TiML: A Functional Programming Language with Time Complexity (Parser, Typechecker and Coq Formalization)

Setup Instructions

1. Install SML/NJ. Make sure command sml and ml-build is in current PATH. On Ubuntu, use this command to install all necessary components of SML/NJ:

   sudo apt-get install smlnj libsmlnj-smlnj ml-yacc ml-ulex
   

2. Install the Z3 SMT solver version 4.4.1. Make sure command z3 is in current PATH. Z3-4.4.1 is required. Z3-4.4.2 has a known issue.

3. Install Ruby. Make sure command ruby is in current PATH.

4. Use make to build TiML, or use ./test.sh to build and test on files in examples sub-directory.

5. (Optional). Install MLton (a whole-program optimizing SML compiler). Make sure command mlton, mlyacc and mllex is in current PATH. Use make mlton to build TiML with MLton, or use ./test-mlton.sh to build and test on files in examples sub-directory.

6. (Optional, requires step 5). Run ruby benchmark.rb in directory examples, which will generate file result.csv that reproduces results in Table 1 of the paper.

7. (Optional). Follow emacs/README.rst to install TiML mode on Emacs.

Play with TiML

examples/test-suite.pkg lists all the benchmark examples. You can use this command to run all the examples:

./main.sh examples/stdlib.pkg examples/test-suite.pkg

or this command to run a single example:

./main.sh examples/stdlib.pkg examples/FILENAME.timl

Note that examples/stdlib.pkg (the standard library) is usually needed.

Readers are advised to read the example files following the order in Table 1 of the companion paper (and in file examples/test-suite.pkg), as new syntax are explained in that order.

To reproduce the results in Table 1 of the companion paper, you can run

cd examples
ruby benchmark.rb

The results will be printed out and written to file "result.csv". Note that this experiment requires MLton, and your processing time may vary.

Coq Proof

The Coq formalization of TiML and its soundness is in proof/Soundness.v. The proof requires Coq 8.5pl3. To check the proof, first compile the utility library:

make

You can also compile the utility library and the soundness proof altogether:

make soundness