Algorithms in Modern Mathematics and Computer Science -

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Résumé :
Al-khorezmi his background, his personality his work and his influence.- Algorithms in modern mathematics and computer science.- What are the gains of the theory of algorithms.- On inductive synthesis of programs.- Expanding constructive universes.- The logical approach to programming.- The structural synthesis of programs.- On finding invariant relations of program.- What can we do with problems of exhaustive search?.- The algorithmic complexity of linear algebras.- Algorithms in various contexts.- Role of a notion of algorithm in the arithmetic language semantics.- From logicism to proceduralism (an autobiographical account).- Abstract computability on algebraic structures.- Algorithms and algebra.- On formal transformations of algorithms.- What should we do having proved a decision problem to be unsolvable?.- On the experience of riding two horses in programming.- Church-rosser transformers and decidable propertis of tree processing.- Supplement 1 summaries of oral presentations.- Supplement 2 technical program.- Supplement 3 publications on the symposium.- List of participants.- Supplement 5 photoillustrations.

Sommaire:
Al-khorezmi his background, his personality his work and his influence.- Algorithms in modern mathematics and computer science.- What are the gains of the theory of algorithms.- On inductive synthesis of programs.- Expanding constructive universes.- The logical approach to programming.- The structural synthesis of programs.- On finding invariant relations of program.- What can we do with problems of exhaustive search?.- The algorithmic complexity of linear algebras.- Algorithms in various contexts.- Role of a notion of algorithm in the arithmetic language semantics.- From logicism to proceduralism (an autobiographical account).- Abstract computability on algebraic structures.- Algorithms and algebra.- On formal transformations of algorithms.- What should we do having proved a decision problem to be unsolvable?.- On the experience of riding two horses in programming.- Church-rosser transformers and decidable propertis of tree processing.- Supplement 1 summaries of oral presentations.- Supplement 2 technical program.- Supplement 3 publications on the symposium.- List of participants.- Supplement 5 photoillustrations....