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ITP
2010
230views Mathematics» more  ITP 2010»
13 years 10 months ago
On the Formalization of the Lebesgue Integration Theory in HOL
Lebesgue integration is a fundamental concept in many mathematical theories, such as real analysis, probability and information theory. Reported higher-order-logic formalizations o...
Tarek Mhamdi, Osman Hasan, Sofiène Tahar
CORR
2007
Springer
124views Education» more  CORR 2007»
13 years 8 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel
AAAI
2000
13 years 10 months ago
Agent Capabilities: Extending BDI Theory
Intentional agent systems are increasingly being used in a wide range of complex applications. Capabilities has recently been introduced into one of these systems as a software en...
Lin Padgham, Patrick Lambrix
TPHOL
2005
IEEE
14 years 2 months 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
POPL
1998
ACM
14 years 26 days ago
Local Type Inference
constraint solver. The other infers annotations on bound variables in function abstractions by propagating type constraints downward from enclosing application nodes. We motivate o...
Benjamin C. Pierce, David N. Turner