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Journal of Logic and Computation Advance Access originally published online on August 12, 2006
Journal of Logic and Computation 2006 16(6):841-865; doi:10.1093/logcom/exl012
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© The Author, 2006. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Original Articles

Computability in Specification

Turner Raymond

Department of Computer Science, University of Essex, Colchester, Essex CO4 3SQ, UK.

E-mail: turner{at}essex.ac.uk


   Abstract

In reference (Foundation of specification. Journal of Logic and Computation, 15, 951–974, 2005), the author introduces a core specification theory (CST) in order to provide a logical framework for the design and exploration of specification languages. In this article, we formulate two highly expressive extensions of CST. The first (CSTU) is CST + a universe of types and the second (CSTUS) permits specifications themselves to be data items. Finally, we shall explore their metamathematical properties and, in particular, provide an interpretation into first-order arithmetic.

Keywords: Data; types; specification; {Sigma}-definable; conservative extensions; polymorphism


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