Translation for Temporal Operations Sample Clauses

Translation for Temporal Operations. ‌ There are two types of temporal operations used in AGREE: – The operation evaluates to its left-hand side expression when the transi- tion system is in its initial state. Otherwise it evaluates to its right-hand side expression. For example, the expression: true false is true in the initial state and false otherwise. – The pre operation takes a single expression as an argument and returns the value of this expression in the previous state of the transition system. For example, the expression: x = (0 pre(x) + 1) constrains the current value of variable x to be 0 in the initial state; otherwise it is the value of x in the previous state incremented by 1. In the model’s initial state the value of the pre operation on any expression is undefined. Every occurrence of a pre operator must be in a subexpression of the right hand side of the → operator. The pre operation can be performed on expressions containing other pre operators, but there must be → operations between each occurrence of a pre operation. For example, the expression: true pre(pre(x)) is not well-formed, but the expression: true pre(x pre(x)) is well-formed. To represent temporal constructs, the Simulink observer needs to differentiate the behavior at the initial state from the other states. It also needs to remember variable values from the previous calls to the function. We make use of persistent variables to record the previous state of the function’s variables across multiple calls. A single persistent Boolean variable, first time, is used for all expressions to indicate whether or not the function is being called for the first time. Additionally, a persistent variable is created for each unique pre expression1. We refer to these variables as the “pre variables”. The Simulink unit delay block could also be used to remember previous variable values by placing the graphical block outside of the MATLAB function for each “pre variable”. However, the block needs to be placed outside of the MATLAB function, requiring any “pre variable” to become an input to the function; the graphical representation also makes it harder to automate. The persistent variables used to model the and pre operations appear in the following contexts in the Simulink observer:
Sample 1
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