters: stoichiometry of resources modulates spatial feedbacks in aquatic-terrestrial meta-ecosystems. Benoît Pichon, Elisa Thébault, Gérard Lacroix et Isabelle Gounand. bioRxiv All the steps are indicated in the Readme file

    Formalization of Isabelle Meta Logic in NuPRL

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    NuPRL and Isabelle are two general purpose theorem provers. Both of them are based on a version of Constructive Higher Order Type Theory. In an earlier work the author has proposed an informal semantics of Isabelle Meta Logic in an extension of NuPRL Type Theory. An automated converter, based on this semantics, has been developed, that translates Isabelle theorem statements into NuPRL. This work presents a formalization of the above semantics in NuPRL. It starts with a deep embedding of Isabelle type and term syntax into NuPRL Constructive Type Theory. Next, two internal NuPRL functions are defined. One of them maps Isabelle types into NuPRL types and the other maps Isabelle terms into elements of appropriate NuPRL types. These two functions provide an interpretation of Isabelle in NuPRL. Finally, interpretations of all Isabelle Meta Logic rules are proven as theorems in some classical extension of NuPRL Type Theory. This formalization is aimed to provide a more secure foundation for the interaction between two systems

    bpichon0/Scripts_drylands_shift: Multistability in dryland plant communities

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    <p>Code needed to replicate the result of: Emergence of multistability in dryland plant communities. <em>bioRxiv</em> Benoît Pichon, Isabelle Gounand, Sophie Donnet, Sonia Kéfi. All the steps are indicated in the Readme file.</p> <p>Contact = <a href="mailto:[email protected]">[email protected]</a></p&gt

    Dynamique terrestres des nutriments médiée par les animaux : étude des déchets, du transfert trophique et des signatures isotopiques

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    Certains éléments chimiques sont particulièrement importants pour les organismes. Le carbone (C), le squelette des biomolécules, l’azote (N) des protéines essentielles à toute fonction, et le phosphore (P), au cœur de l’énergie chimique de l’ATP sont si importants que la structure des écosystèmes terrestres, dépend en partie des flux de ces éléments, ainsi que de leur proportion relative, ou stœchiométrie, dans le sol. Or, les animaux se nourrissent et produisent des déchets sous forme de fèces et d’urine contenant ces mêmes éléments (C, N, P), dont le devenir dépend fortement de la quantité et de la qualité de ces déchets. Cependant, la quantité et la qualité des déchets varient entre espèces, a priori en fonction de paramètres physiologiques et alimentaires, mais cette relation est peu documentée. En particulier, la masse corporelle, qui détermine le taux métabolique de l’individu, et le régime alimentaire (herbivore, carnivore, omnivore, détritivore), la richesse nutritionnelle ou la quantité disponible de la ressource sont tous des facteurs susceptibles d’influencer la qualité et la quantité des déchets produits par les animaux, mais aussi leur homéostasie chimique. Afin d’étudier les facteurs déterminants la composition chimique des fèces et l’homéostasie chimique de l’animal à une large échelle phylogénétique, nous avons assemblé des données bibliographiques sur un grand nombre d’espèces animales terrestres. Pour compléter la gamme d’espèces, nous avons par ailleurs effectué de nouvelles mesures. L’analyse montre que le régime alimentaire et la qualité de la ressource sont les facteurs principaux affectant la composition des déchets. La taille corporelle, quant à elle, a peu d’effets. Nous avons également mené une expérience au niveau intraspécifique pour déterminer l’effet de la quantité de ressource sur l’homéostasie chimique, le temps de rétention et les propriétés chimiques des fèces chez Spodoptera littoralis, et ce tant sur les éléments (C, N, P) que sur certains isotopes du carbone et de l’azote. La réduction de la quantité de ressource induit des changements physiologiques importants, dont l’augmentation de l’efficacité d’absorption élémentaire et des isotopes lourds, et réciproquement une réduction de l’excrétion des nutriments (dont N et P). Cela provoque une augmentation du temps de rétention des nutriments dans la biomasse ainsi qu’une diminution de la qualité et de la quantité des déchets. En somme, le recyclage est ralenti lorsque la ressource devient rare. L’ensemble de ces résultats montrent que les animaux sont des noeuds biogéochimiques capables d’adaptations qui interagissent avec le cycle des nutriments et les propriété des chaînes trophiques.Certain chemical elements are particularly important for organisms. Carbon (C), the skeleton of biomolecules, nitrogen (N) from proteins essential to all functions, and phosphorus (P), at the heart of the chemical energy of ATP, are so important that the structure of terrestrial ecosystems depends in part on the flow of these elements, but also on the relative proportion, or stoichiometry, of these elements in the soil. Heterotrophs, particularly animals, feed and produce waste in the form of faeces and urine containing these elements (C, N, P), the fate of which highly depends on the quantity and quality of this waste. Quantity and quality vary between species depending on physiological and dietary parameters, but this relationship is poorly documented. Body mass, which determines an individual’s metabolic rate, as well as diet (herbivore, carnivore, omnivore, detritivore), resource quantity and quality are all factors likely to influence the quality and quantity of waste produced by animals, as well as the chemical homeostasis of their own body. To study the factors determining the chemical composition of faeces and the chemical homeostasis of the animal on a broad phylogenetic scale, we assembled bibliographical data on a large number of terrestrial animal species and carried out new measurements. The analysis of this dataset shows that diet and resource quality are the main factors affecting waste composition. We also conducted an experiment to determine the effect of resource quantity on the chemical homeostasis, retention time and chemical properties of faeces in Spodoptera littoralis, both for the elements (C, N, P) and for certain isotopes of carbon and nitrogen. The reduction in the quantity of resources induces major physiological changes, including an increase in the efficiency of elemental absorption and of heavy isotopes, and conversely a reduction in the excretion of nutrients (including N and P). This leads to an increase in the retention time of nutrients in the biomass and a reduction in the quality and quantity of waste products. In short, recycling slows down when resources become scarce. These results show that animals are biogeochemical nodes capable of adaptations that interact with the nutrient cycle and the properties of trophic chains

    Security modeling and correctness proof using Specware and Isabelle

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    Security modeling is the foundation to formal verification which is a core requirement for high assurance systems. This thesis explores how security models can be built in a simple and expressive manner using the Metaslang specification language in Specware. The models are subsequently translated, via the Specware to Isabelle Interface, to be proven for correctness in Isabelle which is a generic, interactive theorem proving environment. It is found that the translation between Specware and Isabelle is almost seamless and there is much potential in the use of Isabelle/HOL to discharge proof obligations that arise in developing Specware specifications, although the actual proving requires substantial knowledge and experience in logical calculus.Approved for public release; distribution is unlimited.Outstanding ThesisSingapore ST Electronics Ltd. author (civilian).http://archive.org/details/securitymodeling10945383
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