Dlina wychisleniq programm

Dlina wychisleniq programm

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Vvoditsya obobshchenie propozitsional'nogo yazyka, pozvolyayushchee predstavlyat' vse vychislimye funktsii i arifmeticheskie programmy. Etot yazyk polezen pri analize vychislitel'nykh kharakteristik arifmeticheskikh programm. V chastnosti, pokazyvaetsya, chto funktsii arifmetiki Presburgera vychislimy za lineynoe vremya, a dlina vychisleniya arifmeticheskoy programmy opredelyaetsya moshchnost'yu faktor-mnozhestva otnosheniya ekvivalentnosti chastichnykh oznachivaniy vkhoda programmy. Tem samym udaetsya svyazat' slozhnost' vychisleniya programmy s vidom vychislyaemoy eyu funktsii.