Dirk Beyer Marieke Huisman Popular Books

Dirk Beyer Marieke Huisman Biography & Facts

In computer science, formal methods are mathematically rigorous techniques for the specification, development, analysis, and verification of software and hardware systems. The use of formal methods for software and hardware design is motivated by the expectation that, as in other engineering disciplines, performing appropriate mathematical analysis can contribute to the reliability and robustness of a design.Formal methods employ a variety of theoretical computer science fundamentals, including logic calculi, formal languages, automata theory, control theory, program semantics, type systems, and type theory. Background Semi-formal methods are formalisms and languages that are not considered fully "formal". It defers the task of completing the semantics to a later stage, which is then done either by human interpretation or by interpretation through software like code or test case generators. Taxonomy Formal methods can be used at a number of levels: Level 0: Formal specification may be undertaken and then a program developed from this informally. This has been dubbed formal methods lite. This may be the most cost-effective option in many cases. Level 1: Formal development and formal verification may be used to produce a program in a more formal manner. For example, proofs of properties or refinement from the specification to a program may be undertaken. This may be most appropriate in high-integrity systems involving safety or security. Level 2: Theorem provers may be used to undertake fully formal machine-checked proofs. Despite improving tools and declining costs, this can be very expensive and is only practically worthwhile if the cost of mistakes is very high (e.g., in critical parts of operating system or microprocessor design).Further information on this is expanded below. As with programming language semantics, styles of formal methods may be roughly classified as follows: Denotational semantics, in which the meaning of a system is expressed in the mathematical theory of domains. Proponents of such methods rely on the well-understood nature of domains to give meaning to the system; critics point out that not every system may be intuitively or naturally viewed as a function. Operational semantics, in which the meaning of a system is expressed as a sequence of actions of a (presumably) simpler computational model. Proponents of such methods point to the simplicity of their models as a means to expressive clarity; critics counter that the problem of semantics has just been delayed (who defines the semantics of the simpler model?). Axiomatic semantics, in which the meaning of the system is expressed in terms of preconditions and postconditions that are true before and after the system performs a task, respectively. Proponents note the connection to classical logic; critics note that such semantics never really describe what a system does (merely what is true before and afterwards).Lightweight formal methods Some practitioners believe that the formal methods community has overemphasized full formalization of a specification or design. They contend that the expressiveness of the languages involved, as well as the complexity of the systems being modelled, make full formalization a difficult and expensive task. As an alternative, various lightweight formal methods, which emphasize partial specification and focused application, have been proposed. Examples of this lightweight approach to formal methods include the Alloy object modelling notation, Denney's synthesis of some aspects of the Z notation with use case driven development, and the CSK VDM Tools. Uses Formal methods can be applied at various points through the development process. Specification Formal methods may be used to give a description of the system to be developed, at whatever level(s) of detail desired. This formal description can be used to guide further development activities (see following sections); additionally, it can be used to verify that the requirements for the system being developed have been completely and accurately specified, or formalising system requirements by expressing them in a formal language with a precise and unambiguously defined syntax and semantics. The need for formal specification systems has been noted for years. In the ALGOL 58 report, John Backus presented a formal notation for describing programming language syntax, later named Backus normal form then renamed Backus–Naur form (BNF). Backus also wrote that a formal description of the meaning of syntactically valid ALGOL programs was not completed in time for inclusion in the report. "Therefore the formal treatment of the semantics of legal programs will be included in a subsequent paper." It never appeared. Development Formal development is the use of formal methods as an integrated part of a tool-supported system development process. Once a formal specification has been produced, the specification may be used as a guide while the concrete system is developed during the design process (i.e., realized typically in software, but also potentially in hardware). For example: If the formal specification is in operational semantics, the observed behavior of the concrete system can be compared with the behavior of the specification (which itself should be executable or simulatable). Additionally, the operational commands of the specification may be amenable to direct translation into executable code. If the formal specification is in axiomatic semantics, the preconditions and postconditions of the specification may become assertions in the executable code.Verification Formal verification is the use of software tools to prove properties of a formal specification, or to prove that a formal model of a system implementation satisfies its specification. Once a formal specification has been developed, the specification may be used as the basis for proving properties of the specification, and by inference, properties of the system implementation. Sign-off verification Sign-off verification is the use of a formal verification tool that is highly trusted. Such a tool can replace traditional verification methods (the tool may even be certified). Human-directed proof Sometimes, the motivation for proving the correctness of a system is not the obvious need for reassurance of the correctness of the system, but a desire to understand the system better. Consequently, some proofs of correctness are produced in the style of mathematical proof: handwritten (or typeset) using natural language, using a level of informality common to such proofs. A "good" proof is one that is readable and understandable by other human readers. Critics of such approaches point out that the ambiguity inherent in natural language allows errors to be undetected in such proofs; often, subtle errors can be present in the low-level details typically overlooked by such proofs. Additionally, the work involved in producing such a good proof requires a high level of ma.... Discover the Dirk Beyer Marieke Huisman popular books. Find the top 100 most popular Dirk Beyer Marieke Huisman books.

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  • A Christmas Carol synopsis, comments

    A Christmas Carol

    Charles Dickens

    An Apple Books Classic edition. It’s Christmas Eve in Victorian England. While some families don’t know where their next meal will come from, Ebenezer Scrooge sits in his large hom...

  • Nothing to Hide synopsis, comments

    Nothing to Hide

    Scarlett Finn

    Prize of a lifetime: travel the world with a celebrity billionaire. Come to LA with us, Roxie… It will be so much fun! We have tickets for a latenight talk show! What could possibl...

  • Become A Better Version of Yourself synopsis, comments

    Become A Better Version of Yourself

    Ben Leighton

    This ebook contains golden nuggets on how to motivate, inspire and improve your current situation. It encompasses the holistic view of self improvement from mental& emotion...

  • The Holy Bible - King James Version synopsis, comments

    The Holy Bible - King James Version

    King James

    Holy Bible King James Version Few Sample Paragraphs from The Holy Bible eBook, Genesis (OT) 1 Gen. 1 IN the beginning God created the heaven and the earth. 2 And the earth was with...

  • Finding Cinderella synopsis, comments

    Finding Cinderella

    Colleen Hoover

    #1 New York Times bestselling author of It Starts with Us and It Ends With Us writes a free novella about the search for happily ever after. A chance encounter in the dark leads ei...

  • The Wonderful Wizard of Oz synopsis, comments

    The Wonderful Wizard of Oz

    L. Frank Baum

    An Apple Books Classic edition. You’ve seen the iconic 1939 movie, but do you know about the talking field mice, the Winkies, and the Witch of the North that appear in the original...

  • The Scarlet Letter synopsis, comments

    The Scarlet Letter

    Nathaniel Hawthorne

    An Apple Books Classic edition. Hester Prynne lives in infamy. After committing adultery and bearing a child with a man whose name she refuses to divulge, the heroine of Nathaniel ...

  • Get Lucky synopsis, comments

    Get Lucky

    Lila Monroe

    Fall for the hot and hilarious romcom spin on 'The Hangover', perfect for fans of Tessa Bailey, Ali Hazelwood, and Emily Henry! What happens when you wake up in a hotel s...

  • Man In The Water synopsis, comments

    Man In The Water

    Jon Hill

    An attempted murder. A missing spouse. And an international conspiracy that could change the world. Jack Green has always been skeptical of socalled facts. Though he's forced ...

  • Never Enough synopsis, comments

    Never Enough

    Lexy Timms

    Be good enough never is... Anthony Accardi is a man on a mission: make his father's watch company a success while bringing in millions of dollars. To do that, he needs an assi...

  • You Are Kind synopsis, comments

    You Are Kind

    Michael Gordon

    A little kindness goes a long way. How can you help encourage your kids to be kind from a young age? Teach kindness to preschoolers Acts of kindness can be fun, easy, and make a ...

  • Little Women synopsis, comments

    Little Women

    Louisa May Alcott

    An Apple Books Classic edition. Meet the Marches! Louisa May Alcott’s classic introduces us to four unforgettable sisters: beautiful Meg, tomboyish Jo, delicate Beth, and Amy, the ...

  • Good Guy synopsis, comments

    Good Guy

    Kate Meader

    He's a Special Forces veteran making his pro hockey debut. She's a dogged sports reporter determined to get a scoop. She's also his best friend's widow . . . Fa...

  • Silenced Girls synopsis, comments

    Silenced Girls

    Roger Stelljes

    “ Wow wow wow!  Grips you in a choke hold and  does not let go … Oozes suspense and  bonechilling twists and turns .  Astonishing … One of those...

  • Peace on Earth synopsis, comments

    Peace on Earth

    Maia Ross

    Crime never takes a holiday. Why should Irma? Irma Abercrombie is an energetic retiree with a shadowy past, a mean right hook, and a profound love of Christmas. Surrounded by seaso...

  • The Stoic Mind synopsis, comments

    The Stoic Mind

    Addy Osmani & GoLimitlesss

    Discover the timeless wisdom of Stoicism in a modern context with "The Stoic Mind," an enlightening visual guide by Addy Osmani and GoLimitlesss. This rich exploration co...

  • His Girl Next Door synopsis, comments

    His Girl Next Door

    Khardine Gray

    From USA Today Bestselling author Khardine Gray comes a sizzling hot single dad romance you won't want to miss. No strings attached fun with the ubergorgeous single d...

  • The Four Loves synopsis, comments

    The Four Loves

    C. S. Lewis

    The Four Loves summarizes four kinds of human loveaffection, friendship, erotic love, and the love of God. Masterful without being magisterial, this book's wise, gentle, candi...

  • The Three Little Pigs synopsis, comments

    The Three Little Pigs

    Mark Lesky

    Classic fairy tales, legends and folk stories in short version without violence retold with lovely illustrations in simple language. Perfect for reading aloud to small chi...

  • Saltwater Cove synopsis, comments

    Saltwater Cove

    Amelia Addler

    Second chances...and the secrets that sabotage them. At 48 years old, Margie Clifton never expected to be starting her life all over again. But when her brother gifts her a propert...

  • Caught Up with the Captain synopsis, comments

    Caught Up with the Captain

    Kait Nolan

    Can a retired naval commander and the love he left behind overcome a 34yearold secret to find their way to a second chance? Captain Mitchell Greyson is a man who believes in duty. ...

  • Dracula synopsis, comments

    Dracula

    Bram Stoker

    An Apple Books Classic edition. Few characters have seized readers’ imaginations quite like Count Dracula of Transylvania, the hero of Bram Stoker’s classic. The 1897 novel put vam...

  • Meditations synopsis, comments

    Meditations

    Emperor of Rome Marcus Aurelius

    Meditations is a series of personal writings by Marcus Aurelius, Roman Emperor 161–180 CE, setting forth his ideas on Stoic philosophy.

  • Hot Off the Press synopsis, comments

    Hot Off the Press

    Lexy Timms

    "This is what really happened… reported by a free press, for a free people…" Wes Shaw leads a secret double life. As the secret owner of a billion dollar newspap...

  • Just Me synopsis, comments

    Just Me

    Lexy Timms

    We all need somewhere where we feel safe… After leaving her abusive husband, Katherine Marshall is out on her own for the first time. She's hopped from city to city to avoid t...

  • Enemies With Benefits synopsis, comments

    Enemies With Benefits

    Roxie Noir

    I don’t love him. I don’t even like him. I just want him. Eli Loveless was my nemesis from the first day of kindergarten until we graduated high school. Everything I did, he had to...

  • Law of Attraction synopsis, comments

    Law of Attraction

    Jordan Hollis

    How to Finally Overcome the Hurdles of Manifesting Proven, effective and enjoyable ways to help you manifest faster… Right now, think of something that makes you successful. If you...

  • The Adventures of Sherlock Holmes synopsis, comments

    The Adventures of Sherlock Holmes

    Arthur Conan Doyle

    An Apple Books Classic You get not one, not two, but 25 gripping mysteries in Arthur Conan Doyle’s first of five collections of Sherlock Holmes short stories. Follow the brilliant ...

  • The Odyssey synopsis, comments

    The Odyssey

    Homer

    An Apple Books Classic edition. Homer’s eighthcentury epic poem is a companion to The Iliad . It tells the story of Odysseus, who journeys by ship for 10 years after the Trojan War...

  • Holy Bible synopsis, comments

    Holy Bible

    The Church of Jesus Christ of Latter-day Saints

    The 2013 edition of the Holy Bible contains all of the study aids contained in the 1979 edition and includes revisions to the study aids, several new photos, updated maps, and adju...

  • Whiskey Girl synopsis, comments

    Whiskey Girl

    Melissa Belle

    They'll do anything for each other…except commit. Logan Wild isn’t just the hottest broncriding cowboy in Texas. He’s also my best friendwith benefits. And that’s all we’ll ev...

  • Rogue Alpha synopsis, comments

    Rogue Alpha

    Kimber White

    One touch made her crave him. But the pull of fate could be the path to ruin. College student Laura Prince lands a plum internship deep in the Michigan wilderness. When she discove...

  • The Cupcake Cottage synopsis, comments

    The Cupcake Cottage

    Jean Oram

    NHL player Maverick Blades could fall in love with anyone... But he had to fall for a woman who falls under the Bro Code as untouchablehis best friend’s beautiful ex, DaisyMae Ray....

  • Eternal synopsis, comments

    Eternal

    W.J. May

    She will fight for what is hers. When the king is murdered, Katerina, his only daughter, must flee for her life. She finds herself on a strange and dangerous path. Alone for the fi...

  • The Target synopsis, comments

    The Target

    Lexy Timms

    When you seek revenge be sure to dig two graves… Revenge was the only thing I had going for me. It kept me awake at night and drove me into desperate situations in dive bars across...

  • Think and Grow Rich synopsis, comments

    Think and Grow Rich

    Greg Habstritt & Napoleon Hill

    Think and Grow Rich is one of the most popular success book of alltime, having sold more than 60 million copies since it was first published more than 70...

  • School of Potential synopsis, comments

    School of Potential

    W.J. May

    USA Today Bestselling author, W.J. May brings you a continuation of the international bestselling series, The Chronicles of Kerrigan! Come back and enjoy the famous characters, or ...

  • A Green Kind of Witch synopsis, comments

    A Green Kind of Witch

    Sierra Cross

    Cinderella crossed with Mean Girls.   That's what Hazel's daily existence feels like. Born to a family of elegant yet shallow Beige Witches, seventeen y...

  • Masters of Restraint synopsis, comments

    Masters of Restraint

    Ines Johnson

    My new boss is good at giving orders. But his latest demand is NSFW. Especially when his two business partners want in on our deal. My new boss My boss’s boss Their investor &#...

  • Always Yours synopsis, comments

    Always Yours

    Claire Raye

    Some things are just meant to be... Ellen Somerville and Will McIntyre met by accident and under unusual circumstances. Getting sprayed by a skunk in a parking lot wouldn’t normall...

  • Pride and Prejudice synopsis, comments

    Pride and Prejudice

    Jane Austen

    An Apple Books Classic edition. Jane Austen’s beloved classic opens with this witty and very memorable line: “It is a truth universally acknowledged, that a single man in possessio...

  • Dream Psychology synopsis, comments

    Dream Psychology

    Sigmund Freud

    An Apple Books Classic edition. Written by the founding father of psychoanalysis, Sigmund Freud’s 1899 book is the definitive text on learning to interpret dreams. Freud’s groundbr...

  • His Own Heaven synopsis, comments

    His Own Heaven

    Jennie Kew

    Winner of the 2021 Passionate Plume Award for BDSM Romance Finalist in the 2021 Stiletto Contest for Contemporary Romance He taught her to trust, she taught him to love. ​ Lucy Bar...

  • The Count of Monte Cristo synopsis, comments

    The Count of Monte Cristo

    Alexandre Dumas

    An Apple Books Classic edition. Alexandre Dumas’ classic paints a portrait of Edmond Dantès, a dark and calculating man who is willing to wait years to exact his perfect plan for r...

  • Awaken Me synopsis, comments

    Awaken Me

    Jenna Jacob

    He was more than a ghost haunting my dreams…he was real. By day, I’m Julianna Garrett …a prim, proper accountant. By night, I’m tormented by dreams of an alpha, ambereyed Adonis wh...

  • Inception of Gold synopsis, comments

    Inception of Gold

    Lexy Timms

    Things are not as bad as they seem. They are worse. Being the personal assistant to a narcissistic actress who just happens to own the key to my family's undoing isn't ex...

  • Bewitching a Highlander synopsis, comments

    Bewitching a Highlander

    Roma Cordon

    Defying all for the love of a bewitching lass. Breena MacRae, a healer from Skye with a touch of witchery in her blood, embarks on a dangerous search for her missing father. She ar...

  • Coffee Girl synopsis, comments

    Coffee Girl

    Sophie Sinclair

    Mackenzie "Kiki" Forbes finds herself in a pickle. Either become her snarky sister's nanny, or move halfway across the country to work as assistanttothestylist of a ...

  • Teach Me synopsis, comments

    Teach Me

    Cassandra Dean

    From awardwinning author Cassandra Dean comes a tale where lessons of pleasure between a curious, sunshine widow and a dissolute, grumpy earl leads to passion and allconsuming love...

  • The Seduction Series Boxset synopsis, comments

    The Seduction Series Boxset

    Roxy Sloane

    “Sensual, thrilling and wild!”   Discover the bestselling series in one collection: THE SEDUCTION, THE BARGAIN, and THE INVITATION. Perfect for fans of Ana Huang, Sierra S...