Title :
A categorical semantics of constructions
Author_Institution :
Ecole Polytech., Palaiseau, France
Abstract :
An abstract framework is proposed for the description of the type dependency semantics. It is claimed that the notion of fibration introduced by A. Grothendieck in the 1960s is perfectly adapted to this goal and provides the greatest simplicity and generality. This semantics is extended to higher order, and an explanation is given of what a general definition for the semantics of the theory of constructions could be.<>
Keywords :
formal logic; categorical semantics; constructions; fibration; type dependency semantics; Logic;
Conference_Titel :
Logic in Computer Science, 1988. LICS '88., Proceedings of the Third Annual Symposium on
Conference_Location :
Edinburgh, UK
Print_ISBN :
0-8186-0853-6
DOI :
10.1109/LICS.1988.5125
