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» On the Modularity of Theories
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JSC
2010
53views more  JSC 2010»
13 years 6 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»
12 years 11 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
14 years 1 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»
13 years 11 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
14 years 7 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