Computer Guidance in Logical Research

Félix Bou

Artificial Intelligence Research Institute (IIIA - CSIC) Barcelona (Spain) [email protected]

Barcelona Seminar 17th October 2008

Félix Bou (IIIA - CSIC) Computer Guidance in Logical Research 17th October 2008, Barcelona 1 / 5 The main tool is LATEX

Everybody knows about it. This means something. Any editor can be used to write code, but it is desirable to use an efficient one (Vi(m), , WinEdt, TeXnicCenter, , . . . ). This saves a lot of time. It is interesting to remark that there are (perl) scripts that continuously run latex. See http://magic.aladdin.cs.cmu.edu/2007/11/06/continuous-latex- compilation-using-latexmk/ It is convenient to take a look at the short document “An essential guide to LATEX2e usage” about bad habits. ftp://ftp.tex.ac.uk/tex-archive/info/l2tabu/english/l2tabuen.pdf

Félix Bou (IIIA - CSIC) Computer Guidance in Logical Research 17th October 2008, Barcelona 2 / 5 A great auxiliary tool is BibTeX

This helps to citations inside a LATEXdocument. You have to write in the code something like \bibliographystyle{alpha} %% or plain, etc. \bibliography{logalg} where “logalg.bib” is for instance the name of the database. There are a lot of webpages where you can download citations in format. For example, Mathscinet, Zentralblatt, The ACM Digital Library, etc. There are great bibtex database managers like JabRef, and Bibdesk. They allow to synchronize your database with files inside your computer. This provides a really efficient way to find and organize your e- and e-books.

Félix Bou (IIIA - CSIC) Computer Guidance in Logical Research 17th October 2008, Barcelona 3 / 5 Automatic Theorem Provers (ATPs)

There are a lot of them. A helpful indexes are the ones given in http://www-formal.stanford.edu/clt/ARS/systems.html and http://ar.colognet.org/tools.php We will take a carefull look at the pair Prover9-Mace4 http://www.cs.unm.edu/ mccune/prover9/ I also want to mention SEM (system for enumerating finite models) http://www.cs.uiowa.edu/ hzhang/sem.html

Félix Bou (IIIA - CSIC) Computer Guidance in Logical Research 17th October 2008, Barcelona 4 / 5 The Universal Algebra Calculator UACalc

It is available at http://www.uacalc.org/ Among other things it can compute all congruences (of a finite algebra) and find the free algebra finitely generated (of the variety generated by a finite algebra).

Félix Bou (IIIA - CSIC) Computer Guidance in Logical Research 17th October 2008, Barcelona 5 / 5