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The NAND programming languages

This is a collection of Jupyter Notebooks for the NAND family of programming languages that accompany the upcoming book Introduction to Theoretical Computer Science.

You can launch all the notebooks live using either Binder or Azure notebooks, see below for links to Google collaborative notebooks versions as well.

However, if you want to play with them more extensively you'd probably want to download them to your own machine. You can do so by (1) clone/download (using the this button button on the top right corner) all of the files to a local folder, (2) install anaconda, and then install Jupyter Lab by opening up a command prompt (or maybe "anaconda prompt", in windows) and type conda install -c conda-forge jupyterlab. You then change directory to the folder containing these notebooks and type jupyter lab. For visualizing circuits you will need to also install graphviz, which I believe can be done by typing conda install -c anaconda graphviz

The main notebooks contained in this repository are:

  1. The NAND Programming Language ( live version on binder version on google collab ): Definition of the NAND programming language, relation to Boolean circuits, syntactic sugar, computing every function, and representing it as list of triples

  2. Blog post about the course (live version version on google collab ) : High level overview of the main results in the course.

  3. NAND++ programming language ( live version version on google collab ): Overview of the NAND++ programming lanaguage.

  4. The Cook Levin Theorem (live version version on google collab ): Overview of the Cook Levin Theorem.

  5. Lambda calculus ( live version version on google collab ): Some notes on the lambda calculus and the Y combinator.

Note: As of Summer 2018 I am changing a bit the syntax of the languages, and hence some notebooks use the older syntax foo := bar NAND blah and some use the newer syntax foo = NAND(bar,blah)

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