Xxxxxxxx/UTP Sample Clauses

Xxxxxxxx/UTP. ‌ In order to verify the correctness of UTP-based semantic models, we need mechanical support for formalising UTP theories, proving algebraic laws, composing them to produce denota- tional models, and providing provably corresponding semantic bases. In a theorem prover like Xxxxxxxx, we can go even further and construct proof tactics and procedures for proving prop- erties of theory objects (i.e. programs or models) in a particular semantic interface, such as a Hoare logic based program verifier. This then means that we have an unbroken chain from proof of program correctness to justification in terms of high-level properties in the underlying denotational semantic models and theories. We have therefore mechanised the UTP semantic framework in Isabelle/UTP [15, 17]. Is- abelle/UTP is a framework that allows the formation of theories, semi-automated proof of their properties, and theory combination to provide semantic models. It is a (relatively) deep se- mantic embedding of the UTP relational calculus into the HOL object logic. Unlike typical deep embeddings, it is also integrated with Xxxxxxxx’s type system and automated proof tactics. Thus it allows both precise reasoning about program semantics, and also facilitates program verification. Xxxxxxxx/UTP facilitates mechanised theory engineering, that is the creation and false ▶ Q = ⊥D (8)‌ ⊥D; (P ▶ Q) = ⊥D (9) (P1 ▶ Q1) H (P2 ▶ Q2) = (P1 ∧ P2 ▶ Q1 ∨ Q2) (10) (p1 ▶ Q1); (p2 ▶ Q2) = (p1 ∧ (Q1 wp p2)) ▶ (Q1; Q2) (11) Figure 2: A UTP proof using the ISAR language exploration of the theories of programming with machine aided reasoning facilities. For exam- ple, all the laws shown in Tables 3 and 5 have been verified with respect to our model in this framework. We give a model to alphabetised predicates as a derived Isabelle type, and then define the standard constructs of predicates and relations as Isabelle functions. We also give a purely se- mantic model to expressions, variable renaming, and substitution. We then define proof tactics that allow us to automate proofs. The majority of these tactics work by soundly translating a UTP predicate into some kind of Xxxxxxxx/HOL construct, such as sets or binary relations, for which a large number of laws have already been proven. For example utp-pred-tac converts a UTP predicate into a HOL predicate, and this allow standard predicate reasoning to be applied. In contrast utp-rel-tac can be applied to relational conjecture, through conversion to Xxxxxxxx’s binary rel...
Sample 1
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Related to Xxxxxxxx/UTP

  • Xxxxxxxxx, X Xxxxxxx Chairman & CEO Barangay Bagumbayan Paracale, Camarines Norte Tel No. 0000-000-0000/000-0000 Email: xxxxxxxxx_xxxx@xxxxx.xxx November 4, 2008 November 3, 2033 Paracale, Camarines Norte Gold, Copper 173.9329

  • Xxxxxxxxxx, X X. 00000.

  • Xxxxxxxxxxx X Xxxx, Esq., shall have furnished to the Underwriters his written opinion, as Corporate Counsel of the Enterprise Parties, addressed to the Underwriters and dated such Delivery Date, in form and substance reasonably satisfactory to the Underwriters, substantially to the effect set forth in Exhibit B hereto.

  • Xxxxxxxx, X X. Xxxxxx, as Trustee .................. 00 Xxxxx Xxxxxx, Xxxxxx, Xxxxxxxxxxxxx 00000

  • Xxxxxxxxx, Esq If to the Trustee: The Bank of New York Mellon Corporate Trust Division 000 Xxxxxxxxx Xxxxxx, 0xx Xxxxx Xxxx Xxx Xxxx, XX 00000 Facsimile No.: (000) 000-0000 Attention: Corporate Trust Division The Issuer, any Guarantor or the Trustee, by notice to the others, may designate additional or different addresses for subsequent notices or communications. 92 All notices and communications to the Trustee or any Agent shall be deemed to have been duly given upon actual receipt thereof by such party. All other notices and communications (other than those sent to Holders) will be deemed to have been duly given: at the time delivered by hand, if personally delivered; five Business Days after being deposited in the mail, postage prepaid, if mailed; when receipt acknowledged, if transmitted by facsimile or other electronic transmission; and the next Business Day after timely delivery to the courier, if sent by overnight air courier guaranteeing next day delivery. Any notice or communication to a Holder of a Global Note will be delivered to the Depositary in accordance with its customary procedures. Any notice or communication to a Holder of a Definitive Note will be mailed by first class mail, certified or registered, return receipt requested, or by overnight air courier guaranteeing next day delivery to its address shown on the register kept by the Registrar. Failure to give a notice or communication to a Holder or any defect in it will not affect its sufficiency with respect to other Holders. Except with respect to the Trustee and the Agents, if a notice or communication is given in the manner provided above within the time prescribed, it is duly given, whether or not the addressee receives it. In respect of this Indenture, the Trustee shall not have any duty or obligation to verify or confirm that the Person sending instructions, directions, reports, notices or other communications or information by electronic transmission is, in fact, a Person authorized to give such instructions, directions, reports, notices or other communications or information on behalf of the party purporting to send such electronic transmission; and the Trustee shall not have any liability for any losses, liabilities, costs or expenses incurred or sustained by any party as a result of such reliance upon or compliance with such instructions, directions, reports, notices or other communications or information. Each other party agrees to assume all risks arising out of the use of electronic methods, including any non-secure method, such as, but without limitation, by facsimile or electronic mail, to submit instructions, directions, reports, notices or other communications or information to the Trustee, including without limitation, the risk of the Trustee acting on unauthorized instructions, notices, reports or other communications or information, and the risk of interception and misuse by third parties. If the Issuer gives a notice or communication to Holders, it will give a copy to the Trustee and each Agent at the same time. The Trustee shall have the right to accept and act upon Instructions given pursuant to this Indenture and any related financing documents and delivered using Electronic Means as provided in Section 7.06.

  • Xxxxxxxxx, Xx Xxxxxxx X. Xxxxxxxxx, Xx., Chief Executive Officer KBSIII 0000 XXXX XXXXXX XXXXX, LLC, a Delaware limited liability company By: KBSIII REIT ACQUISITION IV, LLC, a Delaware limited liability company, its sole member By: KBS REIT PROPERTIES III, LLC, a Delaware limited liability company, its sole member By: KBS LIMITED PARTNERSHIP III, a Delaware limited partnership, its sole member By: KBS REAL ESTATE INVESTMENT TRUST III, INC., a Maryland corporation, its general partner

  • Xxxxxxxx District reserves the right to terminate or otherwise suspend this Contract if District's Board determines that funding is insufficient to remain fully open and calls for a District-wide furlough or similar temporary District reduction in operations. Any temporary closure shall not affect amounts due Contractor under this Contract, subject to a pro-rated adjustment for reduction in services or need for goods during the furlough.

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  • Xxxxxxxx, Xx (Xxxxxxx Xxxxxxxx).

  • Xxxxxxxxxx A grievance may be withdrawn at any time.

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