Paper Info
Title
The church-turing thesis: breaking the myth
Abstract
According to the interactive view of computation, communication happens during the computation, not before or after it. This approach, distinct from concurrency theory and the theory of computation, represents a paradigm shift that changes our understanding of what is computation and how it is modeled. Interaction machines extend Turing machines with interaction to capture the behavior of concurrent systems, promising to bridge these two fields. This promise is hindered by the widespread belief, incorrectly known as the Church-Turing thesis, that no model of computation more expressive than Turing machines can exist. Yet Turing's original thesis only refers to the computation of functions and explicitly excludes other computational paradigms such as interaction. In this paper, we identify and analyze the historical reasons for this widespread belief. Only by accepting that it is false can we begin to properly investigate formal models of interaction machines. We conclude the paper by presenting one such model, Persistent Turing Machines (PTMs). PTMs capture sequential interaction, which is a limited form of concurrency; they allow us to formulate the Sequential Interaction Thesis, going beyond the expressiveness of Turing machines and of the Church-Turing thesis.
Year
DOI
Venue
2005
10.1007/11494645_20
CiE
Keywords
Field
DocType
turing machine,church turing thesis,paradigm shift,model of computation
DTIME,Church–Turing thesis,Computer science,NSPACE,Super-recursive algorithm,Theoretical computer science,Turing machine,Artificial intelligence,Turing,Non-deterministic Turing machine,Time hierarchy theorem
Conference
Volume
ISSN
ISBN
3526
0302-9743
3-540-26179-6
Citations 
PageRank 
References 
17
1.24
12
Authors
2
Name
Order
Citations
PageRank
Dina Goldin123619.14
Peter Wegner22049473.19