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» On the Modularity of Theories
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JSC
2010
53views more  JSC 2010»
14 years 8 months ago
Combination of convex theories: Modularity, deduction completeness, and explanation
Duc-Khanh Tran, Christophe Ringeissen, Silvio Rani...
CORR
2011
Springer
170views Education» more  CORR 2011»
14 years 1 months ago
A Modular Type-checking algorithm for Type Theory with Singleton Types and Proof Irrelevance
We define a logical framework with singleton types and one universe of small types. We give the semantics using a PER model; it is used for constructing a normalisation-by-evaluat...
Andreas Abel, Thierry Coquand, Miguel Pagano
LPNMR
2005
Springer
15 years 3 months ago
An Algebraic Account of Modularity in ID-Logic
ID-logic uses ideas from the field of logic programming to extend second order logic with non-monotone inductive defintions. In this work, we reformulate the semantics of this lo...
Joost Vennekens, Marc Denecker
EUROCAST
1997
Springer
85views Hardware» more  EUROCAST 1997»
15 years 1 months ago
Turing Universality of Neural Nets (Revisited)
We show how to use recursive function theory to prove Turing universality of finite analog recurrent neural nets, with a piecewise linear sigmoid function as activation function. W...
João Pedro Guerreiro Neto, Hava T. Siegelma...
ICFP
2006
ACM
15 years 9 months ago
Polymorphism and separation in hoare type theory
In previous work, we proposed a Hoare Type Theory (HTT) which combines effectful higher-order functions, dependent types and Hoare Logic specifications into a unified framework. H...
Aleksandar Nanevski, Greg Morrisett, Lars Birkedal