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These projects are suitable for both BSc and MSc projects (including master's thesis projects) for students in the IC school of EPFL, and are suitable for both computer science and communication systems students. Each project is for one student in a given semester. Students report directly to Prof. Viktor Kuncak, even if PhD students are involved to help with various aspects of the project. The information on whether the project is available or not is also maintained only by Viktor Kuncak, so please contact him if you are interested in the project.

Laboratory for Automated Reasoning and Analysis has BSc and MSc projects available (for PhD program see http://phd.epfl.ch/edic ). We are looking for students with high grades that are excellent in advanced functional programming and ideally strong in some of the core mathematical methods such as discrete mathematics, numerical analysis, logic, and probabilistic reasoning.

Below we list several projects reflecting the current interests of our research group. All projects can be adapted to fit the scope of a semester project (bachelor & master) or master's project.

Many of these project are based on the Leon system for synthesis and verification. We suggest that you get the basic idea of Leon in any case.

Licence for code: Please note that we release software under open source licenses and we request our contributors to agree that EPFL LARA holds copyright of the code that you contribute.

Disclaimer: If you have your own idea, feel free to check with us, but please note that we some times cannot accommodate your own project suggestions even if the student is brilliant and the project is excellent. Moreover, even if you select one of the projects listed below, we reserve the right to not offer you the project. By deciding to talk to us you agree that you will not require detailed justification on why we made our negative decision.

Using our library to generate WebAssembly, add WebAssembly code generator to stainless, mirroring the existing JVM bytecode generator. For code generation using WebAssembly, see the later lectures at https://lara.epfl.ch/w/cc17:top . For stainless, see stainless.epfl.ch .

The goal of this task is to design a reasonably fast front end for the subset of Scala that is relevant for Leon. The front-end should be able to process existing regression test suite for Leon, but will necessarily deviate from scalac or dotty on some examples. In particular, the type system can be simpler and implicit resolution can be more restrictive than in Scala. Optionally, the front end may support omitting type declarations even for certain function parameters, if these can be inferred given a whole program using type inference for parametric types with simple structural subtyping.

Design a translation of a clean subset of JavaScript including higher-order functions and (mostly immutable) objects into Leon. Map numbers into Double (apply overflow checks as needed), and enable annotations or special function calls to describe types and contracts.

Note that `(f:TObj) ⇒ e` can be encoded as `TObj(x ⇒ e)`.

Develop a layer on top of git for managing revisions of Leon programs at the level of high-level syntax tree transformations, with conflict resolution doing semantic commutativity checks.

Define and prove correct a library for performing arithmetic (+, -, *, /, %) on modular arithmetic with large integers. Such operations are analogous to Int in that they perform modular arithmetic (unlike the unbounded BigInt), but the number of bits can be user-specified (unlike Int).

Verify correctness of implementing group addition operations on elements on elliptic and Edwards curves over certain finite fields (such as those over the prime field of size 2^255-19). See

• Elliptic_curve
• Edwards_curve
• Elliptic_curve_cryptography

This project likely requires the previous project on parameterized-length bitvectors.

Verify correctness of electronic contract code. See, for example:

• Ethereum
• http://www.wired.com/2014/01/ethereum/

Propose a way to model security protocols in Leon and perform a case study to verify example protocols.

Develop a stand-alone parser for Leon programs, which aims to accept almost any sequence of characters as input and interpret it to the best of its knowledge as a Leon program. Optionally also allow syntax supported in other programming languages. A requirement is that a valid Leon program should be interpreted in the same way as in the current front end.

More information:

• Synthesizing Java Expressions from Free-Form Queries

Develop and specify additional applications and/or libraries for Stainless system, along with their specifications. Examples of applications include parsing algorithms, compilers, email clients, web applications (e.g. a news portal). Examples of libraries include data structures, linear algebra libraries, user interface libraries, as well as sound and graphics processing libraries.

Among possible directions is to use http://www.scala-js.org/ to generate Javascript from Leon. To make such code useful, explore building Leon libraries that interface to Javascript APIs (focusing to the extent possible on stateless APIs) and build Leon specifications and stubs that approximate the behavior of these APIs to enable verification and synthesis.

Port the GenC back end from Leon to stainless. This generates C code from a subset of Leon, and evaluate it on case studies for embedded code, IoT code, or fragments of OS code functinality.

For teaching and research we are developing a library that can parse arbitrary context-free grammars, used in computer language processing course for exercises and the project, and in the future to be used in research. It is currently primarily based on generalizations of CYK algorithm as well as LL(1). Your task would be to introduce GLL, GLR, and Packrat parsing algorithms into this framework. Thanks to deep embedding, our library enables pre-analysis of grammars including the computation of first and follow sets.

Another project in this scope is to further advance the grammar.epfl.ch web service.

A version of Scala combinator library interface built on top of this library is also of interest, see e.g. (https://github.com/scala/scala-parser-combinators ).

If one of the projects lists sounds interesting and you believe you are a suitable candide, please do not hesitate to contact Viktor Kuncak, http://lara.epfl.ch/~kuncak via email to make an appointment. In your email, please include your CV, the list of your grades, and a description of projects that you did at EPFL or outside of EPFL.

Feel free to also talk to the other members of LARA group about their ongoing work and projects, see http://lara.epfl.ch