
Per Martin-Löf's work on the development of constructive type theory has been of huge significance in the fields of logic and the foundations of mathematics. It is also of broader philosophical significance, and has important applications in areas such as computing science and linguistics. This volume draws together contributions from researchers whose work builds on the theory developed by Martin-Löf over the last twenty-five years. As well as celebrating the anniversary of the birth of the subject it covers many of the diverse fields which are now influenced by type theory. It is an invaluable record of areas of current activity, but also contains contributions from N. G. de Bruijn and William Tait, both important figures in the early development of the subject. Also published for the first time is one of Per Martin-Löf's earliest papers.
This volume investigates the historical development, theoretical foundations, and interdisciplinary applications of Per Martin-Löf's constructive type theory. Edited by Giovanni Sambin and Jan M. Smith, the text compiles research papers from a 1995 congress to document the evolution of the field over its first quarter-century. The contributors analyze how this logical framework serves as a bridge between mathematical foundations, computational science, and linguistic theory.
What You Will Find
Scope Limits
Experts recognize this volume as a significant archival record of the maturation of type theory during the late 20th century. Readers frequently note the high level of technical density, making it a resource primarily intended for researchers and advanced students in logic and computer science.
Page Count:
293
Publication Date:
1998-01-01
Publisher:
Clarendon Press
ISBN-10:
0191606936
ISBN-13:
9780191606939
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