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標題: Titlebook: Refinement Calculus; A Systematic Introdu Ralph-Johan Back,Joakim Wright Textbook 1998 Springer Science+Business Media New York 1998 calcul [打印本頁]

作者: 灰塵    時間: 2025-3-21 16:22
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作者: 毀壞    時間: 2025-3-21 21:32
Ralph-Johan Back,Joakim von Wrightfactors: the properties of the substance in question (e. g. vapour pressure), the amount used, the method of application, the formulation, the weather conditions (such as wind speed, temperature, humidity), the nature of the crop and soil characteristics. Measurements at application sites reveal tha
作者: flimsy    時間: 2025-3-22 03:37
upon many factors: the properties of the substance in question (e. g. vapour pressure), the amount used, the method of application, the formulation, the weather conditions (such as wind speed, temperature, humidity), the nature of the crop and soil characteristics. Measurements at application sites reveal tha978-90-481-5329-9978-94-017-1536-2
作者: 反感    時間: 2025-3-22 04:48

作者: right-atrium    時間: 2025-3-22 09:13

作者: monopoly    時間: 2025-3-22 16:35
Ralph-Johan Back,Joakim von Wrightpport programs; increase paternity identification on children’s birth, health, school, and child welfare records; implement policies to improve overall living conditions of populations of men living on the margins; and recognize that established patterns of family relations take time and require pat
作者: Obscure    時間: 2025-3-22 20:09
Ralph-Johan Back,Joakim von Wrightpport programs; increase paternity identification on children’s birth, health, school, and child welfare records; implement policies to improve overall living conditions of populations of men living on the margins; and recognize that established patterns of family relations take time and require pat
作者: 影響帶來    時間: 2025-3-23 00:39
Ralph-Johan Back,Joakim von Wrightne, 2012). A 42-year-old woman has less than a 10% chance of having a baby with her own ova, even with advanced reproductive techniques (Centers for Disease Control, 2006). In stark contrast, the apparent ease with which highly visible Hollywood notables and television celebrities such as Warren Bea
作者: 共同時代    時間: 2025-3-23 04:58

作者: limber    時間: 2025-3-23 06:17

作者: Absenteeism    時間: 2025-3-23 13:00
Ralph-Johan Back,Joakim von Wrightaccounts of paternal love in sociology. While accounts of romantic love abound (Illouz 2012; Beck and Beck-Gernsheim 2014; Seebach 2017; Engdahl 2018), paternal love continues to remain curiously absent. Another reason could be a ‘blanket’ effect, whereby lesser-studied European populations such as
作者: 突變    時間: 2025-3-23 16:47
Ralph-Johan Back,Joakim von Wrightuffalo, New York, killing ten Black people fatally. Some were fathers and mothers. The suspect had allegedly written a document of 180 pages arguing that the decline of White birth rates equated to genocide, feeding White supremacist conspiracy theories (Jones 2022). Black father to a five-year-old
作者: 約會    時間: 2025-3-23 20:16
Ralph-Johan Back,Joakim von Wrightion of Manhattan. On the train, he looks at her, smiling, “I try not to yell too much, she’s a girl, so I gotta soften up. She knows she’s cute, it’s hard to say no sometimes”. I compliment on her hair that has been styled in a tight bun like a ballet dancer’s. He tells me, “Yesterday was the last d
作者: Palliation    時間: 2025-3-23 22:30
Ralph-Johan Back,Joakim von Wrightiety, this book will be of interest to students and scholars across a range of disciplines, including Men’s Studies, Gender Studies, Sociology, Psychology, Media Studies and Cultural Studies..978-1-349-95476-6978-1-137-58953-8Series ISSN 2731-6440 Series E-ISSN 2731-6459
作者: Anal-Canal    時間: 2025-3-24 03:27

作者: coalition    時間: 2025-3-24 10:14
Ralph-Johan Back,Joakim von Wrightiety, this book will be of interest to students and scholars across a range of disciplines, including Men’s Studies, Gender Studies, Sociology, Psychology, Media Studies and Cultural Studies..978-1-349-95476-6978-1-137-58953-8Series ISSN 2731-6440 Series E-ISSN 2731-6459
作者: 草本植物    時間: 2025-3-24 11:18

作者: insecticide    時間: 2025-3-24 16:30
Ralph-Johan Back,Joakim von Wrightghlighting the unique challenges and possibilities of father involvement in their children’s early years of development. Contributing authors have integrated theories, research, policies, and programs on father978-94-017-8427-6978-94-007-5155-2Series ISSN 2543-0610 Series E-ISSN 2543-0629
作者: rods366    時間: 2025-3-24 22:17
Choice Semanticste transformer semantics are abstractions of the game semantics in the sense that they can be determined from the game semantics for a statement. The converse does not hold, so the game semantics is more detailed than either of the other two. The choice semantics can be interpreted as describing a s
作者: hardheaded    時間: 2025-3-25 02:17
States and State Transformers that it can apply to a state in order to change the state in some desired way. By composing such state functions we can describe more complicated state changes. This gives us a first, very simple model of programs, where a program is seen as a total function from a set of initial states to a set of final states.
作者: cultivated    時間: 2025-3-25 06:21

作者: 熱情贊揚    時間: 2025-3-25 07:58
Correctness and Refinement of Statements program specifications, games, and, of course, contracts and agreements. The predicate transformer semantics was originally designed for reasoning about the correctness of program statements. We will show below how to use predicate transformers to reason about correctness-preserving program refinements.
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Texts in Computer Sciencehttp://image.papertrans.cn/r/image/824677.jpg
作者: archaeology    時間: 2025-3-25 17:25
https://doi.org/10.1007/978-1-4612-1674-2calculus; computer science; iteration; logic; semantics
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作者: harpsichord    時間: 2025-3-26 03:19

作者: 拖債    時間: 2025-3-26 06:10

作者: escalate    時間: 2025-3-26 10:51

作者: 共和國    時間: 2025-3-26 15:51
Truth Valuesuth values form a complete Boolean lattice. Here we describe the general inference rules that are available for reasoning about Boolean lattices. The basic inference rules for truth values are then special cases of these general rules. Furthermore, inference rules for quantification follow from the fact the truth values form a complete lattice.
作者: Nebulizer    時間: 2025-3-26 17:41

作者: 慢跑鞋    時間: 2025-3-26 22:00
Relationscombine a lattice and a category structure. Relations also provide us with a more expressive way of describing state changes, where the effect can be nondeterministic in some states and undefined in other states.
作者: 污點    時間: 2025-3-27 02:18
The Refinement Calculus Hierarchy the domain itself or to another domain. The basic question that we investigate in this chapter is to what extent the lattice and category structure is preserved by these constructors, i.e., to what extent the constructors are monotonic and homomorphic.
作者: 完成    時間: 2025-3-27 05:41
Subclasses of Statementssider the four basic homomorphism properties — bottom, top, meet, and join homomorphism — to see to what extent the constructs in our statement language preserve these properties. These homomorphism properties are closely linked to distributivity properties of statements.
作者: 冷峻    時間: 2025-3-27 13:32

作者: 歌劇等    時間: 2025-3-27 16:16

作者: 你正派    時間: 2025-3-27 19:31

作者: 大方不好    時間: 2025-3-28 00:30
Posets, Lattices, and Categoriestices, and categories. We identify the basic properties of posets and lattices, and use them for a classification of lattices. We also show how to construct new lattices out of old ones as Cartesian products and function spaces. We study structure-preserving mappings (homomorphisms) on lattices. Fin
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作者: 同步左右    時間: 2025-3-28 06:32

作者: Cloudburst    時間: 2025-3-28 13:55

作者: 減去    時間: 2025-3-28 16:46
Truth Values. In this chapter we present the constants and inference rules that are needed for reasoning about logical formulas. We have shown earlier that the truth values form a complete Boolean lattice. Here we describe the general inference rules that are available for reasoning about Boolean lattices. The
作者: 護身符    時間: 2025-3-28 19:01

作者: Bronchial-Tubes    時間: 2025-3-28 23:01
Boolean Expressions and Conditionalsst, they are used to describe control structures with branching, like conditional statements and loops. Second, they are used to express correctness conditions for programs. In both cases, the predicates are expressed in terms of program variables, so they are really Boolean expressions. In this cha
作者: vitreous-humor    時間: 2025-3-29 03:20
Relationsally the same set of inference rules as predicates. We can define new operations on relations, giving additional properties. In particular, relations combine a lattice and a category structure. Relations also provide us with a more expressive way of describing state changes, where the effect can be
作者: 騎師    時間: 2025-3-29 08:21

作者: fiction    時間: 2025-3-29 13:48
Predicate Transformersle to expect contracts to have. We did not, however, say what kind of mathematical entities contracts are. The interpretation of contracts depends on what features are considered essential and what are inessential. We now make the assumption that the essential feature of a contract is what can be ac
作者: Curmudgeon    時間: 2025-3-29 18:11

作者: Venules    時間: 2025-3-29 20:47

作者: 輕而薄    時間: 2025-3-30 01:47
Statements as Gamesre mathematical entities, functions from predicates (sets) to predicates, and as such have no direct computational interpretation. The way in which statements are assumed to be executed as programs has only been explained informally. Because both angelic and demonic nondeterminism is involved in sta
作者: Intersect    時間: 2025-3-30 06:24
Choice Semanticset of predicates over the final state space. This means that we have altogether three different semantics for statements: an (operational) game semantics, a (backward) predicate transformer semantics, and a (forward) choice semantics. We show that these semantics are consistent with each other (we h
作者: 別名    時間: 2025-3-30 09:25

作者: catagen    時間: 2025-3-30 15:43

作者: GREEN    時間: 2025-3-30 18:06
Statements as Gamesnterpretation of contract statements as . We show that the predicate transformer semantics is an abstraction of the game semantics, in the sense that we can compute the former from the latter. Both correctness of statements and refinement can be explained operationally in terms of winning strategies in games.
作者: TAP    時間: 2025-3-30 22:55
Functionsyle and the derivational proof style are just two different ways of writing proofs; the underlying notion of a proof is the same in both styles. Finally, we postulate a new type constructor that denotes a Cartesian product and investigate its basic properties.
作者: 吹牛需要藝術(shù)    時間: 2025-3-31 01:32

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作者: 抱狗不敢前    時間: 2025-3-31 09:54

作者: 多節(jié)    時間: 2025-3-31 16:32

作者: 莎草    時間: 2025-3-31 19:31

作者: Yourself    時間: 2025-3-31 23:46
1868-0941 wledge is assumed from mathematics and CS, the book is a self-contained introduction suitable for graduate students and researchers coming to this subject for the first time. There are numerous exercises provided of varying degrees of challenge.978-0-387-98417-9978-1-4612-1674-2Series ISSN 1868-0941 Series E-ISSN 1868-095X
作者: Carcinogenesis    時間: 2025-4-1 04:03
ysicochemical properties of the compound to describe environmental partitioning. The octanol-air partition coefficient is promoted as a unifying property for describing volatilization of pesticides from soil and sorption to aerosols. Present-day sources of organochlorine (OC) pesticides to the atmos
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作者: Gum-Disease    時間: 2025-4-1 10:12

作者: Goblet-Cells    時間: 2025-4-1 16:03
Ralph-Johan Back,Joakim von Wrightidered in currently used regulatory risk assessment schemes. Concern with respect to atmospheric transport and subsequent deposition of pesticides in non-target areas is however growing. In this article the results of discussions on the possibilities of implementing atmospheric fate in regulatory ri
作者: guzzle    時間: 2025-4-1 19:26
Ralph-Johan Back,Joakim von Wrightldren, a topic with a fast-rising profile in today’s world of female breadwinners and single-parent households. While the significant body of theoretical understanding and empirical data accumulated in recent decades has done much to characterize the fluidity of evolving notions of fatherhood, the i
作者: 取回    時間: 2025-4-2 00:19

作者: 消極詞匯    時間: 2025-4-2 03:10





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