Definition 2. An argument x AF is a triple x = G, m, σ where m is a correspon- dence e, ej, n, R ; G is the grounds justifying a prima facie belief that the correspon- dence does, or does not hold; σ is one of +, depending on whether the argument is that m does or does not hold. ¬ An argument x is attacked by the assertion of its negation x, namely the counter- argument, defined as follows: ∈ ∈
Definition 2. Let E be a tweakable blockcipher that internally uses a dedicated blockcipher E. We say that it is optimally standard/ideal-model secure if for any distinguisher making q queries to its construction oracle and r evaluations of the primitive (where in the standard model, r = τ /τE): Advs/i-s˜prp(Ð) ≤ const · max{q, r} , ˜ E for some small constant const. min{|K|, |ł|} ˜|K|
Definition 2. Trust in wireless mesh networks is determined by a trust tuple (α, θ). α N + represents the authentication and θ R+ the grade of autho- rization. The first part is the recognition or authentication part which is necessary to dis- tinguish nodes from each other. Recognition means that every node has a distinct cryptographic attribute (e.g. a self signed certificate) that proves his binding to a self chosen identity. Authentication extends this by creating a cryptographic binding to an approved identity. Actually, authentication and recognition are binary decisions, because there are always only two possibilites: you have iden- tified a user or you have not. After all, the authentication value α is determined by the addition of all binary authentication results. However, the value of α (if greater than one) is not the determining part of the trust level, it just represents the number of nodes who authenticated a certain node. The second part of trust is a valuing component, namely how trusted a user is. We call this part authorization value, since it will be used to authorize users to become part of the network. Later on, the authorization value can also be used for choosing the best (most trustful) route for a packet through the network, if our scheme is combined with a source routing algorithm. Authorization is expressed by the real value θ.
Definition 2. Section 1.1. Certain Defined Terms 2 Section 1.2. Other Terms. 51 Section 1.3. Computation of Time Periods. 51 Section 1.4. Interpretation. 51 ARTICLE II. PURCHASE OF THE VARIABLE FUNDING CERTIFICATES 52 Section 2.1. The Variable Funding Certificates. 52 Section 2.2. Procedures for Advances. 53 Section 2.3. Reduction of the Facility Amount; Mandatory and Optional Repayments. 54 Section 2.4. Determination of Interest. 55 Section 2.5. [Reserved]. 55 Section 2.6. Notations on Variable Funding Certificates. 55 Section 2.7. Settlement Procedures During the Revolving Period. 56 Section 2.8. Settlement Procedures During the Amortization Period. 58 Section 2.9. Collections and Allocations. 59 Section 2.10. Payments, Computations, Etc. 60 Section 2.11. Optional Repurchase. 61 Section 2.12. Fees. 61 Section 2.13. Increased Costs; Capital Adequacy; Illegality. 61 Section 2.14. Taxes. 63 Section 2.15. Assignment of the Originator Sale Agreement and the Depositor Sale Agreement. 64 Section 2.16. Substitution of Loans. 65 Section 2.17. Optional Sales. 66 Section 2.18. Payment by Legal Final Maturity Date. 68 ARTICLE III. CONDITIONS TO ADVANCES 68 Section 3.1. Conditions to Closing and Initial Advance. 68 Section 3.2. Conditions Precedent to All Advances. 69 ARTICLE IV. REPRESENTATIONS AND WARRANTIES 71 Section 4.1. Representations and Warranties of the Seller. 71
Definition 2. Full-Time Employees 2 Part-Time Employees 2 Regular Bus Driver / Bus Attendant 2 Substitute Bus Driver / Laborer 3 Probationary Period 4 Article 4 Rules and Regulations 4 Rules and Regulations 4 Management Rights 4 Discipline and Discharge Procedures 4 Subcontracting 6 Mandatory Meetings 6
Definition 2. (Agreement Clause). Let G be a predicate, n an integer denoting a time unit, and a = p, an, d be an action. The syntax of agreement clauses is defined as follows:
Definition 2. 0.1. By B1 we mean the closed unit ball around the origin of R3 : B1 := {x ∈ R3 : |x| ≤ 1}. Then define Ω as B1 = Ω := Ω(0), with ∂Ω := ∂Ω(0) being given by S2, the unit sphere.
Definition 2. 2.29. For i = 1, . . . , 6, define Gi : (0, ∞) × (0, ∞) → R by G1(β, τ ) = τe—2τ if 2σ1(β) > 2 + σ2(β) τ 2e—2τ if 2σ1(β) = 2 + σ2(β) τe(σ2—2σ1)τ if 2σ1(β) < 2 + σ2(β) τ 2e—2τ if σ1(β) = 2 + σ2(β)
Definition 2. 3. (DDH assumption) Let g be a generator of a finite cyclic group G and x, y, z 0, G 1 be chosen at random. The group G satisfies the Decisional Xxxxxx-Xxxxxxx (DDH) assumption if there is no probabilistic polynomial algorithm A, such that |Pr[A(g, G, gx, gy, gz) = 1] − Pr[A(g, G, gx, gy, gxy) = 1]| is not computationally indistinguishable. Protocol Xxxxxx-Xxxxxxx key exchange COMPUTATIONAL EFFICIENCY: Each party computes 2 modular ex- ponentiations. COMMUNICATION EFFICIENCY: Each party sends log p bits in one round. SECURITY: The protocol is provably secure against passive adversaries assuming discrete logarithm problem is hard. RESULT: A and B both possess the same shared secret key K.
Definition 2. 4. (GDH assumption) Let g be a generator of a finite cyclic group G and x1, ..., xl, z 0, G 1 be chosen at random with l N ≥
