One challenging aspect in invariant synthesis is the derivation of polynomial invariants for arithmetic loops. Such invariants are defined by polynomial relations \(P(x_1, \dots , x_k) = 0\) among the program variables \(x_1, \ldots , x_k\). While deriving polynomial invariants is, in...
(combines bodies of independent successive loops with the same number of iterations); loop-invariant code motion (places a loop-invariant code before the loop); loop permutation/interchange (exchanges inner loops with outer loops); loop unrolling (replicates the loop body several times to decrease ...
In subject area: Computer Science 'Loop Tiling' is a technique in computer science that involves dividing loops into tiles to enhance data-reuse, thereby reducing the amount of data that needs to be backed up during computation-intensive tasks like digital signal processing and communication on EH...
true dependences and the corresponding modeling is realized in OPERA using the notion of utilization sets. Because OPERA manipulates single-assignment statements, it does not require sym- bolic analysis such as loop induction variable identification or loop invariant determina- tion. Since it focuses ...
6026240 Method and apparatus for optimizing program loops containing omega-invariant statements 2000-02-15 Subramanian 5999737 Link time optimization via dead code elimination, code motion, code partitioning, code grouping, loop analysis with code motion, loop invariant analysis and active variable to ...
Our experiments demonstrate the feasibility of invariant synthesis for 'unsolvable' loops and the applicability of our approach to deterministic loops, probabilistic models, and biological systems (Sect. 9). 1 https://github.com/probing-lab/polar. 123 Formal Methods in System Design (2025) 65:163...
Sign in to download full-size image 5.6.14 Loop Unswitching Loop unswitching consists of moving loop invariant conditionals (conditions without side effects and whose logical values are independent of the loop iterations) outward. This transformation involves having as many loops as there are branch...