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Programs=data=first-class citizens in a computational world.

Neil D Jones¹, Jakob Grue Simonsen

¹Department of Computer Science, University of Copenhagen, Denmark.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|June 20, 2012

Summary

This summary is machine-generated.

This study reviews Alan Turing's foundational programming concepts and introduces the novel "blob" model of computation. The blob model offers enhanced physical realizability and treats programs as first-class citizens, advancing computability theory.

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Area of Science:

Theoretical Computer Science
Programming Language Theory
Models of Computation

Background:

Alan Turing's 1936 paper introduced fundamental programming concepts like self-interpreters and programs as data.
Subsequent developments in Models of Computation (MOCs) have significantly interacted with computability theory and programming language research.

Purpose of the Study:

To review Turing's programming contributions and their impact on MOCs.
To introduce and analyze the 'blob' MOC, a novel computational model.
To define traits of an 'ideal' MOC and compare the blob model against these criteria.

Main Methods:

Review of Turing's seminal work on computable functions from a programming perspective.
Systematic analysis of interactions between MOCs, computability theory, and programming language research.
Description and qualitative classification of selected MOCs, including the novel 'blob' model.

Main Results:

The 'blob' MOC is a stored-program model without pointers, treating programs as first-class citizens.
The blob model exhibits strong finiteness and adjacency properties, enhancing physical realizability.
It is strongly Turing complete, featuring a universal interpretation algorithm without arcane data encodings.

Conclusions:

The blob model represents a significant advancement in computational models, offering improved physical realizability and programming flexibility.
Comparison with an 'ideal' MOC highlights areas for future development in computational model design.
Further research is needed to fully realize the potential of the blob model and achieve an 'ideal' MOC.