course_outline
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course_outline [2012/03/13 17:01] – jonathan | course_outline [2012/04/03 20:06] (current) – jonathan | ||
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**Specification** | **Specification** | ||
- | n,d: INT | + | |
- | sqrt | + | |
- | require n >= 0 | + | require n >= 0 |
- | ensure (d^2 <= n < (d+1)^2) & (n = old n) | + | ensure (d^2 <= n < (d+1)^2) & (n = old n) |
+ | |||
+ | Problem: Convert the above specification ito Rodin and use Rodin refinement rules to develop the code for the method //sqrt//. | ||
+ | |||
+ | We did the celebrity problem ind detail including the addition of a variant for the new event and witnesses for disappearing parameters. We also studied injections, surjection and bijections of functions and relations. See Rodin folder. | ||
+ | |||
+ | Review of arithmetic, set theory, predicate logic and Event-B invariant and refinement proof obligations. Translation between set theoretic statements and predicate logic. Re-write rules. | ||
===== Weakest Preconditions===== | ===== Weakest Preconditions===== | ||
- | Tuesday: | + | We did not cover weakest preconditions. |
+ | |||
+ | Dijkstra weakest precondition calculus and loop variants and invariants.Proving loop termination. Relationship of Dijkstra weakest precondition calculus to Event-B. Slides on the SVN. | ||
- | Thursday: Review of arithmetic, set theory, predicate logic and Event-B invariant and refinement proof obligations. Translation between set theoretic statements and predicate logic. Re-write rules. | ||
course_outline.1331658111.txt.gz · Last modified: 2012/03/13 17:01 by jonathan