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» Extensionality in the Calculus of Constructions
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LICS
2008
IEEE
15 years 4 months ago
Nonlocal Flow of Control and Kleene Algebra with Tests
Kleene algebra with tests (KAT) is an equational system for program verification that combines Kleene algebra (KA), or the algebra of regular expressions, with Boolean algebra. I...
Dexter Kozen
90
Voted
ISSAC
2007
Springer
99views Mathematics» more  ISSAC 2007»
15 years 3 months ago
Computing monodromy via parallel homotopy continuation
Numerical homotopy continuation gives a powerful tool for the applied scientist who seeks solutions to a system of polynomial equations. Techniques from numerical homotopy continu...
Anton Leykin, Frank Sottile
LICS
2005
IEEE
15 years 3 months ago
Inverse and Implicit Functions in Domain Theory
We construct a domain-theoretic calculus for Lipschitz and differentiable functions, which includes addition, subtraction and composition. We then develop a domaintheoretic versio...
Abbas Edalat, Dirk Pattinson
TPHOL
1999
IEEE
15 years 1 months ago
Disjoint Sums over Type Classes in HOL
The standard versions of HOL only support disjoint sums over finite families of types. This paper introduces disjoint sums over type classes containing possibly a countably infinit...
Norbert Völker
IMPERIAL
1993
15 years 1 months ago
Deriving Category Theory from Type Theory
This work expounds the notion that (structured) categories are syntax free presentations of type theories, and shows some of the ideas involved in deriving categorical semantics f...
Roy L. Crole