By T. Streicher

ISBN-10: 0817635947

ISBN-13: 9780817635947

Typing performs a major position in software program improvement. varieties may be consid­ ered as vulnerable requirements of courses and checking application is of a undeniable variety offers a verification application satisfies this kind of susceptible speci­ fication. by means of translating an issue specification right into a proposition in confident good judgment, you could cross one step extra: the effectiveness and unifonnity of a con­ structive facts permits us to extract a application from an explanation of this proposition. hence via the "proposition-as-types" paradigm one obtains varieties whose parts are regarded as proofs. each one of those proofs encompasses a software right w.r.t. the given challenge specification. This opens the best way for a coherent method of the derivation of provably right courses. those positive aspects have ended in a "typeful" programming kind the place the classi­ cal typing ideas similar to files or (static) arrays are better via polymor­ phic and established kinds in the sort of method that the categories themselves get a fancy mathematical constitution. structures equivalent to Coquand and Huet's Calculus of Con­ structions are calculi for computing inside of prolonged sort platforms and supply a foundation for a deduction orientated mathematical origin of programming. nevertheless, the computational strength and the expressive (impred­ icativity !) of those structures makes it tricky to outline acceptable semantics.

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Correctness and Completeness (Progress in Theoretical Computer Science) by T. Streicher


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