This course is an introduction to two kinds of formal systems - languages and logics - with important applications to computer science. The study of formal languages underlies important aspects of compilers and other language processing systems, as well as the theory of computation. Various systems of logic and automatic reasoning are put to use in artificial intelligence, database theory and software engineering. The entire course will give you practice in precise thinking and proof methods that play a role in the analysis of algorithms. The programming assignments in Lex and Prolog provide practical experience with some theoretical topics.
Topic | ,Week | ,Chapter/ Parts |
Introduction | 1 | 1 |
Propositional Logic and Proofs | 1-2 | 2-3 |
Predicate Logic and Proofs | 3-4 | 4-5 |
Applications: Prolog and Verification | 5-6 | 6-7 |
Exam #1 | 6 | 1-7 |
Finite Automata, Regular Expressios | 7-9 | 8-10 |
Lex: a Regular Expression Language | 10 | 11 |
Context-Free Grammars & Applications | 11-12 | 12-13 |
Turing Machines & Solvability | 13-14 | 14 |
Quizzes | 20% |
Programs | 20% |
Exams | 60% |
The two exams, including the final, each cover about a half of the semester; the final is not cumulative. Of these exams the highest score will count 35%, and the lowest 25%.
All testing is closed book, but limited notes are permitted, as follows for exams (but not for quizzes). One sheet of notes (8.5 by 11 inches, 1 side only). NO COPYING is allowed. That means no photocopying of anything, even the textbook, though you may write out material from it verbatim. It also means no copying of anyone else's notes, even by hand. You may use a computer for editing your own notes. The sheet must be turned in with your exam. Violations of these rules for creating the notes is considered a violation of the Honor Code.
There is to be NO group work on the programs. Receiving direct contributions to the code that is submitted is considered a violation of the Honor Code. (See cs.gmu.edu/wiki/pmwiki.php/HonorCode for the GMU and Computer Science guidelines.)
Programs will be marked down 25% each class they are late; in particular, it is marked down 25% after the due date.
IN ORDER TO GET A PASSING GRADE each student will also meet at least once with their academic advisor during the semester.