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CIE
2005
Springer
13 years 10 months ago
Domain-Theoretic Formulation of Linear Boundary Value Problems
Abstract. We present a domain theoretic framework for obtaining exact solutions of linear boundary value problems. Based on the domain of compact real intervals, we show how to app...
Dirk Pattinson
CIE
2005
Springer
14 years 2 months ago
How to Compare the Power of Computational Models
We argue that there is currently no satisfactory general framework for comparing the extensional computational power of arbitrary computational models operating over arbitrary doma...
Udi Boker, Nachum Dershowitz
CIE
2005
Springer
14 years 2 months ago
Computably Enumerable Sets in the Solovay and the Strong Weak Truth Table Degrees
The strong weak truth table reducibility was suggested by Downey, Hirschfeldt, and LaForte as a measure of relative randomness, alternative to the Solovay reducibility. It also occ...
George Barmpalias
CIE
2005
Springer
14 years 2 months ago
Computability in Computational Geometry
We promote the concept of object directed computability in computational geometry in order to faithfully generalise the wellestablished theory of computability for real numbers and...
Abbas Edalat, Ali Asghar Khanban, André Lie...
CIE
2005
Springer
14 years 2 months ago
The Transfinite Action of 1 Tape Turing Machines
• We produce a classification of the pointclasses of sets of reals produced by infinite time turing machines with 1-tape. The reason for choosing this formalism is that it appa...
Philip D. Welch