Advances in Computers. Vol. 28 by Marshall C. Yovits

By Marshall C. Yovits

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Example text

Is an element of free in the after state of this operation. The lowest level of process descriptor allocation is the creation of the initial representation of the process. When a process is created, an identifier is allocated and some basic information about it is recorded in the process table. This second part of the operation is captured by AddPDESC . AddPDESC ∆PTAB p? : PID st? : PSTATE pr ? : PPRIO prio = prio ∪ {p? } state = state ∪ {p? } smsg = smsg ∪ {p? → nullmsg} wakingtime = wakingtime ∪ {p?

The relationship between PTAB and PTAB 1 is expressed by the predicate of the AbsPTAB 1 schema. This schema is referred to below as the “abstraction relation”. 3 The Process Table 41 AbsPTAB 1 PTAB PTAB 1 dom freech = PID \ used dom freech ∩ used = ∅ ∀ p : PID • p ∈ used ⇒ prio(p) = prio1(p) ∀ p : PID • p ∈ used ⇒ state(p) = state1(p) ∀ p : PID • p ∈ used ⇒ wakingtime(p) = wakingtime1(p) ∀ p : PID • p ∈ used ⇒ smsg(p) = smsg1(p) ∀ p : PID • p ∈ used ⇒ stacktop(p) = stacktop1(p) It is clear that the predicate of the AbsPTAB 1 schema is a function; indeed, it is an identity.

This representation is called TIME . It is defined as a synonym for the naturals. Time can be assumed, for now, to start when the system is started. TIME == N Finally, the SYSERR type is defined. This type defines the values of the error variable set by various system components. When all is well, the error variable is set to sysok ; when an error has occurred, the variable is set to another value. SYSERR ::= sysok | pdinuse | unusedpd | ptabfull 22 3 A Simple Kernel | | | | | | | | | | | emptyqueue schedqfull schedqempty alreadyasleep toomanysleepers notallocsema nofreesemas procalreadyhasmsg destinationnotrcving badmsgdestination nomsg The interpretation of the values are: • • • • • • • • • • • • • • Value pdinuse denotes the state in which a process descriptor (process identifier) is already in use; Value unusedpd denotes the state in which a reference has been made to a process descriptor that is not in use.

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