Computability theory of and with scheme

Master

In Maynard (USA)

Price on request

Description

  • Type

    Master

  • Location

    Maynard (USA)

  • Start date

    Different dates available

6.844 is a graduate introduction to programming theory, logic of programming, and computability, with the programming language Scheme used to crystallize computability constructions and as an object of study itself. Topics covered include: programming and computability theory based on a term-rewriting, "substitution" model of computation by Scheme programs with side-effects; computation as algebraic manipulation: Scheme evaluation as algebraic manipulation and term rewriting theory; paradoxes from self-application and introduction to formal programming semantics; undecidability of the Halting Problem for Scheme; properties of recursively enumerable sets, leading to Incompleteness Theorems for Scheme equivalences; logic for program specification and verification; and Hilbert's Tenth Problem.

Facilities

Location

Start date

Maynard (USA)
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02139

Start date

Different dates availableEnrolment now open

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Subjects

  • Programming
  • Materials
  • Logic

Course programme

Lectures: 3 session(s) / week, 1.5 hour(s) / session


Class sessions will be a mixture of mini-lectures by the Instructor and problem solving in student teams of 4 or 5. Students will also present mini-lectures in later weeks.


Introduction


This is an graduate introduction to Programming Theory, Logic of Programming, and Computability, with the programming language Scheme used to crystallize computability constructions and as an object of study itself.


The prerequisites for the course are 6.001 and 6.042 or equivalent background in Scheme programming and Discrete Mathematics.


The course instructor is Prof. Albert R. Meyer. There are no TA's or graders.


There are no required texts. Course Notes and excerpts from various references and papers will be posted on the website as needed. A detailed schedule including daily lecture topics will appear in the course calendar.


There will be weekly problem sets early in the term, and a few longer problem sets later in the term.


You are encouraged to collaborate on homework as you do on in-class problems. However, you must write up solutions on your own, neither copying solutions nor providing solutions to be copied. If you do collaborate on homework, you must cite, in your written solution, all of your collaborators. Also, if you use sources beyond the course materials in one of your solutions, e.g., an "expert" consultant, an unassigned text, or material from prior terms, be sure to include a proper scholarly citation of the source.


Plagiarism, cheating, and similar anti-intellectual behavior are serious violations of academic ethics and will be correspondingly penalized. If you are concerned about a possible violation of this kind, please talk with the Lecturer.


There will be one in-class quiz in the middle of the term, and a final project due on the last day of class. There will not be a final exam.


Grades for the course will be based on the following approximate weighting:


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Computability theory of and with scheme

Price on request