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» Reasoning about the Elementary Functions of Complex Analysis
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TPHOL
2005
IEEE
14 years 5 days ago
A HOL Theory of Euclidean Space
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
John Harrison
BC
2008
72views more  BC 2008»
13 years 6 months ago
Spike-train spectra and network response functions for non-linear integrate-and-fire neurons
Reduced models have long been used as a tool for the analysis of the complex activity taking place in neurons and their coupled networks. Recent advanced in experimental and theore...
Magnus J. E. Richardson
FOSSACS
2007
Springer
14 years 23 days ago
Logical Reasoning for Higher-Order Functions with Local State
Abstract. We introduce an extension of Hoare logic for call-by-value higherorder functions with ML-like local reference generation. Local references may be generated dynamically an...
Nobuko Yoshida, Kohei Honda, Martin Berger
CADE
2008
Springer
13 years 8 months ago
Automated Implicit Computational Complexity Analysis (System Description)
Recent studies have provided many characterisations of the class of polynomial time computable functions through term rewriting techniques. In this paper we describe a (fully autom...
Martin Avanzini, Georg Moser, Andreas Schnabl
FROCOS
2007
Springer
14 years 23 days ago
Hierarchical and Modular Reasoning in Complex Theories: The Case of Local Theory Extensions
Abstract. We present an overview of results on hierarchical and modular reasoning in complex theories. We show that for a special type of extensions of a base theory, which we call...
Viorica Sofronie-Stokkermans