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Monday, July 27, 2020 | History

2 edition of Power domains, modalities and the vietoris monad. found in the catalog.

Power domains, modalities and the vietoris monad.

E. Robinson

Power domains, modalities and the vietoris monad.

by E. Robinson

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Published by University of Cambridge, Computer Laboratory in Cambridge .
Written in English


Edition Notes

SeriesTechnical report -- No.98
ContributionsUniversity of Cambridge. Computer Laboratory.
The Physical Object
Pagination16p.
Number of Pages16
ID Numbers
Open LibraryOL13934390M

This generalizes Johnstone's construction of the Vietoris powerlocale, in the sense that his construction is obtained by taking for T the finite covariant power set funtor. Our construction of the T -powerlocale V T L out of a frame L is based on ideas from coalgebraic logic and makes explicit the connection between the Vietoris construction. A Brief History of Power This timeline is the culmination of research into the history of power in whatever form it takes. Starting with the end of the Roman Empire, we can see how power fractured and spread throughout history right up to the early 22nd century.

  The domain is owned by Urs Schreiber. The n n Lab server is hosted at Carnegie Mellon University, funded in the context of the HoTT MURI grant. The nLab runs on a server at Carnegie Mellon University that is supported by MURI grant FA from the Air Force Office of Scientific Research. power base if they learn to be considerate of their subordinates’ needs and feelings, treat them fairly, and defend their interests when acting as their representative" (p. ). Effective leaders combine the various bases and sources of power, electing to use them in appropriate situations. An effective leader rarely.

Many exercises require some basic knowledge of category theory; the necessary definitions can all be found in subsections of Chapter 0 of the book of J. Lambek and P.J. Sott or any book on.   Reward Power Compliance achieved based on the ability to distribute rewards that others view as valuable 18/3/ BASES OF POWER Legitimate Power The power a person receives as a result of his or her position in the formal hierarchy of an organization. Information Power Power that comes from access to and control over information.


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Power domains, modalities and the vietoris monad by E. Robinson Download PDF EPUB FB2

Technical Report Number 98 Computer Laboratory UCAM-CL-TR ISSN Power-domains, modalities and the Vietoris monad E. Robinson October Cited by: Robinson E () Power-domains, modalities and the Vietoris monad.

Technical Report UCAM-CL-TR, University of Cambridge, Computer Laboratory, Oct Google Scholar Cited by: 5. Power domains as free models of theories of non-determinism. Domain theorists have come to understand power domains abstractly as free models for theories of non-determinism.

Just as the finite-powerset construction is the free semilattice, the powerdomain constructions should be understood abstractly as free models of theories of non-determinism. The connected Vietoris powerlocale is defined as a strong monad Vc on the category of locales.

VcX is a sublocale of Johnstone's Vietoris powerlocale VX, a localic analogue of the Vietoris Author: Steven Vickers. Plotkin, G. () Postgraduate Lecture Notes in Advanced Domain Theory, Dept of Computing Science, University of Edinburgh. Google Scholar; Robinson, E. () Power-domains, modalities and the Vietoris monad.

Technical Rep Computer Laboratory, University of Cambridge. Google Scholar; Stone, M. () The representation of Boolean Author: VickersSteven. powerdomain Aas ˚ranges over the open sets of the base domain X. In fact the point of Robinson’s paper was to show that the powerdomain is a special case of Johnstone’s [] Vietoris monad, which had already been generalised from a construction on metric spaces due originally to Hausdor.

Robinson, E.: Powerdomains, modalities and the Vietoris monad. Technical report, Computer Laboratory Technical Rep University of Cambridge () Google Scholar Whereas best-selling self-help books today, such as The Secret by Rhonda Byrne, encourage you to seek power in and from the SELF, The Power can only be found outside of the SELF.

O LORD, I know that the way of man is not in himself: it is not in man that walketh to direct his steps. Jer. To receive The Power, prepare yourselves to go first.

Michel Foucault’s understanding of power shifts between his early work on “total institutions” and his later work on governmentality and sexuality. In this paper, I will attend to the transformation of power, as Foucault’s conceptualization of it changes between the earlier and later parts of his work.

To do this, I will begin by discussing power. Q(X) has a rich theory, much like H(X), the Hoare powerspace with the lower Vietoris topology. This was explored in previous posts.

This is called the Smyth powerspace monad. Oh yes, this was shown to be a monad by Andrea Schalk again [2]. In fact, Q(X) with the upper Vietoris topology is the free unital deflationary sober semi-lattice on X.

The Vietoris monad on the category of compact Hausdorff spaces is a topological analogue of the power-set monad on the category of sets. We show in particular that the description of several.

Power-domains, modalities and the Vietoris monad. Robinson. October16 pages Abstract. It is possible to divide the syntax-directed approaches to programming language semantics into two classes, “denotational”, and “proof-theoretic”. This paper argues for a different approach which also has the effect of linking the two methods.

While the probabilistic power domain (as the family of probability measures over a domain is called) forms a monad on the category of directed complete partial orders, there is no distributive law between this monad and any of the three nondeterminism monads over domains (cf.), so according to Beck's Theorem the composition of the.

Power-domains, modalities and the Vietoris monad. Technical Rep Computer Laboratory, University of Cambridge. Google Scholar. Sambin, G. Intuitionistic formal spaces—a first communication.

Smyth, M. Power domains. Journal of Computer and System Sciences, – CrossRef Google Scholar. Buy this book on. E.P. Robinson [] Power-domains, Modalities, and the Vietoris Monad, Cambridge University Computer Laboratory technical report no. 98, Google Scholar D.S.

Scott [] Domains for denotational semantics, in Automata, Languages and Programming, Proceedings of ICALP '82 (edited by M. Nielsen & E.M. Schmidt), Lecture Notes in Computer ScienceSpringer-Verlag (). () Abstract Valuations: A Novel Representation of Plotkin Power Domain and Vietoris Hyperspace.

Electronic Notes in Theoretical Computer Science 6,   Power and domination are central concepts in social science yet, up to now, they have been undertheorized.

This wide-ranging book guides students through the complexities and implications of both concepts. It provides systematic accounts of current debates about the dynamics and rationale of state power in an era of globalization, social.

modeling modalities. The reason is that if we interpret modalities in a strong monad, then some unnatural formulas such as A A o B -+ o (A A B) become valid. In this sense, strong monads are too strong.

However, simple monads are too weak as the basis of program semantics. Power-domains, modalities and the Vietoris monad.

Article. E Robinson; View. Book. Jan ; Robert D. Tennent and Vietoris power locales. 2 We also use the method to give a partial answer. The codensity monad T G of this functor is the Vietoris monad on BStone.

Although this fact can be proved directly, it will follow at once from equation below, along with the fact that the Vietoris functor on BStone preserves codirected limits [6, (f)]. We briefly recall how the Vietoris monad. The codensity monad T G of this functor exists and it is the Vietoris monad on BStone defined in Example 1.

Although this fact can be proved directly, it will follow at once from equation (  The Vietoris power locale In this section we treat the power domains of continuous posets (though we shall usually call them power locales, because of our localic viewpoint).

The three main power domains (lower, or Hoare; upper, or Smyth; and convex, Plotkin, or Vietoris) are used in computer science in the semantics of nondeterminism - see [  Observationally-induced Effect Monads: Upper and Lower Powerspace Constructions Ingo Battenfeld 1 Fakulta¨t fu¨r Informatik TU Dortmund Dortmund, Germany Matthias Schro¨der 2 Fakulta¨t fu¨r Informatik Universita¨t der Bundeswehr Mu¨nchen, Germany Abstract Alex Simpson has suggested to use an observationally-induced approach towards modelling computational effects in.