By Greg Morrisett (auth.), Chris Hawblitzel, Dale Miller (eds.)
This ebook constitutes the refereed complaints of the second one foreign convention on qualified courses and Proofs, CPP 2012, held in Kyoto, Japan, in December 2012. The 18 revised normal papers awarded have been rigorously reviewed and chosen from 37 submissions. They care for these issues in machine technological know-how and arithmetic during which certification through formal ideas is crucial.
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Additional info for Certified Programs and Proofs: Second International Conference, CPP 2012, Kyoto, Japan, December 13-15, 2012. Proceedings
Sample text
Sin)[n2] →∼(e, succs) |= n1 >> n2. In other words, AC only removes non-strict dominators. Initially, AC sets the entry’s strict dominators to be empty. Because in a well-formed CFG, the entry has no predecessors, the invariant holds at the very beginning. At each iteration, suppose that we pick a node n, and updates one of its successors s. (sin)[n]). (sin)[s], then n’ does not strictly dominate s because st holds the invariant. (sin)[n]), then n’ does not strictly dominate n because st holds the invariant.
At each iteration, suppose that we pick a node n, and updates one of its successors s. (sin)[n]). (sin)[s], then n’ does not strictly dominate s because st holds the invariant. (sin)[n]), then n’ does not strictly dominate n because st holds the invariant. Appending the path from the entry to n that bypasses n’ with the edge from n to s leads to a path from the entry to s that bypasses n’. Therefore, n’ does not strictly dominate s, either. 4 Extension: The Cooper-Harvey-Kennedy Algorithm The CHK algorithm is based on the following observation: when AC processes nodes in a reversed post-order (PO), if we represent the set of strict dominators in a list, and always add a newly discovered strict dominator at the head of the list (on the left in Figure 9), the list must be sorted by PO.
194–206 (1973) 11. : A fast algorithm for finding dominators in a flowgraph. ACM Trans. Program. Lang. Syst. 1, 121–141 (1979) 12. : A formally verified compiler back-end. Journal of Automated Reasoning 43(4), 363–446 (2009) 13. : On loops, dominators, and dominance frontiers. ACM Trans. Program. Lang. Syst. 24(5), 455–490 (2002) 14. : Formalizing the LLVM intermediate representation for verified program transformations. In: POPL 2012 (2012) On the Correctness of an Optimising Assembler for the Intel MCS-51 Microprocessor Dominic P.