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MSCS
2006
97views more  MSCS 2006»
13 years 5 months ago
An extremely sharp phase transition threshold for the slow growing hierarchy
We investigate natural systems of fundamental sequences for ordinals below the Howard Bachmann ordinal and study growth rates of the resulting slow growing hierarchies. We consider...
Andreas Weiermann
ICIP
2008
IEEE
14 years 7 months ago
Spect image restoration via Recursive Inverse Filtering constrained by a probabilistic MRI atlas
3D Brain SPECT imagery is a well established functional imaging method which has become a great help to physicians in the diagnosis of several neurological and cerebrovascular dis...
Said Benameur, Max Mignotte, Jean-Paul Soucy, Jean...
JAR
2010
122views more  JAR 2010»
13 years 2 days ago
Partial and Nested Recursive Function Definitions in Higher-order Logic
Based on inductive definitions, we develop a tool that automates the definition of partial recursive functions in higher-order logic (HOL) and provides appropriate proof rules for ...
Alexander Krauss
JAR
2010
160views more  JAR 2010»
13 years 3 months ago
MetiTarski: An Automatic Theorem Prover for Real-Valued Special Functions
Many theorems involving special functions such as ln, exp and sin can be proved automatically by MetiTarski: a resolution theorem prover modified to call a decision procedure for ...
Behzad Akbarpour, Lawrence C. Paulson
SIAMCOMP
2008
72views more  SIAMCOMP 2008»
13 years 5 months ago
Plottable Real Number Functions and the Computable Graph Theorem
The Graph Theorem of classical recursion theory states that a total function on the natural numbers is computable, if and only if its graph is recursive. It is known that this res...
Vasco Brattka