De nition definition

De nition. The algebra Ac consists of the universes O, I, M and F representing object types, instances of object types (objects), message selectors, and method implementa- tions, respectively. In addition, the algebra Ac consists of the following total functions: The function instanceOf : I ! O maps every object to its object type. The function subtypeOf : O ! O maps an object type o to its supertype or, if o has no supertype, to `unde ▇▇▇'. The function mImpl : M (O O) ! F maps a message selector m 2 M and a pair of object types (o1; o2) 2 O O to a method implementation, if a binary cooperation contract between partner types o1 and o2 exists and if this cooperation contract im- plements m; the function maps to `unde ▇▇▇', otherwise. The functions instanceOf , subtypeOf , and mImpl are static, i.e., they are not changed by the transition rules in Tc. For simplicity, we de ne the derived relation subtypeOf + O O: For o 2 O, o0 2 O, (o; o0 ) 2 subtypeOf + , 9o 2 O; : : : o 2 O (n > 1) such that o = o , o0 = o
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Examples of De nition in a sentence

  • XML uses a Document Type De nition (DTD) or an XML Schema to de- scribe data.

  • De nition 8 Our protocol is a set of function I(1k; ; ; r) = (m; ; ) for I.

  • Furthermore, if a majority of 2 N of the correct processors hold the same initial value, then that Before we state our main result, we further relax the requirement of De nition 2.1 as follows.

  • Figure 7 shows the de nition of two external Figure 6: De nition of an internal objective which captures the energy con- sumed during a simulation Figure 7: De nition of external objectives for the line follower robot analysis that evaluate the lap time and cross track error for the line following robot.

  • De nition 3 (Graded Consensus): Let P = fp1; : : : ; png be a set of n players and let D be a nite domain.

  • Let electedi be the earliest real time value at which any correct processor steacretisvetdh.e Seilneccteedatcalenadsitdoanteeccloorcrkecctcip;nrocessormusthavesentoneofthesemessages,we De nition 4 Let endi be the latest real time value at which any correct processor starts the ith virtual clock, cvi .

  • Response Times are calculated as per the De nition as outlined in Appendix E.

  • By the properties of a-cast (De nition 3), every uncorrupted player will complete these 2t + 1 a-casts, and will thus output `sharing succeeded'.

  • Using [Liu12, Theorem 4.1.3], it is enough to show that the family of Galois representations VE˜D is a weakly re ▇▇▇ family in the sense of ▇▇▇▇▇▇▇▇▇ and ▇▇▇▇▇▇▇▇▇ (see De nition 0.3.1 in [Liu12]).

  • De nition 1 -The bilinear Dif e-▇▇▇▇▇▇▇ problem (BHDP) for a bilinear pairing is de ▇▇▇ as follows: Given P, aP, bP, cP ∈ G1, where a, b and c are random numbers from Zq∗, compute e(P, P )abc ∈ G1.

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