Lower Bounds Sample Clauses

The Lower Bounds clause sets a minimum threshold or limit for a particular obligation, value, or performance metric within an agreement. For example, it may specify the least amount of goods to be delivered, the minimum level of service to be maintained, or the lowest price that can be charged. By establishing these minimums, the clause ensures that parties cannot underperform or provide less than the agreed baseline, thereby protecting expectations and reducing the risk of inadequate fulfillment.
Lower Bounds. In order to formulate the strongest impossibility results related to Approximate Agreement in the Mobile Byzantine faults model we examine a weaker version of this problem referred in [11] as Simple Approximate Agreement. Each correct node has a real value from [0, 1] as input and chooses a real value. Correct behav- iors must satisfy the following properties: Agreement: The maximum difference between values chosen by correct nodes must be strictly smaller than the maximum difference between the inputs, or be equal to the latter difference if it is zero. Validity: Each correct node chooses a value in the range of the inputs of the nodes. We prove lower bounds for each Mobile Byzantine faults models: Garay’s (M1), Bonnet’s(M2), Sasaki’s (M3) and Burhman’s (M4). The bounds for the models (M3) and (M4) result from the classical bounds proved in [11] and the mapping defined in Section 3. In the case of models (M1) and (M2), since the behavior of cured processes cannot be totally controlled by the Byzantine adversary, specific proofs are needed.
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Lower Bounds. In this section we give lower bounds on the number of random variables used in a one-message key agreement protocol. The lower bounds match the usage in our protocols in the dominating terms. We first give a theorem (Theorem 3.17) which states that for any distri- bution PXYZ no protocol for one-message key agreement has higher rate than S (X; Y Z). This was already proven in [AC93] for the case where n goes to infinity; we use the same method to give a quantitative statement which holds for any (finite) n. Further, we show (Theorem 3.18) that there exist distributions PXYZ for which it is impossible to obtain more than n(S→(X; Y|Z) — √1 — β √κ) key bits with secrecy 1 2—κn and equal soundness from n random ▇▇▇▇- ▇▇▇▇▇. In other words, for some distributions the dependence of the num- ber of random variables in terms of κ is optimal up to constant factors in our protocol which uses a random linear code (cf. Theorem 3.13).
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Related to Lower Bounds

  • Agreement to Be Bound Guarantee Each of the Guaranteeing Subsidiaries hereby becomes a party to the Indenture as a Subsidiary Guarantor and as such will have all of the rights and be subject to all of the Obligations and agreements of a Subsidiary Guarantor under the Indenture. Each of the Guaranteeing Subsidiaries hereby agrees to be bound by all of the provisions of the Indenture applicable to a Subsidiary Guarantor and to perform all of the Obligations and agreements of a Subsidiary Guarantor under the Indenture. In furtherance of the foregoing, each of the Guaranteeing Subsidiaries shall be deemed a Subsidiary Guarantor for purposes of Article 10 of the Indenture, including, without limitation, Section 10.02 thereof.

  • ISP-Bound Traffic 7.3.6.1 The Parties agree that ISP-bound traffic is Interstate traffic and governed by the FCC’s Order on Remand and Report and Order (Intercarrier Compensation for ISP-bound Traffic) CC Docket 01-131 (FCC ISP Order), effective June 14, 2001. However, the Parties agree to exchange ISP-bound traffic utilizing the ▇▇▇▇ and keep compensation mechanism. ▇▇▇▇ and keep will apply to both end office call termination and tandem switched transport of ISP-bound traffic.

  • Optionee Bound by Plan The Optionee hereby acknowledges receipt of a copy of the Plan and agrees to be bound by all the terms and provisions thereof.

  • Agreement to be Bound Each of the Trust, the Indenture Trustee, the Registrar, the Transfer Agent, the Paying Agent and the Calculation Agent hereby agrees to be bound by all of the terms, provisions and agreements set forth in the Indenture, with respect to all matters contemplated in the Indenture, including, without limitation, those relating to the issuance of the below-referenced Notes.

  • Parties Bound The terms, provisions, and agreements that are contained in this Agreement shall apply to, be binding upon, and inure to the benefit of the parties and their respective heirs, executors, administrators, legal representatives, and permitted successors and assigns, subject to the limitation on assignment expressly set forth herein.