Refinement and Term Synthesis in Loop Invariant Generation

We present a technique for refining incorrect or insufficiently strong loop invariants in correctness proofs for imperative programs. We rely on previous work [16] in combining program analysis and Proof Planning, and exploit IsaPlanner’s use of meta-variables and goal-naming to generate correct loop invariants. We present a simple example in detail and show how this scales to more complex problems.

Risk Mitigation Planning, Implementation, and Progress Monitoring

This chapter describes how any event or condition that might affect your work is termed as a risk. All risks are not harmful. Identifying easier options to complete a task are not harmful events at all. Events can be classified in two parts: threats and opportunities. A Threat event is one which can cause problems for the expectations of the developer. An opportunity is also a risk, but one which can be turned to an advantage. If these opportunities which arise can be handled carefully and implemented properly they can lead to extraordinary results in reducing cost, time and can provide a boost to effectiveness of the project. When work on a needed project started, it requires an error proof planning. Undoubtedly every project is carried out with great planning; even then carefully planned project can bring trouble. In all, the appropriate steps taken to examine possible project risks can lead to new avenues to improve company productivity.