COMPUTABILITY THEORY

Matematica COMPUTABILITY THEORY

0512300026
DIPARTIMENTO DI MATEMATICA
MATHEMATICS
2013/2014

YEAR OF COURSE 3
YEAR OF DIDACTIC SYSTEM 2010
PRIMO SEMESTRE
CFUHOURSACTIVITY
648LESSONS
Objectives
KNOWLEDGE OF BASIC TOPICS IN COMPUTABILITY THEORY.
KNOWLEDGE OF FORMAL LANGUAGE AND ABILITY IN PROBLEM-SOLVING.
Prerequisites
A CERTAIN MATHEMATICAL MATURITY IS REQUESTED, CORRESPONDING TO A COUPLE OF YEARS OF UNDERGRADUATE STUDIES IN MATHEMATICS.
Contents
IT IS EXPECTED TO COVER THE FOLLOWING TOPICS:
1) RECURSIVE FUNCTIONS
2) NUMBERINGS
3) RECURSIVE AND RECURSIVELY ENUMERABLE SETS
4) GOEDEL THEOREMS
5) REDUCIBILITY AND DEGREES
6) RECURSION THEOREMS
Teaching Methods
TRADITIONAL
Verification of learning
ORAL EXAMINATION
Texts
THE MAIN REFERENCES WILL BE THE LECTURE NOTES WRITTEN BY PROF. SPADA AND THE BOOK: N. CUTLAND, COMPUTABILITY, CAMBRIDGE UNIVERSITY PRESS.
More Information
FOR MORE INFORMATION PLEASE CONTACT THE TEACHER.
  BETA VERSION Data source ESSE3 [Ultima Sincronizzazione: 2016-09-30]