# CS402 Intro. to Logic, Spring 2013

**Announcement**

- No class on Mar 19 and 21 due to ICST 2013 at Luxembourg
- Make-up class on April 1 (Mon) 8:00 PM at Rm#114
- Help desk for HW #1 on April 9 (Tuesday) 7:00 - 9:00 PM at Rm# 2438, CS building (E3-1)
- The midterm on April 30th 09:00 - 10:20 AM @Rm 113, N1 (김병호 IT)
- No class on May 23 for ICSE 2013
- Make-up class on May 30 (Thursday) 08:00 - 10:30 PM @Rm 113, N1 (김병호 IT)
- The final exam on June 21st (Friday) 7:00 - 9:00 PM @Rm 113, N1 (김병호 IT)

**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: Tues/Thurs 5:00-7:00 PM (e-mail reservation preferred)

**Teaching assistants**: Shin Hong and Seokhyun Moon ( seokhyeon.mun@gmail.com )**Lecture room**: N1 (김병호IT) Rm#113**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**

Mar 5: Administrative Introduction

Mar 7: “Intro. to logic (1/2)”

Mar 12 : “Intro. to logic (2/2)”

Mar 14: Propositional logic - semantics (1/3)

Mar 26, 28 : Propositional logic - semantics (2/3)

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

Apr 2: Propositional normal forms

Apr 4 : **Prop. logic application 1**: How to solve Sudoku?

Apr 9 : **Prop. logic application 2: **How to Test/Verify my C program?

Apr 11: Propositional logic - deductive systems (natural deduction),

Apr 16: Propositional logic -deductive Systems (Gentzen system g)

Apr 18 : Propositional logic -deductive Systems (Hilbert system H))

Apr 23 : Propositional logic- soundness and completeness of H

Apr 30 :** Midterm exam**

May 2 : Predicate logic - semantics (1/3)

May 7 : Predicate logic - semantics (2/3)

May 9 : Predicate logic - semantics (3/3),

May 14 : First order theories, Examples of First Order Theories

May 16 : **Pred. logic application 1**: SMT lib

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

May 21 : Predicate logic - semantic tableau (1/2)

May 28: Predicate logic - natural deduction (1/2), Predicate logic - natural deduction (2/2),

May *: Predicate logic - semantic tableau (2/2), Undecidability of Predicate Logic

May 30 : Temporal logic (1/2),Temporal logic (2/2)

June 4 : **Temporal logic application: model checking**

Temporal logic for concurrent system req. spec., NuSMV

June 11 : Temporal logic - branching time logic (1/2)

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

June 13 :, Temporal logic - LTL, CTL, and CTL*

**Homeworks**

- HW1: due Apr 11th 23:59
- HW2: due Apr 25th 23:59
- HW3: due May 2nd 23:59
- HW4: due May 23rd 23:59
- HW5: due June 6th 23:59 (hw5.pptx)
- HW6: due June 21st 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
- SMTLib
- Z3 SMT solver tutorial