Four Decades of Mizar

This special issue is dedicated to works related to Mizar, the theorem proving project started by Andrzej Trybulec in the 1970s, and other automated proof checking systems used for formalizing mathematics.

[1]  A. Trybulec.  Tarski Grothendieck Set Theory , 1990 .

[2]  Adam Naumowicz,et al.  Interfacing external CA systems for Gröbner bases computation in Mizar proof checking , 2010, Int. J. Comput. Math..

[3]  Freek Wiedijk,et al.  A Synthesis of the Procedural and Declarative Styles of Interactive Theorem Proving , 2012, Log. Methods Comput. Sci..

[4]  Freek Wiedijk,et al.  Formal Proof Sketches , 2003, TYPES.

[5]  Piotr Rudnicki,et al.  On Equivalents of Well-Foundedness , 1999, Journal of Automated Reasoning.

[6]  Adam Grabowski,et al.  Towards automatically categorizing mathematical knowledge , 2012, 2012 Federated Conference on Computer Science and Information Systems (FedCSIS).

[7]  Josef Urban,et al.  ATP and Presentation Service for Mizar Formalizations , 2011, Journal of Automated Reasoning.

[8]  Artur Korni,et al.  Jordan Curve Theorem , 2007 .

[9]  Jesse Alama,et al.  Large Formal Wikis: Issues and Solutions , 2011, Calculemus/MKM.

[10]  Adam Naumowicz,et al.  A Brief Overview of Mizar , 2009, TPHOLs.

[11]  Alfred Tarski.  On well-ordered subsets of any set , 1939 .

[12]  Andrzej Trybulec,et al.  Computer Aider Reasoning , 1985, Logic of Programs.

[13]  F. Wiedijk.  The Seventeen Provers of the World , 2006 .

[14]  Freek Wiedijk,et al.  Mizar Light for HOL Light , 2001, TPHOLs.

[15]  Piotr Rudnicki,et al.  On Equivalents of Well-foundedness - An experiment in Mizar , 1999 .

[16]  R. Matuszewski,et al.  IZAR : the first 30 years , 2005 .

[17]  Andrew Adams,et al.  Theorem Proving in Higher Order Logics , 2001, Lecture Notes in Computer Science.

[18]  Adam Grabowski,et al.  Revisions as an Essential Tool to Maintain Mathematical Repositories , 2007, Calculemus/MKM.

[19]  Artur Kornilowicz.  Flexary connectives in Mizar , 2015, Comput. Lang. Syst. Struct..

[20]  Pierre Corbineau,et al.  A Declarative Language for the Coq Proof Assistant , 2007, TYPES.

[21]  Freek Wiedijk,et al.  A Comparison of Mizar and Isar , 2004, Journal of Automated Reasoning.

[22]  Adam Naumowicz,et al.  Formal Mathematics for Mathematicians , 2012, Journal of Automated Reasoning.

[23]  Piotr Rudnicki,et al.  Commutative Algebra in the Mizar System , 2001, J. Symb. Comput..

[24]  Adam Grabowski,et al.  Translating Mathematical Vernacular into Knowledge Repositories , 2005, MKM.

[25]  Artur Kornilowicz.  On Rewriting Rules in Mizar , 2012, Journal of Automated Reasoning.

[26]  Don Syme.  DECLARE: A Prototype Declarative Proof System for Higher Order Logic , 1997 .

[27]  Andrzej Trybulec.  Some Features of the Mizar Language , 1993 .

[28]  Adam Naumowicz,et al.  Mizar in a Nutshell , 2010, J. Formaliz. Reason..

[29]  Piotr Rudnicki,et al.  Using Mizar in computer aided instruction of mathematics , 1993 .

[30]  Piotr Rudnicki,et al.  On the Integrity of a Repository of Formalized Mathematics , 2003, MKM.

[31]  Piotr Rudnicki,et al.  A Compendium of Continuous Lattices in MIZAR , 2003, Journal of Automated Reasoning.

[32]  Adam Grabowski,et al.  Automated Discovery of Properties of Rough Sets , 2013, Fundam. Informaticae.

[33]  John Harrison,et al.  A Mizar Mode for HOL , 1996, TPHOLs.

[34]  Josef Urban,et al.  The Mizar Mathematical Library in OMDoc: Translation and Applications , 2013, Journal of Automated Reasoning.

[35]  Karol Pak.  Methods of Lemma Extraction in Natural Deduction Proofs , 2012, Journal of Automated Reasoning.