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TYPES
2000
Springer
13 years 8 months ago
Formalizing the Halting Problem in a Constructive Type Theory
We present a formalization of the halting problem in Agda, a language based on Martin-L
Kristofer Johannisson
AMC
2006
82views more  AMC 2006»
13 years 4 months ago
Some thoughts on hypercomputation
We first show that the Halting Function (the noncomputable function that solves the Halting Problem) has explicit expressions in the language of calculus. Out of that fact we elab...
Newton C. A. da Costa, Francisco A. Doria
ENTCS
2008
128views more  ENTCS 2008»
13 years 4 months ago
Towards Formalizing Categorical Models of Type Theory in Type Theory
This note is about work in progress on the topic of "internal type theory" where we investigate the internal formalization of the categorical metatheory of constructive ...
Alexandre Buisse, Peter Dybjer
ICML
1996
IEEE
14 years 5 months ago
On the Learnability of the Uncomputable
Within Valiant'smodel of learning as formalized by Kearns, we show that computable total predicates for two formallyuncomputable problems the classical Halting Problem, and t...
Richard H. Lathrop
TPHOL
1999
IEEE
13 years 9 months ago
Universal Algebra in Type Theory
We present a development of Universal Algebra inside Type Theory, formalized using the proof assistant Coq. We define the notion of a signature and of an algebra over a signature. ...
Venanzio Capretta