By Augusto Sampaio, Amast-Fund
This booklet investigates the layout of compilers for procedural languages, in response to the algebraic legislation which those languages fulfill. the actual process followed is to lessen an arbitrary resource application to a basic common shape, in a position to representing an arbitrary goal computing device. this is often accomplished by means of a sequence of standard shape relief theorems that are proved algebraically from the extra uncomplicated legislation. the conventional shape and the similar aid theorems can then be instantiated to layout compilers for specified goal machines. This constitutes the most novelty of the author's method of compilation, including the truth that the complete approach is formalised inside a unmarried and uniform semantic framework of a procedural language and its algberaic legislation. additionally, by means of mechanising the procedure utilizing the OBJ3 time period rewriting approach it really is proven prototype compiler is built as a byproduct of its personal facts of correctness.
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Extra resources for An algebraic approach to compiler design
We can: – implement optimization algorithms of the size of the graph in memory: for example BDDs (binary decision diagrams); 30 Static Analysis of Software – implement an abstraction of the model; – implement a strategy for the analysis of the system based on trajectories (partial analysis); – implement other state management strategies, for example we can replace the state memorization by memorization of the properties of the these states; – etc. 10. Model for verification Based on a program, P, its specification, SP, and a set, A, of the safety properties on P expressed in the form of the expression of the variables of P, it is possible to construct a model, M, that has an input, E, and the Boolean outputs S and S'.
This practice is very topical in the context of rail and/or automotive applications. In the context of [BOU 03, BOU 07], we have shown that it is possible to implement formal techniques for the V&V of conformity of data associated with a rail application. Properties linked to data can be safety or other types of properties. They are introduced within the verification tool via a formal language based on set theory. ). A constraint is verified by exploration of the space of possibilities (topological data), which is equivalent to a proof by case.
There is a possibility that the environment can be taken into account via modeling. The choice of transitions is still the most difficult task: “computing hazard”; – “exhaustive” (model checking): the graph is a construction of all the possible executions and it is then possible to analyze the graph using: - property verification, Formal Techniques for Verification and Validation 29 - sub-tree search, - selection of test case, - etc. Exhaustive simulation [BAI 08] enables the properties of a model to be automatically verified.
An algebraic approach to compiler design by Augusto Sampaio, Amast-Fund