203 search results - page 7 / 41 » Type Theory and the Informal Language of Mathematics |
CADE
2001
Springer
14 years 7 months ago
2001
Springer
Proof assistants based on type theories, such as Coq and Lego, allow users to omit subterms on input that can be inferred automatically. While those mechanisms are well known, ad-h...
POPL
2003
ACM
14 years 7 months ago
2003
ACM
We introduce a new framework of algebraic pure type systems in which we consider rewrite rules as lambda terms with patterns and rewrite rule application as abstraction applicatio...
JANCL
2002
13 years 7 months ago
2002
We investigate the major mathematical theories of space from a modal standpoint: topology, affine geometry, metric geometry, and vector algebra. This allows us to see new fine-str...
MKM
2007
Springer
14 years 1 months ago
2007
Springer
Abstract. There are many styles for the narrative structure of a mathematical document. Each mathematician has its own conventions and traditions about labeling portions of texts (...
POPL
2003
ACM
14 years 19 days ago
2003
ACM
First-class continuations are a powerful computational effect, allowing the programmer to express any form of jumping. Types and effect systems can be used to reason about contin...