Prime implicate generation in equational logic

The work presented in this memoir deals with the generation of prime implicates in ground equational logic, i.e., of the most general consequences of formulae containing equations and disequations between ground terms.It is divided in three parts. First, two calculi that generate implicates are defined. Their deductive-completeness is proved, meaning they can both generate all the implicates up to redundancy of equational formulae.Second, a tree data structure to store the generated implicates is proposed along with algorithms to detect redundancies and prune the branches of the tree accordingly. This data structure is adapted to the different kinds of clauses (with and without function symbols, with and without constraints) and to the various formal definitions of redundancy used in the calculi since each calculus uses different -- although similar -- redundancy criteria. Termination and correction proofs are provided with each algorithm. Finally, an experimental evaluation of the different prime implicate generation methods based on research prototypes written in Ocaml is conducted including a comparison with state-of-the-art prime implicate generation tools. This experimental study is used to identify the most efficient variants of the proposed algorithms. These show promising results overstepping the state of the art.Ce mémoire présente le résultat de mon travail de thèse sur la génération d'impliqués premiers en logique équationnelle fermée, i.e., la génération des conséquences les plus générales de formules logiques contenants des équations et des disequations entre termes sans variables. Ce mémoire est divisé en trois parties. Tout d'abord, deux calculs de génération d'impliqués sont définis. Leur complétude pour la déduction est prouvée, ce qui signifie qu'ils sont tous deux capables de générer l'ensemble des impliqués modulo redondance d'une formule équationnelle fermée. Dans une deuxième partie, une structure de données arborescente est proposée pour stocker les impliqués générés, accompagnée d'algorithmes pour déceler les redondances et couper les branches de l'arbre lorsque c'est nécessaire. Cette structure de données est adaptée aux différents types de clauses (avec et sans symboles de fonctions, avec et sans contraintes) ainsi qu'aux différentes notions de redondance utilisées dans les calculs. En effet, chaque calcul utilise un critère de redondance légèrement différent des autres. Les preuves de correction et de terminaison des algorithmes sont fournies pour chaque algorithme. Enfin, une évaluation expérimentale des différentes méthodes de génération d'impliqués premiers est réalisée. Pour cela, un prototype de ces méthodes, écrit en Ocaml est comparé à des outils de génération d'impliqués premiers récents.Les résultats de ces expériences sont utilisés pour identifier les variantes les plus efficaces des algorithmes proposés. Les résultats sont prometteurs et dans la plupart des cas, meilleurs que ceux de l'état de l'art

Volume 02, issue 1

The mission of CJS is to contribute to the effective continuing medical education of Canadian surgical specialists, using innovative techniques when feasible, and to provide surgeons with an effective vehicle for the dissemination of observations in the areas of clinical and basic science research. Visit the journal website at http://canjsurg.ca/ for more.https://ir.lib.uwo.ca/cjs/1043/thumbnail.jp

Adultery in the Novel

Originally published in 1979. Adultery is a dominant feature in chivalric literature; it becomes a major concern in Shakespeare's last plays; and it forms the central plot of novels from Anna Karenina to Couples. Tony Tanner proposes that transgressions of the marriage contract take on a special significance in the "bourgeois novels" of the eighteenth and nineteenth centuries. His interpretation begins with the general topic of adultery in literature and then zeroes in on three works—Rousseau's La Nouvelle Héloïse, Goethe's Die Wahlverwandtschaften, and Flaubert's Madame Bovary. His interpretation encompasses the role of women, the structure of the family, social mores, and the history of sexuality

Baudelaire and Proust the symbolistic technique as applied to the novel. An attempt to discover how far Proust may be considered an exponent of symbolism, with special reference to his affinities with Charles Baudelaire

The Symbolistic technique as applied to the novel. A consideration of Marcel Proust, as exponent in the novel of some of the themes dear to Symbolism, and, before the Symbolists, to their precursor Charles Baudelaire. In treatment of all these themes of memory, synesthesia, and music; symbol, liturgical symbolism, and mysticism: Time, and dreams; he shows close affinity with Baudelaire, and varying degrees of affinity with Symbolism proper, but everywhere he makes the novel a flexible instrument for expression of subject matter, and use of technique, hitherto considered the domain of poetry and the other arts, such as music, even the province of metaphysics (time) and psycho-analysis (sleep and dreams, memory and synesthesia).<p

The Letters of Elizabeth Rigby, Lady Eastlake

2009 was the bicentenary of the birth of the English writer, translator, critic and amateur artist Elizabeth Rigby, Lady Eastlake (1809-1893). Bringing together a comprehensive collection of her surviving correspondence, the Letters of Elizabeth Rigby, Lady Eastlake reveals significant new material about this extraordinary figure in Victorian society. The scope of Lady Eastlake’s writing is wide and interdisciplinary, which recommends her as a significant figure in Victorian culture, giving rise to revelations about the ways in which different cultural activities were linked. Lady Eastlake lived for extended periods of time abroad in Germany and Estonia, and wrote an early work about her impressions of the Baltic, her subsequent writing took the form of reviews for the periodical press, including reviews of Jane Eyre, Vanity Fair, Ruskin, Coleridge, and Madame de Stael. She also wrote on women’s subjects, including articles on the education of women. However, the great proportions of her publications are art-related reviews: she wrote one of earliest critical texts on photography and produced several essays on artists. The lively correspondence of Lady Eastlake not only contributes to a more holistic understanding of nineteenth-century culture, it also shows how a well connected woman could play an important role in the Victorian art world