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» Type Theory and the Informal Language of Mathematics
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MKM
2007
Springer
13 years 11 months ago
Formal Representation of Mathematics in a Dependently Typed Set Theory
Abstract. We have formalized material from an introductory real analysis textbook in the proof assistant Scunak. Scunak is a system based on set theory encoded in a dependent type ...
Feryal Fulya Horozal, Chad E. Brown
BIOCOMP
2008
13 years 6 months ago
Combinations of Context-Free Shifts and Shifts of Finite Type
A Dyck shift and a Motzkin shift are mathematical models for constraints on genetic sequences. In terms of the theory of symbolic dynamics, neither of the Dyck shift nor the Motzki...
Hiroshi Kamabe
MKM
2004
Springer
13 years 10 months ago
Flexible Encoding of Mathematics on the Computer
This paper reports on refinements and extensions to the MathLang framework that add substantial support for natural language text. We show how the extended framework supports mult...
Fairouz Kamareddine, Manuel Maarek, J. B. Wells

Book
314views
15 years 3 months ago
Programming in Martin-Löf's Type Theory
"This book describes different type theories (theories of types, polymorphic and monomorphic sets, and subsets) from a computing science perspective. It is intended for resear...
Bengt Nordström, Kent Petersson, Jan M. Smith