This paper presents a method to translate a proof in an extensional version of the Calculus of Constructions into a proof in the Calculus of Inductive Constructions extended with a few axioms. We use a specific equality in order to translate the extensional conversion relation into an intensional system.

background: light is an important and adjustable physical factor in the job environment.this study aimed to determine the intensity of natural and mixed light and also the level of ultraviolet radiation in libraries and computer sites of ilam universities in spring 2011.   methods: in this cross-sectional study, 10 libraries, 16 study saloons, and 7 computer sites were selected. luminosity asse...

We investigate the isomorphism types of combinatorial geometries arising from Hrushovski’s flat strongly minimal structures and answer some questions from Hrushovski’s original paper.

In this paper, six constructions of difference families are presented. These constructions make use of difference sets, almost difference sets and disjoint difference families, and give new point of views of relationships among these combinatorial objects. Most of the constructions work for all finite groups. Though these constructions look simple, they produce many difference families with new...

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in this paper we introduce the construction of free profinite products of profinite groups withcommuting subgroups. we study a particular case: the proper free profinite products of profinite groups with commuting subgroups. we prove some conditions for a free profinite product of profinite groups with commuting subgroups to be proper. we derive some consequences. we also compute profinite comp...

Despite the utilization of several earthquake resistant traditional techniques in Iranian architecture throughout the centuries, the high seismic vulnerability of Iranian vernacular constructions is obvious. One of the latest innovations in building earthquake-proof emergency dwellings, prior to introducing the modern seismic design codes, took place during the successive destructive earthqu...

My objective in this paper i s to provide a contrastive analysis of partitives in English and Italian. The differences between these two languages appear to be representat ive of the di fferences prevail ing throughout the Romance and Germanic families and thus i t is hoped that the analysis to be offered wil l be of more general appl icabil i ty . I will couch my proposal within an approach to...

We show how to extract classical programs expressed in Krivine λc-calculus from proof-terms built in a proof-irrelevant and classical version of the calculus of constructions with universes. For that, we extend Krivine’s realisability model of classical second-order arithmetic to the calculus of constructions with universes using a structure of Πset which is reminiscent of ω-sets, and show that...