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Formal Specification and Verification of a Java Implementation of In-Place Super Scalar Sample Sort

This is the verified code and all proof files.

The code in src is based on this Rust rewrite of the original paper implementation.

The proofs are located in proofs and can be loaded using the KeY binaries in tools. The contracts folder contains listing of subsets of all contracts used for filtering. The proof statistics can be found in statistics.

Usage

You can either run the respective KeY binaries in tools or take some inspiration from the justfile.

Make sure to pass -Dkey.contractOrder="<path to contract-order.txt>" to java such that the contract order file is loaded.

Caveats

  • Overflow proofs and annotations can be found on the branch overflow. They have to be loaded using the second KeY binary key-2.11.0-o-exe.jar.
  • To run proofs in contracts/constructors.txt the no_state modifier on BucketPointers::bucketStart and BucketPointers::bucketSize has to be removed. Both methods are only no_state when using the final heap which has a soundness problem with constructors. There is currently no nicer way to do this in KeY automatically.
  • The methods Tree::classify, Tree::classify_all as well as Tree::build were left out as future work.
  • To run the code use the bench branch which has the proper fallback sorting algorithm not commented out.
  • The sampling function Functions::select_n is left empty and should probably be implemented.