A Complete Invariant Generation Approach for P-solvable Loops

  title={A Complete Invariant Generation Approach for P-solvable Loops},
  author={Laura Kov{\'a}cs},
  booktitle={Ershov Memorial Conference},
We present an algorithm for generating all polynomial invariants of Psolvable loops with assignments and nested conditionals. We prove termination of our algorithm. The proof relies on showing that the dimensions of the prime ideals from the minimal decomposition of the ideals generated at an iteration of our algorithm either remain the same or decrease at the next iteration of the algorithm. Our experimental results report that our method takes less iterations and/or time than other polynomial… CONTINUE READING

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