Paper Info
Title
A Logical Framework for Developing and Mechanizing Set Theories.
Abstract
We describe a framework for formalizing mathematics which is based on the usual set theoretical foundations of mathematics. Its most important feature is that it reflects real mathematical practice in making an extensive use of statically defined abstract set terms, in the same way they are used in ordinary mathematical discourse. We also show how large portions of scientifically applicable mathematics can be developed in this framework in a straightforward way, using just rather weak set theories which are predicatively acceptable. The key property of those theories is that every object which is used in it is defined by some closed term of the theory. This allows for a very concrete, computationally-oriented interpretation. However, the development is not committed to such interpretation, and can easily be extended for handling stronger set theories, including ZFC itself.
Year
DOI
Venue
2016
10.1007/978-3-319-40229-1_1
IJCAR
Field
DocType
Volume
Discrete mathematics,Applicable mathematics,Computer science,Algorithm,Mathematical practice,Foundations of mathematics,Logical framework
Conference
9706
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
3
1
Name
Order
Citations
PageRank
Arnon Avron11292147.65