|
libcats.org
Главная →
Metamathematics, Machines and Gödel's Proof (Cambridge Tracts in Theoretical Computer Science)Metamathematics, Machines and Gödel's Proof (Cambridge Tracts in Theoretical Computer Science)N. ShankarThe automatic verification of large parts of mathematics has been an aim of many mathematicians from Leibniz to Hilbert. While Gödel's first incompleteness theorem showed that no computer program could automatically prove certain true theorems in mathematics, the advent of electronic computers and sophisticated software means in practice there are many quite effective systems for automated reasoning that can be used for checking mathematical proofs. This book describes the use of a computer program to check the proofs of several celebrated theorems in metamathematics including those of Gödel and Church-Rosser. The computer verification using the Boyer-Moore theorem prover yields precise and rigorous proofs of these difficult theorems. It also demonstrates the range and power of automated proof checking technology. The mechanization of metamathematics itself has important implications for automated reasoning, because metatheorems can be applied as labor-saving devices to simplify proof construction.
Ссылка удалена правообладателем ---- The book removed at the request of the copyright holder.
Популярные книги за неделю:
#3
Самодельные детали для сельского радиоприемникаАвторы: З.Б.Гинзбург, Ф.И.Тарасов.Категория: радиоэлектроника
1.40 Mb
#10
Вероятность и статистика. 10-11 классыБродский И.Л., Мешавкина О.С.Категория: M_Mathematics, MSch_School-level
1.24 Mb
Только что пользователи скачали эти книги:
#4
122-мм. Д-30 (2А18). Прил к рук по боевой работе огневых подразделений артиллерииКатегория: Военная техника
349 Kb
#8
Общесоюзные нормативы для таксации лесовЗагреев В.В., Сухих В.И., Швиденко А.З., Гусев Н.Н., Мошкалев А.Г.Категория: Биология биохимия химия Справочник
20.57 Mb
|
|