Results 281 to 290 of about 698,564 (314)
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Set theory with free construction principles
1983In set theory with the axiom of foundation, the \(\in\)-relations on transitive classes are up to isomorphism just the extensional well-founded relations. In the absence of the axiom of foundation one may require various axioms of universality (e.g. that every binary relation (which is extensional) has an homomorphism (an isomorphism, resp.) onto the \(
FORTI, MARCO, HONSELL F.
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Equalisers of Frames in Constructive Set Theory
2011In a recent note (Palmgren, 2005) Erik Palmgren has shown that, in a sufficiently strong version of Martin-Lof’s type theory (Martin-Lof, 1984) the category of set-presented formal topologies has coequalisers. We refer the reader to (Palmgren, 2005) for the background motivation for this result.
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A constructive set theory for program development
1988We present a constructive theory of types and kinds (called TK5) designed with program development as the major desideratum. We motivate its definition with respect to existing research in the area of program logics (in particular Martin-Lof's theory of types) and establish suitable infrastructure for program extraction from proofs of specifications.
Martin C. Henson, Raymond Turner
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Set Theory: Constructive and Intuitionistic ZF
2009Introduzione alla teoria costruttiva degli ...
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Constructive Hovels for Set Theory with Extensionalitv
1982Publisher Summary This chapter discusses various constructive models for set theory with extensionality. There are two well-known methods that can be used to interpret J.Myhill-style extensional constructive set theories within subsystems of analysis and S.Feferman-style constructive systems of functions and classes.
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The Existence Property in Constructive Set Theory
1985This chapter is primarily of technical interest, in the sense that nothing in the rest of the book depends upon it, and in the sense that the proofs are rather complicated. Nevertheless, the existence property has attracted considerable attention, since many people feel a constructive theory “ought to” have the existence property.
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Domain Theory and Realisability over Scott’s D∞ in Constructive Set Theory
Eman Dihoum +2 more
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Poly(ADP-Ribose) polymerase (PARP) inhibitors: Exploiting a synthetic lethal strategy in the clinic
Ca-A Cancer Journal for Clinicians, 2011Timothy A Yap, Johann Sebastian de Bono
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Computational predictions of energy materials using density functional theory
Nature Reviews Materials, 2016Anubhav Jain +2 more
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Theory-guided design of catalytic materials using scaling relationships and reactivity descriptors
Nature Reviews Materials, 2019Zhi-Jian Zhao, Sihang Liu, Shenjun Zha
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