Sets, Logic, Computation is an introductory textbook on metalogic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. The audience is undergraduate students with some background in formal logic, e.g., what is covered by forall x.
This repository/directory only contains the LaTeX files and illustrations needed to typeset the textbook Sets, Logic, Computation. It also requires the material in the Open Logic Text.
You can download the PDF of the most recent version from the Open Logic builds site:
We also have archived versions:
You can order a hardcopy of the Fall 2021 edition from Amazon [US|CA|UK|DE|AU].
To install and compile:
- Download/install the Open Logic Text from GitHub, including photos and line art portraits.
- Navigate to the subdirectory
courses/
- Put the content of this repository into a subdirectory of it, say
courses/sets-logic-computation/
. - To get the graphics for the cover, navigate to the subdirectory
OpenLogic/assets
and put the content ofphotos
into the subdirectoryphotos
, and the content ofportraits
into the subdirectoryportraits
If you use git
, this should do it:
# git clone https://github.com/OpenLogicProject/OpenLogic.git
# cd OpenLogic/courses
# git clone https://github.com/rzach/sets-logic-computation.git
# cd ../assets
# git clone https://github.com/OpenLogicProject/portraits.git
# git clone https://github.com/OpenLogicProject/photos.git
Inside courses/sets-logic-computation/
, you can now compile:
# pdflatex slc-screen
or just # make
if you have latexmk
installed. (You'll also have to
do makeglossaries slc-screen
to get the glossary, and bibtex slc-screen
for the bibliography.)
The file slc-screen.tex
produces a color version of the text
with smaller margins for screen reading. slc-print
produces a
black-and-white version designed for printing on Crown Quarto stock
(without cover).
Both versions load slc.tex
, which contains the actual
material. It in turn includes other files, most of them from the
OpenLogic
repository. So you won't get a complete book unless you
download into the right subdirectory of and compile from there.
Sets, Logic, Computation by Richard Zach is licensed under a Creative Commons Attribution 4.0 International License.