A Generic Strong Normalization Argument: Application to the Calculus of Constructions
نویسندگان
چکیده
Hyland and Ong HO93] recently showed that given an arbitrary (right-absorptive) conditionally partial combinatory algebra (c-pca), there is a systematic way to construct a Kreisel-style modiied realizability topos which has more than suucient completeness properties to provide a categorical semantics for a wide range of higher type theories. Based on the topos generated from the c-pca of an appropriate quotient of the strongly normalising untyped-terms (where is just a formal constant), they obtained a \generic" strong normalization argument. This argument reduces the strong normalization property of a class of higher type theories (up to F !) to the validity of two \stripping arguments" which are reasonably easy to verify. This paper reports work which carries the same programme a step further. We illustrate the general applicability and simplicity of the argument by bringing it to bear on the demanding test case of Coquand and Huets' Calculus of Constructions.
منابع مشابه
Modified Realizability Toposes and Strong Normalization Proofs
This paper is motivated by the discovery that an appropriate quotient SN 3 of the strongly normalising untyped 3-terms (where 3 is just a formal constant) forms a partial applicative structure with the inherent application operation. The quotient structure satises all but one of the axioms of a partial combinatory algebra (pca). We call such partial applicative structures conditionally partial ...
متن کاملConvertible limited (multi-) verifier signature: new constructions and applications
A convertible limited (multi-) verifier signature (CL(M)VS) provides controlled verifiability and preserves the privacy of the signer. Furthermore, limited verifier(s) can designate the signature to a third party or convert it into a publicly verifiable signature upon necessity. In this proposal, we first present a generic construction of convertible limited verifier signature (CLVS) into which...
متن کاملExpanding the Cube
We prove strong normalization of-reduction+-expansion for the Calculus of Constructions , thus providing the rst strong normalization result for-reduction+-expansion in calculi of dependent types and answering in the aarmative a conjecture by Di Cosmo and Ghani. In addition, we prove strong normalization of-reduction+-expansion+algebraic reduction for the Algebraic Calculus of Constructions, wh...
متن کاملLocative Constructions in English Interlanguage: A Study of the Acquisition of Argument Realization in English by Iranian EFL Learners
Locative constructions, as an instance of double object constructions with various cognitive-linguistic concepts, have been successful in attracting the linguists. This paper tried to evaluate the acquisition of English locative constructions by Persian native speakers in the absence of negative evidence, focusing on the influence of L1 and participants’ proficiency level in the course of acqui...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1993