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+# Porting Cubicle to Multicore OCaml
+
+## Introduction
+
+Cubicle is a model checker for verifying safety properties of array based
+systems. Cubicle is written in OCaml, it uses a version of `Alt-Ergo` SMT
+solver and `Functory` library for parallelisation.
+
+Building and running cubicle with Multicore OCaml compiler helped us to find
+and fix issues in weak reference addressed in
+[ocaml-multicore/ocaml-multicore#315](https://github.com/ocaml-multicore/ocaml-multicore/pull/315)
+[ocaml-multicore/ocaml-multicore#316](https://github.com/ocaml-multicore/ocaml-multicore/pull/316)
+and [ocaml-multicore/ocaml-multicore#317](https://github.com/ocaml-multicore/ocaml-multicore/pull/317)
+
+## Benchmarks
+
+Couple of sequential cubicle example code have been added to our
+benchmarking suite sandmark [ocaml-bench/sandmark#125](https://github.com/ocaml-bench/sandmark/pull/125).
+This will be useful for performance testing and fine tuning the Multicore OCaml
+compiler. The results for these cubicle benchmarks can be viewed [here](https://gist.github.com/Sudha247/cb977c9754955ccc6064482b83029f87).
+
+## Parallelisation
+
+Cubicle uses the library `Functory` for parallelisation. Functory is a
+distributed computing library for OCaml with support to perform computations on
+multiple cores and on a network of machines. Functory follows Google's MapReduce
+approach to execute code in parallel.
+
+`Functory.Cores` - module runs tasks on multiple cores on the same machine. It
+is implemented with `Unix` processes, using `fork` and `wait` and communication
+happens through marshaling. [2]
+
+## Porting to Multicore OCaml
+
+A straightforward way to port Cubicle to use Multicore OCaml would be to make an
+interface similar to `Functory` that uses Multicore OCaml. Cubicle uses only
+the `compute` function from `Functory.Cores` module. An attempt to do that is
+[here](https://github.com/Sudha247/cubicle/blob/wip-multicore/bwd.ml#L279-L312),
+embedded into this branch of cubicle itself. This has the
+`Functory.Cores.compute` rewritten in Multicore OCaml using Domains and
+Channels.
+
+### Observations
+
+We modified cubicle to use the multicore interface of functory, the code is
+available in this [branch](https://github.com/Sudha247/cubicle/tree/wip-multicore).
+
+It was causing segmentation faults while executing on multiple domains,
+possibly due to multiple domains altering the same objects simultaneously.
+Segfaults have been resolved in 4.10.0+multicore compiler variant(parallel
+minor GC) and we are able to obtain the backtrace of the failures.
+
+For instance this is the backtrace for `german_pfs` while executing on 4 cores:
+
+```
+$ ./cubicle.opt examples/german_pfs.cub -j 4
+cores: 4
+
+node 1: unsafe[1]
+                                                                                                    39 (24+15) remaining
+
+
+Not_found
+Fatal error: Not_found
+Raised at file "common/vec.ml", line 74, characters 23-38
+Called from file "common/iheap.ml", line 73, characters 44-63
+Called from file "common/iheap.ml", line 102, characters 9-22
+Called from file "list.ml", line 110, characters 12-15
+Called from file "list.ml", line 110, characters 12-15
+Called from file "smt/solver.ml", line 945, characters 2-123
+Called from file "smt/alt_ergo.ml", line 538, characters 6-27
+Called from file "prover.ml", line 215, characters 2-61
+Called from file "prover.ml", line 226, characters 2-24
+Called from file "fixpoint.ml", line 336, characters 4-18
+Called from file "fixpoint.ml", line 390, characters 6-28
+Called from file "bwd.ml", line 199, characters 15-47
+Called from file "bwd.ml" (inlined), line 332, characters 18-37
+Called from file "bwd.ml", line 300, characters 29-39
+Called from file "bwd.ml", line 307, characters 6-26
+```
+
+### Problem
+
+The backward reachability algorithm uses the same instance of the SMT solver
+for the entire search. This doesn't go well with Multicore OCaml because all
+domains operate on the same major heap, with possible operations on objects by
+multiple domains (analogous to threads) simultaneously.
+
+One solution to this is to have a separate instance of the SMT solver
+for each domain. This way one domain does not meddle with data of another
+domain.
+
+>Cubicle’s integration with the SMT solver at the API level is crucial for
+efficient treatment of the subsumption check. For any such check, a single
+context for the SMT solver is used; it just gets incremented and repeatedly
+verified. To support the efficient (symmetry-reduced) and exhaustive
+application of the inexpensive redundancy and subset checks, cubes are
+maintained in normal form where variables are renamed and implied literals
+removed at construction time.
+
+-- [1]
+
+This statement although poses the question whether the correctness of the BRAB
+algorithm still holds if a separate instance of SMT solver is used by every
+domain.
+
+### Alternative approach
+
+An alternative approach would be to code a concurrent version of the breadth
+first search using Multicore primitives. This will need some synchronisations
+in the algorithm to ensure its correctness and might warrant some amount of
+code reorganisation.
+
+---
+
+#### References
+
+[1] Conchon, Sylvain, Amit Goel, Sava Krstić, Alain Mebsout, and Fatiha Zaïdi.
+**"Cubicle: A parallel SMT-based model checker for parameterized systems."** In
+International Conference on Computer Aided Verification, pp. 718-724. Springer,
+Berlin, Heidelberg, 2012.
+
+
+[2] Filliâtre, Jean-Christophe, and K. Kalyanasundaram. **"Functory: A
+distributed computing library for Objective Caml."** In International Symposium
+on Trends in Functional Programming, pp. 65-81. Springer, Berlin, Heidelberg,
+2011.