Algebraic semantics

Algebraic semantics (mathematical logic) - Wikipedi

Paoli F. (2002) Algebraic Semantics. In: Substructural Logics: A Primer. Trends in Logic (Studia Logica Library), vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3179-9_6. DOI https://doi.org/10.1007/978-94-017-3179-9_6; Publisher Name Springer, Dordrecht; Print ISBN 978-90-481-6014-3; Online ISBN 978-94-017-3179- Algebraic semantics for nonclassical propositional logics providesus a powerful tool in studying logical properties whichare commonamong logics.many In fact,it has been producinga lot interestingof general results the byhelp universal of algebraic methods. On the otherhand,it seems that therehave been littleprogressin the stud These cookies are necessary for the website to function and cannot be switched off in our systems. They are usually only set in response to actions made by you which amount to a request for services, such as setting your privacy preferences, logging in or filling in forms

An alternative approach, pioneered by Scott and Strachey, is called denotational semantics: it offers algebraic techniques for characterizing the denotation of (i. e., the function computed by) a program-the properties of the program can then be checked by direct comparison of the denotation with the specification To obtain algebraic semantics, we redefine our own algebraic approach generat-ing rewrite terms via partial operations of synchronous composition, concurrent composition and sequential composition. These terms are used to produce so-structures which define causal behavior consistent with the (operational) step semantics. For concrete Petri net classes with causal semantics derived from.

algebra-geometry (syntax-semantics) for a large class of quantum al-gebras, extending that duality to the non-commutative realm. C-algebras correspond to the real parts of a Zariski geometries. 3 Rational Weyl algebras and algebraic Hilbert spaces In this paper we will be interested in the Heisenberg-Weyl algebra A gener- ated by Pand Qthe \co-ordinates of one-dimensional quantum mechanics1. •In algebraic semantics one usually models only unstructured parthood. • This contrasts with lexical semantics, which concerns itself with structured parthood (e.g. Cruse >FEC). •Mereology started as an alternative to set theory; instead of 2and there is only . •In algebraic semantics, mereology and set theory coexist Tx provides a definitive semantics for algebraic operations added to the computational Ł-calculus. We recall a definition for which we have elsewhere given adequacy results for both big and small step operational semantics, and we show that it is equivalent to a range of other possible natural definitions of algebraic operation. We outline examples and non-examples and we show that our definitio

Algebraic semantics (computer science) - Wikipedi

Algebraic Semantics SpringerLin

Algebraic semantics (computer science) — in terms of algebras Denotational semantics — by translation of the program into another language Operational semantics — in terms of the state of the computatio Algebraic semantics; Formal semantics (natural language) References. Jaakko Hintikka (2007), Socratic Epistemology: Explorations of Knowledge-Seeking by Questioning, Cambridge: Cambridge University Press.; Ilkka Niiniluoto (1999), Critical Scientific Realism, Oxford: Oxford University Press

This paper studies how the algebraic semantics for Verilog relates with its denotational semantics. The tradi-tional way for linking denotational and algebraic semantics is that algebraic semantics can be explored based on the achieved denotational semantics. In general, this is one of the aims for the formalization of the denotational semantics •In algebraic semantics one usually models only unstructured parthood. •Mereology started as an alternative to set theory; instead of 2and there is only . •In algebraic semantics, mereology and set theory coexist. •The most common axiom system is classical extensional mereology (CEM). • The order-theoretic axiomatization of CEM starts with as a partial order (a reWexive, transitive. We present an algebraic semantics for Duration Calculus based on semirings and quantales. Duration Calculus was originally introduced in 1991 as a powerful logic for specifying the safety of real-time systems. We embed the Duration Calculus into the theory of Boolean semirings and extend them to Kleene algebras and Omega-algebras, respectively, to express finite and infinite iteration. This allows us to calculate easily with the safety requirements and to see special results of the Duration.

algebraic semantics Encyclopedia

  1. torial Semantics of Algebraic Theories and had carried them much further; one of his four colloquium lectures at that meeting was devoted to new results in that area found in col-laboration with [Eilenberg & Wright, 1967]. In that period of intense advance, not onl
  2. Algebraic Semantics of EMOF/OCL Metamodels Artur Boronat and Jos´e Meseguer Department of Information Systems and Computation, Technical University of Valencia. Department of Computer Science, University of Illinois at Urbana-Champaign. aboronat@dsic.upv.es meseguer@uiuc.edu Abstract. Model-Driven Development is a field in Software Engineer- ing that, for several years, has represented.
  3. Lattices of DNA-Logics and Algebraic Semantics of Inquisitive Logic MScThesis(Afstudeerscriptie) writtenby DavideEmilioQuadrellaro (bornMay31st,1993inMilano,Italia.
  4. This Festschrift volume, published to honor Peter D. Mosses on the occasion of his 60th birthday, includes 17 invited chapters by many of Peters coauthors, collaborators, close colleagues, and former students

Algebraic Semantics of Imperative Programs presents a self-contained and novel executable introduction to formal reasoning about imperative programs. The authors' primary goal is to improve programming ability by improving intuition about what programs mean and how they run. The semantics of imperative programs is specified in a formal, implemented notation, the language OBJ; this makes the. Algebraic Semantics of Imperative Programs. Joseph Goguen and Grant Malcolm, MIT Press, 1996. ISBN -262-07172-X. This book is a novel self-contained executable introduction to formal reasoning about imperative programs, and can be used as a text for a standard course on the semantics of imperative programs Relational algebraic semantics of programs 125 with relational algebraic means (cf. [ 15, 20]). In contrast to [8], the characterization of the direct product will be given by a first order construction. In Section 3, the syntax and semantics of the deterministic functional programming language DFP will be defined. The last part of this section contains examples of program schemes. We shall. mttial algebra semantics by combining the algebraic insights of Burstall. Landin, and Morris with the (lamce-) order-theoretic ideas of Scott and Strachey. We consider solutions of equations in continuous algebras and show, for example, how Scott's lattice of flow diagrams [61] is a specml case ~ an inttial continuous algebra. Section 2 makes the notion of many-sorted algebra precise. That.

Algebraic Semantics and Model Completeness for Intuitionistic Public Announcement Logic Minghui Ma, Alessandra Palmigiano, Mehrnoosh Sadrzadeh TACL 2011, Marseille 28 July 2011 Minghui Ma, Alessandra Palmigiano, Mehrnoosh Sadrzadeh Algebraic Semantics and Model Completeness for Intuitionistic Public PAL Minghui Ma, Alessandra Palmigiano, Mehrnoosh Sadrzadeh Algebraic Semantics and Model. Algebraic semantics is one type of semantics that uses algebraic expressions for connecting the formal descriptions of initial and final states of some operation of some operation that is defined in the programming language. I can not imagine more general and more versatile semantics, but yet - it is not used in today research. Why is that? Traditionally symbolic methods were considered quite. Esta página fue editada por última vez el 14 de diciembre de 2020, a las 17:47 (UTC).; El texto está disponible bajo la licencia Creative Commons Attribution-ShareAlike; se pueden aplicar términos adicionales.Al utilizar este sitio, acepta los Términos de uso y la Política de privacidad.Wikipedia® es una marca registrada de Wikimedia Foundation, Inc., una organización sin fines de lucro

Semantik in der Mathematischen Logik. In der formalen Logik ist die Semantik ein Teilgebiet, das in das Gebiet der Modelltheorie fällt. Das Gegenstück zur formalen Semantik ist in der Logik die formale Syntax, bei der es um mechanische (das heißt: inhaltlich unbestimmte) Operationen mit bedeutungslosen Symbolen im Rahmen von Kalkülen geht. . Erst durch eine zur Syntax passende Semantik. Relational Algebra has two semantics: • Set semantics • Bag semantics Dan Suciu -- 444 Spring 2010 7 . Dan Suciu -- 444 Spring 2010 Extended Algebra Operators • Union ∪, intersection ∩, difference - • Selection σ • Projection Π • Join ⨝. An algebraic semantics of event-based architectures - Volume 17 Issue 5. We propose a mathematical semantics for event-based architectures that serves two main purposes: to characterise the modularisation properties that result from the algebraic structures induced on systems by this discipline of coordination; and to further validate and extend the categorical approach to architectural.

In two of the earliest papers on extending modal logic with propositional quantifiers, R. A. Bull and K. Fine studied a modal logic S5 Π extending S5 with axioms and rules for propositional quantification. Surprisingly, there seems to have been no proof in the literature of the completeness of S5 Π with respect to its most natural algebraic semantics, with propositional quantifiers. Algebraic semantics. [Irène Guessarian] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create lists, bibliographies and reviews: or Search WorldCat. Find items in libraries near you. Advanced Search Find a Library. In particular, Goguen et al. (1977) demonstrated how the initial algebra semantics unifies a great number of semantic formalisms, and elegantly answers the questions of what is syntax and what is semantics. Recently, algebraic effects put algebras into spotlight once again. The tagless-final approach is another application of algebras, very closely related to the initial algebra semantics. The. An algebraic semantics for MOF The practical usefulness of a formal semantics for a language is that it provides a rigorous standard that can be used to judge the correctness of an implementation. For example, if a programming language lacks a formal semantics, compiler writers may interpret the informal semantics of the language in different ways, resulting in possibly inconsistent and. Semantics and Algebraic Specification: Essays Dedicated to Peter D. Mosses on the Occasion of His 60th Birthday (Lecture Notes in Computer Science / Notes in Computer Science (5700), Band 5700) | Palsberg, Jens | ISBN: 9783642041631 | Kostenloser Versand für alle Bücher mit Versand und Verkauf duch Amazon

Algebraic semantics - Wikipedi

Of homotopy type theory. See categorical semantics of homotopy type theory.. Examples. models in presheaf toposes; Terminology. Most usage in mathematics of the adjective categorical in relation to category theory is a shorthand, and arguably an unfortunate one, for category theoretic, i.e. for as seen through the lens of, hence as treated with the concepts and tools of category. A General Algebraic Semantics for Sentential Logics; A General Algebraic Semantics for Sentential Logics. A General Algebraic Semantics for Sentential Logics. Search within full text. Get access. Buy the print book Check if you have access via personal or institutional . Log in Register Recommend to librarian 2nd edition Josep Maria Font, Universitat de Barcelona, Ramon Jansana. Idea. A mathematical structure is essentially algebraic if its definition involves partially defined operations satisfying equational laws, where the domain of any given operation is a subset where various other operations happen to be equal. An actual algebraic theory is one where all operations are total functions.. The most familiar example may be the notion of category: a small category.

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Functorial Semantics of Algebraic Theories and Some Algebraic Problems in the context of Functorial Semantics of Algebraic Theories F. William Lawver Algebraic semantics for the (↔, ¬¬)‐fragment of IPC Algebraic semantics for the (↔, ¬¬)‐fragment of IPC Słomczyńska, Katarzyna 2012-02-01 00:00:00 We show that the variety of equivalential algebras with regularization gives the algebraic semantics for the (↔, ¬¬)‐fragment of intuitionistic propositional logic. We also prove that this fragment is hereditarily structurally.

Algebraic Semantics — the University of Groningen research

  1. As mentioned above, algebraic semantics for R and closely related systems have already been introduced. However, to our knowledge, a uniform way of introducing the systems has not yet been provided in the tradition of relevance logic. Some of R and closely related systems have been introduced as axiomatic extensions/expansions of the basic (relevance) logic B based on distributive lattices.
  2. In particular he developed action semantics, a combination of denotational, operational and algebraic semantics. The presentations - given on a symposium in his honor in Udine, Italy, on September 10, 2009 - were on subjects related to Peter's many technical contributions and they were a tribute to his lasting impact on the field. Topics addressed by the papers are action semantics, security.
  3. al algebra approach, and (3) the loose approach. A fourth approach that is mainly of theoretical interest uses iso-initial algebras. This chapter reviews the basic concepts for the theory of algebraic specifications. It also describes the notion of an abstract data type and.
  4. Algebraic semantics is a universal tool that can be used for any logic. In particular, for any arbitrary fuzzy logic studied in the literature (even those not supporting a t-norm based semantics such as finite-valued fuzzy logics or the logic of non-commutative uninorms) one can find a corresponding class of algebras which can be decomposed as subdirect products of chains. This fact has led.
Quantifier (logic) - Alchetron, The Free Social EncyclopediaUgo MONTANARI | Università di Pisa, Pisa | UNIPI

In MathML there are two ways to mark up mathematics: Presentation MathML is used to control the layout of equations, whereas Content MathML is designed to encode the semantic mathematical meaning and to make expressions understandable to computer algebra systems. The MathML elements <semantics>, <annotation> and <annotation-xml> are used to combine presentation and content markup and to. T1 - Weak islands and an algebraic semantics for scope taking. AU - Szabolcsi, A. AU - Zwarts, Frans. PY - 1997. Y1 - 1997. M3 - Chapter. SP - 217. EP - 262. BT - Ways of scope taking, Studies in Linguistics and Philosophy. A2 - Szabolcsi, A. PB - Kluwer Academic Publishers. CY - Dordrecht/Boston/London . ER - Szabolcsi A, Zwarts F. Weak islands and an algebraic semantics for scope taking. In.

Algebraic Semantics - University of California, San Dieg

This is an attempt to generalise algebra so that it can be studied independently of any specific algebra, such as number algebra or matrix algebra. We can divide it into syntax and semantics: Syntax. The functions and operations in an algebra are often in a form like this: f: X n → X So, for example, we may have an operation (say addition) that takes two operands and returns a single value. Semantics and Pragmatics. Please consider a donation to support keeping Semantics and Pragmatics free for both authors and readers by making a contribution to the Linguistic Society of America 's Open Access Publishing Program here. We gratefully acknowledge support from the University of Amsterdam's Diamond Open Access Fund

Algebraic Propositional Logic (Stanford Encyclopedia of

  1. Algebraic Kripke-Style Semantics for Relevance Logics Algebraic Kripke-Style Semantics for Relevance Logics Yang, Eunsuk 2013-06-19 00:00:00 This paper deals with one kind of Kripke-style semantics, which we shall call algebraic Kripke-style semantics, for relevance logics. We first recall the logic R of relevant implication and some closely related systems, their corresponding algebraic.
  2. Translation of algebraic semantics in English. Translate algebraic semantics in English online and download now our free translator to use any time at no charge
  3. To workers in algebraic geometry and analysis, it may appear somewhat excessive to detour through an elaborate Mitchell-Bénabou language which in turn requires a Kripke-Joyal semantics in order to get back at the mathematical content of a specific topos. (That sometimes-recommended procedure is strictly analogous to defining a group to be the quotient of the free group generated by itself.
  4. For a similar reason, in order to understand the semantics of the whole algebra , we need to take into account all the , i.e. the whole category . Following the section above, we can construct a category of Zariski geometries which consists of objects V A, for , and morphisms p AB:V B → V A, B⊆A. This category is a sheaf on the category . In the model-theoretic setting, can be seen as a.
  5. Algebraic Approaches To Program Semantics Michael A, Talking About William Faulkner: Interviews With Jimmy Faulkner And Others (Southern Literary Studies) Jim Faulkner, Capital Budgeting Techniques F. M. Wilkes, Smart People Should Build Things: How To Restore Our Culture Of Achievement, Build A Path For Entrepreneurs, And Create New Jobs In America Andrew Yan
  6. g and specification languages, which, because of its intuitive appeal and flexibility, has found considerable application in the theory of concurrent processes.

Algebraic Approaches to Program Semantics SpringerLin

1.2 Algebraic Semantics; 1.3 Game Semantics; We discuss these in turn. 1.1 Standard Logical Matrices. The most suitable way of defining a system \(\bS\) of many-valued logic is to fix the characteristic logical matrix for its language, i.e. to fix: the set of truth degrees, the truth degree functions which interpret the propositional connectives, the meaning of the truth degree constants, the. Finden Sie Top-Angebote für Algebraic approaches to program semantics. Texts and monographs in computer scie bei eBay. Kostenlose Lieferung für viele Artikel BibTeX @INPROCEEDINGS{Fiadeiro99algebraicsemantics, author = {J. Fiadeiro and A. Lopes}, title = {Algebraic Semantics of Coordination or, what is in a signature?}, booktitle = {Proceedings of the 7th International Conference on Algebraic Methodology and Software Technology (AMAST'98), Amazonia, Brasil, Lecture Notes in Computer Science}, year = {1999}, pages = {293--307}, publisher = {Springer} Algebraic graphs. Alga is a library for algebraic construction and manipulation of graphs in Haskell. See this Haskell Symposium paper and the corresponding talk for the motivation behind the library, the underlying theory and implementation details. There is also a Haskell eXchange talk, and a tutorial by Alexandre Moine. Main idea. Consider the following data type, which is defined in the.

[2106.10931] Algebraic Semantics for the Logic of Proof

A General Algebraic Semantics for Sentential. Sentential Negation in. An Essay In. Computing Meaning: Volume and Language Technology . Sentential Complements (Cognitive Representation of Cognitive Linguistics Research [CLR], Fortschritte sonstiger Nutzer von Sentential semantics. Recherchen offenbaren, dass die meisten Konsumenten mit Sentential semantics ungemein zufrieden sind. Die Resultate. Algebraic semantics (1994) Cached. Download Links [www.kmi.tugraz.at] [kmi.tugraz.at] [ceur-ws.org] [markusstrohmaier.info] Save to List; Add to Collection; Correct Errors; Monitor Changes; by Claudia Wagner , Markus Strohmaier , Yulan He Venue: Semantic Structures, volume 3 of Handbook of Logic in Computer Science: Citations: 6 - 0 self: Summary; Citations; Active Bibliography; Co-citation. Combinatorial Algebra: Syntax and Semantics provides comprehensive account of many areas of combinatorial algebra. It contains self-contained proofs of more than 20 fundamental results, both classical and modern. This includes Golod-Shafarevich and Olshanskii's solutions of Burnside problems, Shirshov's solution of Kurosh's problem for PI rings, Belov's solution of Specht's problem for.

Algebraic semantics (computer science) - WikiMili, The

Algebraic semantics (computer science): | In |computer science|, |algebraic semantics| is a form of |axiomatic semantics| based on World Heritage Encyclopedia, the aggregation of the largest online encyclopedias available, and the most definitive collection ever assembled Algebraic Semantics Optional course, 16 lectures in Hilary Term Prof J Goguen and Dr G Malcolm. Aims Roughly speaking the most popular approaches to the semantics of imperative languages divide into two groups: the axiomatic and the denotational. The approach described in these lectures might be called algebraic denotational semantics. We give an equational specification for a class of.

Algebraic semantics by Irène Guessarian, 1981, Springer-Verlag edition, in Englis Algebraic Semantics of Imperative Programs presents a self-contained and nove Algebraic semantics — In logic, algebraic semantics is a formal semantics based on algebras. For example, the modal logic S4 is characterized by the class of topological boolean algebras mdash;that is, boolean algebras with an interior operator. Other modal logics are Synopsis : Semantics and Algebraic Specification written by Jens Palsberg, published by Springer Science & Business Media which was released on 28 August 2009. Download Semantics and Algebraic Specification Books now Covert distributivity in algebraic event semantics. Lucas Champollion. Semantics and Pragmatic

Algebraic Approaches to Program Semantics Buch

View Academics in Algebraic Semantics on Academia.edu Algebraic semantics interprets the program by defining an algebra. Axiomatic semantics determine the meaning of a program by building assertions about an association that detain at each point in the execution of the program (i.e. implicitly). Operational semantics compares the languages to the abstract machine, and the program is then evaluated as a sequence of the state transitions. algebraic semantics的中文翻譯,algebraic semantics是什麼意思,怎麽用漢語翻譯algebraic semantics,algebraic semantics的中文意思,algebraic semantics的中文,algebraic semantics in Chinese,algebraic semantics怎麼讀,发音,例句,用法和解釋由查查在綫詞典提供,版權所有違者必究 Проверьте 'algebraic semantics' перевод на русский. Смотрите примеры перевода algebraic semantics в предложениях, слушайте произношение и изучайте грамматику

algebraic semantics in a sentence - Use algebraic semantics in a sentence and its meaning 1. CSP has been imbued with several different algebraic semantics, and operational semantics. 2. Likewise, monadic Boolean algebras supply the algebraic semantics for S5 . click for more sentences of algebraic semantics.. Algebraic Semantics. Guessarian, I Logic design Logics and Meanings of Programs. Imprint: Springer 1981 1st ed. 1981. EISBN 3540384170. 1 â Introduction. 2 â Magmas, algebras and trees. 3 â Program schemes. 4 â Semantics. 5 â Classes of interpretations. 6 â Program transformations. Read: Eu03.alma.exlibrisgroup.com; Like; Tweet +1; Agriculture. Agriculture - All 4759; Agriculture. Algebraic Semantics by I. Guessarian, unknown edition, Hooray! You've discovered a title that's missing from our library.Can you help donate a copy Download Algebraic Approaches to Program Semantics (Monographs in Computer Science) by Ernest G. Manes (1986-09-10) PDF International bestseller Download Algebraic Approaches to Program Semantics (Monographs in Computer Science) by Ernest G. Manes (1986-09-10) PDF This book is very interesting and can increase creativity in you. Read the Algebraic Approaches to Program Semantics (Monographs in.

Semantics and Algebraic Specification Essays Dedicated to Peter D. Mosses on the Occasion of His 60th Birthday und Verleger Springer. Sparen Sie bis zu 80% durch die Auswahl der eTextbook-Option für ISBN: 9783642041648, 3642041647. Die Druckversion dieses Lehrbuchs hat ISBN: 9783642041648, 3642041647 Bibliographic Details; Algebraic semantics / Irène Guessarian. Author / Creator: Guessarian, Irène, 1948-Imprint: Berlin ; New York : Springer-Verlag, 1981 Then we turn to the algebraic semantics, where both logics have substantive limitations: DF/TT allows for algebraic completeness, but not for the construction of a canonical model, while CC/TT fails the construction of a Lindenbaum-Tarski algebra. With these results in mind, we draw up the balance and sketch future research projects. Keywords No keywords specified (fix it) Categories Logic and. Algebraic Approaches to Program Semantics von Ernest G. Manes, Michael A. Arbib - Englische Bücher zum Genre Informatik günstig & portofrei bestellen im Online Shop von Ex Libris

Read An algebraic semantics of subobjects on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips 2 Algebraic Semantics of a Sequential Java Subset We present some of the highlights of the semantics of our chosen Java subset. We do not show the whole syntax, state infrastructure and actual semantics be-cause of space limitations. However, the whole definition is available on the web at [23]. The Java fragment we are interested in includes arithmetic expressions, assignments, sequential.

The main aim of this paper is an extension of the theory of algebraic graph transformation systems by a loose semantics. For this purpose, graph transitions are introduced as a loose interpretation of graph productions. They are defined using a double pullback construction in contras The leading idea is, in broad strokes, to take the traditional logical distinction between syntax and semantics and analyze it in terms of the classical mathematical distinction between algebra and geometry, with syntax corresponding to algebra and semantics to geometry. Extending the duality between Boolean algebras and Stone spaces, Forssell derives a duality between Boolean coherent. Algebraic Semantics 162. by I. Guessarian. Paperback (1981) $ 29.99. Ship This Item — Qualifies for Free Shipping Buy Online, Pick up in Store Check Availability at Nearby Stores. Sign in to Purchase Instantly. Choose Expedited Shipping at checkout for delivery by Thursday, June 17. English 3540102841. 29.99 In Stock Product Details; Table of Contents; Product Details. ISBN-13: 9783540102847. The algebra of recursive graph transformation language UnCAL: complete axiomatisation and iteration categorical semantics - Volume 28 Issue 2. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites • In meaning 2, semantics can be followed by a singular or plural verb: The semantics of this phrase is/are difficult to pin down. Examples from the Corpus semantics • The algebraic laws thus yield an algebraic semantics for occam that is isomorphic to our chosen denotational semantics

Axiomatic semantics - Wikipedi

semantics ( uncountable ) ( linguistics) A branch of linguistics studying the meaning of words. [1893] Semantics is a foundation of lexicography. The study of the relationship between words and their meanings. quotations . 2006, Patrick Blackburn, Johan Bos, and Kristina Striegnitz, Learn Prolog Now! ‎ [1], section 8.1 of polymorphism and overloading, partial operations (as total on equationally defined subsorts), exception handling, and an operational semantics based on term rewriting. We give the basic algebraic constructions for OSA, including quotient, image, product and term algebra, and we prove their basic propertie

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