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CSL
2001
Springer
14 years 1 months ago
Markov's Principle for Propositional Type Theory
Abstract. In this paper we show how to extend a constructive type theory with a principle that captures the spirit of Markov’s principle from constructive recursive mathematics. ...
Alexei Kopylov, Aleksey Nogin
MFCS
1997
Springer
14 years 1 months ago
Simulation as a Correct Transformation of Rewrite Systems
Abstract. Kamperman and Walters proposed the notion of a simulation of one rewrite system by another one, whereby each term of the simulating rewrite system is related to a term in...
Wan Fokkink, Jaco van de Pol
APLAS
2007
ACM
14 years 1 months ago
Mixed Inductive/Coinductive Types and Strong Normalization
Abstract. We introduce the concept of guarded saturated sets, saturated sets of strongly normalizing terms closed under folding of corecursive functions. Using this tool, we can mo...
Andreas Abel
BIRTHDAY
2006
Springer
14 years 25 days ago
Eliminating Dependent Pattern Matching
Abstract. This paper gives a reduction-preserving translation from Coquand's dependent pattern matching [4] into a traditional type theory [11] with universes, inductive types...
Healfdene Goguen, Conor McBride, James McKinna
MFCS
2000
Springer
14 years 20 days ago
On the Autoreducibility of Random Sequences
Abstract. A binary sequence A = A(0)A(1) . . . is called infinitely often (i.o.) Turing-autoreducible if A is reducible to itself via an oracle Turing machine that never queries it...
Todd Ebert, Heribert Vollmer