Proof Obligations Sample Clauses

Proof Obligations. For a combination of a flow and machine we would like to be able to demonstrate that the flow is consistent or concrete (the latter requires the former). The general strategy is split an overall proof into a collection of simpler conditions. For flow consistency, a suitable way to do this is to analyse each instance of sequential composition individually as suggested by the condition of Theorem 1 (see Definition 6 for oper- ator cons). For an instance of a sequential composition, from Definition 5 we have the following feasibility condition for a composed event. I(v) G(p, v) vj (S(p, v, vj); ( q H(q, v) R(q, v, vj))) v1 (S(p, v, v1) q H(q, v1) R(q, v1, vj))) The condition is far too complex in the current form. A more compact one could be found. Let us first assume that the composed events are feasible on their own. This gives the following two axioms. axm1 : I(v) G(p, v) vj S(p, v, vj) axm2 : I(v) H(q, v) vj R(q, v, vj) Applying axiom axm1, the feasibility condition for a composed event is simplified to the following: I(v) ∧ G(p, v) ∧ S(p, v, v1) € ∃ q · H(q, v1) ∧ R(q, v1, vj) With the help of the second axiom we are able to remove R(q, v1, vj) clause from the goal: I(v) ∧ G(p, v) ∧ S(p, v, v1) € ∃ q · H(q, v1) Finally, extending the above with the consideration of model constants and sets, the follow- ing proof obligation is formulated. P(c, s) ∧ I(c, s, v) ∧ G(c, s, pe, v) ∧ S(c, s, pe, v, vj) € H(c, s, q, v) Here G and S are the guard and before-after predicate (actions) of what is possibly a result of merging several model events. The proof obligation demonstrates that an event characterised by G and S is able to pass control to another (possibly merged) event with guard H for any possible state permitted by G. The axioms we have rely upon are sound since they are a part of model consistency proof obligations that are to be discharge for every Event-B model[3]. With a similar procedure we are able to find a practical form of a proof obligation for demon- strating that a flow is concrete. The following proof obligation requires that for a given instance p; q of a sequential composition the choice branches in q, if there any, are mutually exclusive. . j j(H (c s q v ) H (c s q v )) P(c, s) ∧ I(c, s, v) ∧ G(c, s, p, v) ∧ S(c, s, p, v, vj) € {s,t}∈EN(q)∧sƒ=t ¬ s , , s, ∧ t , , t , Here Hs and Ht are the guards of possibly merged events. The goal in this proof obligation may become lengthy in some extreme case when there is a choice on a large number of e...
Sample 1
Proof Obligations. Compatible Parallel Composition
Sample 1
Proof Obligations. In the second application (start/stop system) we started not with a requirement set, we developed the needed requirements by ourselves. We did not produce a comparable chart to the one for the cruise control system. In the second pilot we were more interested in gathering evidence that the proof obligations, which arise using Event-B, are manageable.
Sample 1

Related to Proof Obligations

  • Payment of Obligations Pay, discharge or otherwise satisfy at or before maturity or before they become delinquent, as the case may be, all its material obligations of whatever nature, except where the amount or validity thereof is currently being contested in good faith by appropriate proceedings and reserves in conformity with GAAP with respect thereto have been provided on the books of the Borrower or its Subsidiaries, as the case may be.

  • Repayment of Obligations Notwithstanding anything to the contrary contained herein, the Borrower shall repay the Advances Outstanding, all accrued and unpaid Yield, any Breakage Fees, Increased Costs, all accrued and unpaid costs and expenses of the Administrative Agent and Lenders and all other Obligations (other than unmatured contingent indemnification obligations) in full on the Facility Maturity Date.

  • Payment and Performance of Obligations Pay and perform all material Obligations under this Agreement and the other Loan Documents, and pay or perform (a) all taxes, assessments and other governmental charges that may be levied or assessed upon it or any of its property, and (b) all other indebtedness, obligations and liabilities in accordance with customary trade practices; except to the extent that IPT or the Borrower is contesting any item described in clauses (a) or (b) of this Section 7.5 in good faith and is maintaining adequate reserves with respect thereto in accordance with GAAP.

  • Reinstatement of Obligations If at any time all or any part of any payment made by Indemnitor or received by Lender from Indemnitor under or with respect to this Agreement is or must be rescinded or returned for any reason whatsoever (including, but not limited to, the insolvency, bankruptcy or reorganization of Indemnitor or Borrower), then the obligations of Indemnitor hereunder shall, to the extent of the payment rescinded or returned, be deemed to have continued in existence, notwithstanding such previous payment made by Indemnitor, or receipt of payment by Lender, and the obligations of Indemnitor hereunder shall continue to be effective or be reinstated, as the case may be, as to such payment, all as though such previous payment by Indemnitor had never been made.

  • Priority of Obligations The Company will ensure that its payment obligations under this Agreement and the Notes will at all times rank at least pari passu, without preference or priority, with all other unsecured and unsubordinated Indebtedness of the Company.

  • Fulfilment of Obligations The Parties shall take any general or specific measures required to fulfil their obligations under this Agreement.

  • Guaranty of Obligations The Guarantor hereby absolutely, irrevocably and unconditionally guarantees to Administrative Agent, for the benefit of the Lenders, jointly and severally with all existing and future guarantors of the Obligations, the payment and performance of the Obligations as and when the same shall be due and payable, whether by lapse of time, by acceleration of maturity or otherwise. The Guarantor hereby absolutely, irrevocably and unconditionally covenants and agrees that it is liable, jointly and severally with all existing and future guarantors of the Obligations, for the Obligations as a primary obligor, and that the Guarantor shall fully perform each and every term and provision hereof. This Guaranty is a guaranty of payment and not of collection only. Administrative Agent shall not be required to exhaust any right or remedy or take any action against Borrower or any other person or entity. The Guarantor agrees that, as between the Guarantor and Administrative Agent and the Lenders, the Obligations may be declared to be due and payable for the purposes of this Guaranty notwithstanding any stay, injunction or other prohibition which may prevent, delay or vitiate any declaration as regards Borrower and that in the event of a declaration or attempted declaration, the Obligations shall immediately become due and payable by the Guarantor for the purposes of this Guaranty. Without limiting the generality of the foregoing, the Guarantor, and by its acceptance of this Guaranty, Administrative Agent, for the benefit of the Lenders, hereby confirms that the parties intend that this Guaranty not constitute a fraudulent transfer or conveyance for purposes of the Bankruptcy Law (as defined below), the Uniform Fraudulent Conveyance Act, the Uniform Fraudulent Transfer Act or any similar federal, state or foreign law to the extent applicable to this Guaranty. In furtherance of that intention, the liabilities of the Guarantor under this Guaranty (the “Liabilities”) shall be limited to the maximum amount that will, after giving effect to such maximum amount and all other contingent and fixed liabilities of the Guarantor that are relevant under such laws, and after giving effect to any collections from, rights to receive contribution from or payments made by or on behalf of any other person with respect to the Liabilities, result in the Liabilities of the Guarantor under this Guaranty not constituting a fraudulent transfer or conveyance. For purposes hereof, “Bankruptcy Law” means Title 11, U.S. Code, or any similar federal, state or foreign law for the relief of debtors. This paragraph with respect to the maximum liability of the Guarantor is intended solely to preserve the rights of the Administrative Agent, for the benefit of the Lenders, to the maximum extent not subject to avoidance under applicable law, and neither the Guarantor nor any other person or entity shall have any right or claim under this paragraph with respect to such maximum liability, except to the extent necessary so that the obligations of the Guarantor hereunder shall not be rendered voidable under applicable law. The Guarantor agrees that the Obligations may at any time and from time to time exceed the maximum liability of the Guarantor without impairing this Guaranty or affecting the rights and remedies of the Administrative Agent on behalf of the Lenders, hereunder, provided that, nothing in this sentence shall be construed to increase the Guarantor's obligations hereunder beyond its maximum liability.

  • Compliance Obligations Partner will conduct operations in compliance with applicable laws, rules and regulations in exercising its rights and obligations under this Agreement. Laws may include but not be limited to the U.S. Foreign Corrupt Practices Act, the U.K. Bribery Act, and local anticorruption legislation that may apply. Partner undertakes that no payments or transfers of value shall be made which have the purpose or effect of public or commercial bribery, or other unlawful or improper means of influencing or obtaining business. Partner agrees that such payment of money, kickback, or anything of value shall be deemed a material breach for purposes of this Agreement. Partner will comply with SAP’s Partner Code of Conduct, or its own code of conduct if comparable standards are established. Partner confirms that it is not listed by any government agency as debarred, suspended, or proposed for suspension or debarment or otherwise determined to be ineligible for government procurement programs.

  • Performance of Obligations The Company shall have performed and complied with all agreements, obligations and conditions contained in this Agreement that are required to be performed or complied with by it on or before the Closing.

  • Status of Obligations In the event that the Borrower or any other Loan Party shall at any time issue or have outstanding any Subordinated Indebtedness, the Borrower shall take or cause such other Loan Party to take all such actions as shall be necessary to cause the Secured Obligations to constitute senior indebtedness (however denominated) in respect of such Subordinated Indebtedness and to enable the Administrative Agent and the Lenders to have and exercise any payment blockage or other remedies available or potentially available to holders of senior indebtedness under the terms of such Subordinated Indebtedness. Without limiting the foregoing, the Secured Obligations are hereby designated as “senior indebtedness” and as “designated senior indebtedness” and words of similar import under and in respect of any indenture or other agreement or instrument under which such Subordinated Indebtedness is outstanding and are further given all such other designations as shall be required under the terms of any such Subordinated Indebtedness in order that the Lenders may have and exercise any payment blockage or other remedies available or potentially available to holders of senior indebtedness under the terms of such Subordinated Indebtedness.