scholarly journals Zen and the art of formalisation

2011 ◽  
Vol 21 (4) ◽  
pp. 679-682 ◽  
Author(s):  
ANDREA ASPERTI ◽  
JEREMY AVIGAD

N. G. de Bruijn, now professor emeritus of the Eindhoven University of Technology, was a pioneer in the field of interactive theorem proving. From 1967 to the end of the 1970's, his work on the Automath system introduced the architecture that is common to most of today's proof assistants, and much of the basic technology. But de Bruijn was a mathematician first and foremost, as evidenced by the many mathematical notions and results that bear his name, among them de Bruijn sequences, de Bruijn graphs, the de Bruijn–Newman constant, and the de Bruijn–Erdös theorem. The quotation above is thus interesting not because it is a reflection on his expertise in formal verification, but, rather, of his convictions as a working mathematician.

Author(s):  
Jarno Alanko ◽  
Bahar Alipanahi ◽  
Jonathen Settle ◽  
Christina Boucher ◽  
Travis Gagie
Keyword(s):  

Author(s):  
Yaw-Ling Lin ◽  
Charles Ward ◽  
Bharat Jain ◽  
Steven Skiena

2011 ◽  
Vol 3 (4) ◽  
pp. 207-225 ◽  
Author(s):  
Christelle Rovetta ◽  
Marc Mouffron

1990 ◽  
Vol 36 (5) ◽  
pp. 1166-1167 ◽  
Author(s):  
G.L. Mayhew ◽  
S.W. Golomb

2011 ◽  
Vol 21 (4) ◽  
pp. 671-677 ◽  
Author(s):  
GÉRARD HUET

This special issue of Mathematical Structures in Computer Science is devoted to the theme of ‘Interactive theorem proving and the formalisation of mathematics’.The formalisation of mathematics started at the turn of the 20th century when mathematical logic emerged from the work of Frege and his contemporaries with the invention of the formal notation for mathematical statements called predicate calculus. This notation allowed the formulation of abstract general statements over possibly infinite domains in a uniform way, and thus went well beyond propositional calculus, which goes back to Aristotle and only allowed tautologies over unquantified statements.


2021 ◽  
Vol 344 (6) ◽  
pp. 112368
Author(s):  
Yunlong Zhu ◽  
Zuling Chang ◽  
Martianus Frederic Ezerman ◽  
Qiang Wang

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