# CS402 Intro. to Logic, Spring 12

**Announcement**

- No class on Feb 8th (due to Korea Conference on Sofware Engineering (KCSE) 2012).
- Mid-term exam on March 27 (Tues) 9:00 - 11:00 AM
- We have a class on April 17, but no class on April 19 (due to IEEE Intl. Conf. on Software Testing, Verification and Validation (ICST)).
- Make-up class on May 2nd (Wed) 8:00 PM
**HW#5 deadline is delayed to May 29th (Tue) 11:59 PM.**- Final exam: May 22nd 9:00 - 12:00 AM

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**Administrative** Information

**Instructor**: Moonzoo Kim

Office: 2434 (located at the east wing)

Phone:042-350-3543

E-mail: moonzoo@cs.kaist.ac.kr

Office hour: 3:00-4:30 Mon, 10:30 - 12:00 Tues

**Teaching assistants**: Shin Hong and YoungJoo Kim**Lecture room**: Rm#3445 (a.k.a. Lecture room #6)**Lecture hours**: 9:00-10:30 Tues/Thur**Grading:**attendance, quiz, class participation: 20%, HW: 30%, midterm exam.: 25 %,final exam.: 25 %- Late HW is accepted with 20% penalty in 1 day, 40% penalty in 3 days. HW will not be accepted after that.
- You should submit both hadcopy and softcopy. Missing either format will receive 10% penalty.
- More than 8 absences of class will get
**F grade** - Late attendance is considered as 1/3 absence, so to start class on time.
**Note:**The official language in the class is English. All students should submit homework and exam in English.**Pre-requisite**:- CS204 Discrete mathematics
- basic understanding of Unix/Linux shell and utilities and C programming (this course does NOT provide support for tool installation and error handling during tool usage)
- CS 402 BBS at NOAH : All class attendants are encouraged to write questions or comments on the class at the BBS.

**Course Material**

**Main text**:- "Mathematical Logic for Computer Science" by M.Ben-Ari, Springer, 2nd Edition
- "Logic in Computer Science" by M.Huth and M.Ryan, Cambridge university press, 2nd edition
- Ch 2-3
**Recommended reading list:**- "A Mathematical Introduction to Logic" by H.B.Enderton, Academic Press, 2nd edition
- "Logic and Structure" by D.V.Dalen, Springer, 4th edition

**Course Schedule**

**Wk 1: Introduction**

- Feb 7: Administrative Introduction

- Feb 14: “Intro. to logic (1/2)”

- Feb 16: “Intro. to logic (2/2)”

- Feb 21: Propositional logic - semantics (1/3)

- Feb 23: Propositional logic - semantics (2/3)

- Feb 28: Propositional logic - semantics (3/3)

- Mar 6: Propositional normal forms

- Mar 8: **Prop. logic application 1**: How to solve Sudoku?

- Mar 13: **Prop. logic application 2: **How to Test/Verify my C program?

** **- Mar 15: Propositional logic - deductive systems (natural deduction),

Propositional logic -deductive Systems (Gentzen system g)

- Mar 20: Propositional logic -deductive Systems (Hilbert system H))

- Mar 22: Propositional logic- soundness and completeness of H

**Wk 8: Midterm exam**

- Apr 3: Predicate logic - semantics (1/3)

- Apr 5: Predicate logic - semantics (2/3)

- Apr 10: Predicate logic - semantics (3/3),

- Apr 12: First order theories, Examples of First Order Theories

- Apr 17: **Pred. logic application 1**: SMT lib

**Pred. logic application 2**: Concolic testing

- Apr 24: Predicate logic - semantic tableau (1/2), Predicate logic - semantic tableau (2/2)

- Apr 26: Predicate logic - natural deduction (1/2), Predicate logic - natural deduction (2/2)

- May 2: Undecidability of Predicate Logic

- May 3: Temporal logic (1/2),Temporal logic (2/2)

- May 3: Temporal logic- model checking, Temporal logic -NuSMV example

- May 8: Temporal logic - branching time logic (1/2)

- May 10:Temporal logic - branching time logic (2/2)

- May 15:, Temporal logic - LTL, CTL, and CTL*

**Homeworks**

- HW#1 : due Mar 15 23:59
- HW#2: due Mar 27 23:59
- HW#3: due April 19 23:59
- HW#4: due May 6 23:59
- HW#5: due May 29 23:59

**Resources**

- Wikipedia
- SAT competition 2007 (look at input format section)
- Minisat
- The Quest for Efficient Boolean Satisfiability Solvers
- Cygwin : a linux-like platform for Windows
- MikTek : the best typesetter for mathematical/logical formulas
- CBMC : A bound model checker based on SAT solver for C programs
- Table of mathematical symbols from Wikipedia
- NuSMV