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» A Constructive Algebraic Hierarchy in Coq
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FPLE
1995
13 years 9 months ago
Explaining Algebraic Theory with Functional Programs
Abstract. A hierarchy of six important structures from abstract algebra (groups, rings, fields etc.) is introduced as Gofer class definitions and laws about them. Many instance d...
Jeroen Fokker
TPHOL
2003
IEEE
13 years 11 months ago
Program Extraction from Large Proof Developments
Abstract. It is well known that mathematical proofs often contain (abstract) algorithms, but although these algorithms can be understood by a human, it still takes a lot of time an...
Luís Cruz-Filipe, Bas Spitters
CCS
2010
ACM
14 years 27 days ago
Cryptographic role-based security mechanisms based on role-key hierarchy
Even though role-based access control (RBAC) can tremendously help us minimize the complexity in administering users, it is still needed to realize the notion of roles at the reso...
Yan Zhu, Gail-Joon Ahn, Hongxin Hu, Huaixi Wang
TPHOL
2008
IEEE
14 years 13 days ago
Canonical Big Operators
In this paper, we present an approach to describe uniformly iterated “big” operations, like Pn i=0 f(i) or maxi∈I f(i) and to provide lemmas that encapsulate all the commonly...
Yves Bertot, Georges Gonthier, Sidi Ould Biha, Ioa...
LSSC
2007
Springer
14 years 5 days ago
Application of Hierarchical Decomposition: Preconditioners and Error Estimates for Conforming and Nonconforming FEM
A successive refinement of a finite element grid provides a sequence of nested grids and hierarchy of nested finite element spaces as well as a natural hierarchical decompositio...
Radim Blaheta