Using Predicates and Quantifiers in System Specifications
Explore the application of predicates, quantifiers, and logical connectives in expressing various system specifications. Each scenario is tackled using unique predicates, showcasing the versatility of these concepts. References to Discrete Mathematics resources are provided for further study.
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Discrete Math: Predicates and Quantifiers Exercise 21
Exercise Express each of these system specifications using predicates, quantifiers, and logical connectives. a) At least one mail message, among the nonempty set of messages, can be saved if there is a disk with more than 10 kilobytes of free space. b) Whenever there is an active alert, all queued messages are transmitted. c) The diagnostic monitor tracks the status of all systems except the main console. d) Each participant on the conference call whom the host of the call did not put on a special list was billed.
Solution In each case we need to make up predicates. The answers are certainly not unique and depend on the choice of predicate, among other things.
References Discrete Mathematics and Its Applications, McGraw-Hill; 7th edition (June 26, 2006). Kenneth Rosen Discrete Mathematics An Open Introduction, 2nd edition. Oscar Le in A Short Course in Discrete Mathematics, 01 Dec 2004, Edward Bender & S. Gill Williamson
