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Application of the invoke facility service to restrict invocation of compound wireless mobile communication services: division 3 - Invocation test path efficiency

  • US 20150126165A1
  • Filed: 11/04/2013
  • Published: 05/07/2015
  • Est. Priority Date: 02/16/2010
  • Status: Active Grant
First Claim
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1. A process, residing in the memory of a Smartphone or cellular phone, that is used to invoke a compound wireless mobile communication service also known as a Smartphone app or its diminutive app, by using a Boolean expression of events, which when a combination of events that either occur or events that do not occur result in a “

  • True”

    evaluation of the Boolean expression, the aforementioned compound wireless mobile communication service will commence its execution, where the Boolean expression is contained within a service termed Invoke facility service;

    such that the builder of an Invoke facility service associated the said Invoke facility service with the aforementioned compound wireless mobile communication service;

    wherein the contained Boolean expression is built with events interconnected by the logical connectives of “

    And”

    , “

    Or”

    , “

    Not”

    , “

    If X, Then Y”

    , “

    And Then”

    ;

    such that the negation operation “

    Not”

    establishes a contradictory event, signifying that an event and its contradictory event are both considered to be events, where if the event did not occur (is “

    False”

    ), then its contradictory event did occur (is “

    True”

    ) and conversely; and

    such that “

    And Then”

    is a conjunctive connective, meaning it has the same logical operation as “

    And”

    ;

    whereas, “

    And Then”

    includes a sequential implication for testing the occurrence of events;

    as illustrated in the partial Boolean expression “

    PrecedingExpression And Then FollowingExpression”

    , for which “

    PrecedingExpression” and



    FollowingExpression”

    are both logic expressions each containing one or more events, wherein the events within “

    PrecedingExpression”

    are tested for occurrences prior to testing occurrences of the events within “

    FollowingExpression”

    ;

    where both logic expressions contain events or their contradictory events that are observable when tested by the wireless mobile terminal;

    such that events observed by or linked to the Smartphone or cellular telephone, and examined for their truth value by means of an algorithm, termed the test path efficiency algorithm, to format a Boolean expression so that it implies an event test path tree with improved efficiency for processing event test paths by reducing the quantity of tested events and correctly determining the event test paths to evaluate a Boolean expression'"'"'s truth value;

    such that the algorithm is performed using switching algebra, permitted by a transformation between Boolean logic to and from switching algebra;

    wherein the operator symbols of Boolean algebra of “

    And Then”

    or “

    And”

    are converted to and from the algebraic notation of “

    *”

    , named “

    product” and

    may have its notation omitted without confusion, and “

    Or”

    is converted to and from the algebraic notation of “

    +”

    , named “

    sum”

    ;

    also including variables transformed between their identifications by words to and from single letters, which may contain subscripts; and

    having the operation of “

    Not”

    transformed to and from an apostrophe following a negated variable;

    wherein the binary values “

    True” and



    False”

    possess a transformation to and from “

    1” and



    0”

    , respectively;

    wherein the test path efficiency algorithm possesses the following steps;

    a) transform the Boolean expression into a switching function;

    b) apply the negation of the switching function to a minimization procedure to obtain a sum of products expression;

    c) apply De Morgan'"'"'s theorem to the sum of products expression and thereby obtain the minimized product of sums form of the switching function, where the second negation operation, achieves the non-negated switching function;

    d) count each of the event variables appearances in the switching function;

    e) order the event variables positions in each sum according their number of appearances in the switching function, such that the number of appearances of the event variables increases to the left in each sum;

    f) order the sums positions in the product of sums function to have the sums containing the fewest event variables to the left;

    g) for those sums having the same number of event variables, use the counts of the event variables appearances in the switching function to establish a total count for the event variables appearing in each of these sums;

    h) order the sums having the same number of event variables in the switching function according the total counts for the event variables appearing in each sum, such that their count totals increase to the left, when the number of events within a sum are equal;

    i) transform the resultant switching function into the Boolean expression of the Invoke facility service, using “

    And Then”

    between the sums in the product of sums expression.

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