This problem examines whether the following specifications are satisfiable: i If the file system is not locked, then new messages will be queued. ii If the file system is not locked, then new messages will be sent to the messages buffer. iii If the file system is not locked, then the system is functioning normally, and conversely, if the system is functioning normally, then the file system is not locked. iv If new messages are not queued, then they will be sent to the messages buffer. v New messages will not be sent to the message buffer. 1 Begin by translating the five specifications into Boolean formulas using the four Boolean variables: • L:= file system locked; • Q := new messages are queued; • B:= new messages are sent to the message buffer; • N:= system functioning normally: 2 Demonstrate that this set of specifications is satisfiable by describing a single truth assignment for the variables L, Q,B,N and verifying that under this assignment, all the specifications are true. 3 Argue that the assignment determined in in the previous part is the only one that does the job.
This problem examines whether the following specifications are satisfiable: i If the file system is not locked, then new messages will be queued. ii If the file system is not locked, then new messages will be sent to the messages buffer. iii If the file system is not locked, then the system is functioning normally, and conversely, if the system is functioning normally, then the file system is not locked. iv If new messages are not queued, then they will be sent to the messages buffer. v New messages will not be sent to the message buffer. 1 Begin by translating the five specifications into Boolean formulas using the four Boolean variables: • L:= file system locked; • Q := new messages are queued; • B:= new messages are sent to the message buffer; • N:= system functioning normally: 2 Demonstrate that this set of specifications is satisfiable by describing a single truth assignment for the variables L, Q,B,N and verifying that under this assignment, all the specifications are true. 3 Argue that the assignment determined in in the previous part is the only one that does the job.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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This is a discrete math problem. Please explain each step in detail, no cursive writing.
Transcribed Image Text:This problem examines whether the following specifications are satisfiable:
i If the file system is not locked, then new messages will be queued.
ii If the file system is not locked, then new messages will be sent to the messages buffer.
iii If the file system is not locked, then the system is functioning normally, and conversely, if the
system is functioning normally, then the file system is not locked.
iv If new messages are not queued, then they will be sent to the messages buffer.
v New messages will not be sent to the message buffer.
1 Begin by translating the five specifications into Boolean formulas using the four Boolean
variables:
• L:= file system locked;
• Q := new messages are queued;
• B:= new messages are sent to the message buffer;
• N:= system functioning normally:
2 Demonstrate that this set of specifications is satisfiable by describing a single truth assignment
for the variables L, Q,B,N and verifying that under this assignment, all the specifications are
true.
3 Argue that the assignment determined in in the previous part is the only one that does the job.
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