Une pure merveille !
Un roman d'une grande beauté, drôle, fin, extrêmement lumineux sur des sujets difficiles : la perte de
l'être aimé, la dureté de la vie et la tristesse qu'on barricade parfois... Elise franco-japonaise,
orpheline de sa maman veut poser LA question à son père et elle en trouvera le courage au fil des pages,
grâce au retour de sa grand-mère du japon, de sa rencontre avec son extravagante amie Stella..
Ensemble il ne diront plus Sayonara mais Mata Ne !
Theorems in automated theorem proving are usually proved by formal logical proofs. However, there is a subset of problems that humans can prove by the...
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Résumé
Theorems in automated theorem proving are usually proved by formal logical proofs. However, there is a subset of problems that humans can prove by the use of geometric operations on diagrams, so-called diagrammatic proofs. This book investigates and describes how such diagrammatic reasoning about mathematical theorems can be automated. Concrete, rather than general, diagrams are used to prove particular instances of a universal statement. The " inference steps " of a diagrammatic proof are formulated in terms of geometric operations on the diagram. A general schematic proof of the universal statement is induced from these proof instances by means of the constructive w-rule. Schematic proofs are represented as recursive programs, which when given a particular diagram return a proof for that diagram. It is necessary to reason about this recursive program to show that it outputs a correct proof. One method of confirming the soundness of the abstraction of a schematic proof from proof instances is to prove the correctness of the schematic proof in the meta-theory of diagrams. This book presents an investigation of these ideas and their implementation in a system called DIAMOND.