Introduction to Mathematical Logic, Edition 2021

Abstract

Textbook for students in mathematical logic. Part 1. Total formalization is possible! Formal theories. First order languages. Axioms of constructive and classical logic. Proving formulas in propositional and predicate logic. Glivenko's theorem and constructive embedding. Axiom independence. Interpretations, models and completeness theorems. Normal forms. Tableaux method. Resolution method. Herbrand's theorem.

Links

PhilArchive

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

Similar books and articles

Mathematical logic for computer science.M. Ben-Ari - 1993 - New York: Prentice-Hall.
On Some Completeness Theorems in Modal Logic.D. Makinson - 1966 - Mathematical Logic Quarterly 12 (1):379-384.
On Skolemization in constructive theories.Matthias Baaz & Rosalie Iemhoff - 2008 - Journal of Symbolic Logic 73 (3):969-998.
Resolution calculus for the first order linear logic.Grigori Mints - 1993 - Journal of Logic, Language and Information 2 (1):59-83.
A predicate extension of real valued logic.Stefano Baratella - 2017 - Archive for Mathematical Logic 56 (5):585-605.
Reverse Mathematics and Completeness Theorems for Intuitionistic Logic.Takeshi Yamazaki - 2001 - Notre Dame Journal of Formal Logic 42 (3):143-148.
Bull's theorem by the method of diagrams.Giovanna Corsi - 1999 - Studia Logica 62 (2):163-176.
Mathematical logic: a course with exercises.René Cori - 2000 - New York: Oxford University Press. Edited by D. Lascar.
Identity in modal logic theorem proving.Francis J. Pelletier - 1993 - Studia Logica 52 (2):291 - 308.
Mathematical logic.Willard Van Orman Quine - 1951 - Cambridge,: Harvard University Press.

Analytics

Added to PP
2021-02-12

Downloads
531 (#32,252)

6 months
202 (#11,810)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Karlis Podnieks
University of Latvia

Citations of this work

No citations found.

Add more citations

References found in this work

Introduction to metamathematics.Stephen Cole Kleene - 1952 - Groningen: P. Noordhoff N.V..
First-order logic.Raymond Merrill Smullyan - 1968 - New York [etc.]: Springer Verlag.
Introduction to mathematical logic.Elliott Mendelson - 1964 - Princeton, N.J.,: Van Nostrand.

View all 13 references / Add more references