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» Type Classes for Mathematics in Type Theory
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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
ITP
2010
165views Mathematics» more  ITP 2010»
13 years 9 months ago
A Mechanized Translation from Higher-Order Logic to Set Theory
Abstract. In order to make existing formalizations available for settheoretic developments, we present an automated translation of theories from Isabelle/HOL to Isabelle/ZF. This c...
Alexander Krauss, Andreas Schropp
ASPLOS
2006
ACM
13 years 11 months ago
Type inference for unboxed types and first class mutability
Systems programs rely on fine-grain control of data representation and use of state to achieve performance, conformance to hardware specification, and temporal predictability. T...
Swaroop Sridhar, Jonathan S. Shapiro
CSL
2005
Springer
13 years 10 months ago
Towards a Typed Geometry of Interaction
Abstract. Girard’s Geometry of Interaction (GoI) develops a mathematical framework for modelling the dynamics of cut-elimination. We introduce a typed version of GoI, called Mult...
Esfandiar Haghverdi, Philip J. Scott