Chapter 2
Natural Deduction
Ich wollte zunchst einmal einen Formalismus aufstellen, der dem
a
wirklichen Schlieen mglichst nahe kommt. So ergab sich ein
o
,Kalkl des natrlichen Schlieens.1
u
u
Gerhar
Chapter 3
Sequent Calculus
In this chapter we develop the sequent calculus as a formal system for proof
search in natural deduction. The sequent calculus was originally introduced
by Gentzen [Gen35],
62
Draft of March 24, 2004
Chapter 4
Focused Derivations
The sequent calculus as presented in the previous chapter is an excellent foundation for proof search strategies, but it is not yet practical.
Chapter 1
Introduction
Logic is a science studying the principles of reasoning and valid inference. Automated deduction is concerned with the mechanization of formal reasoning,
following the laws of l
Assignment 2
1
15-815 Automated Theorem Proving
Frank Pfenning, Spring 2004
Out Jan 29, due Feb 5
Assignment 2: A Certifying Decision Procedure
In this assignment you may work by yourself or with a pa
5-815 Automated Theorem Proving
Assignment 1: Natural Deduction and
Sequent Calculus
The assignment is worth 80 pts, due Thu Jan 29
Reading: Chs. 2.1 and 3.3
Code: none
Problem 1: Deduction (35 pts)
F
Assignment 5
1
15-815 Automated Theorem Proving
Frank Pfenning, Spring 2004
Out Mar 3, due March 18
80 pts
Assignment 5: Quantication
In this assignment we explore the laws of quantication in rst-orde