论文信息 - A Brief Overview of Mizar

A Brief Overview of Mizar

Mizar is the name of a formal language derived from informal mathematics and computer software that enables proof-checking of texts written in that language. The system has been actively developed since 1970s, growing into a popular proof assistant accompanied with a huge repository of formalized mathematical knowledge. In this short overview, we give an outline of the key features of the Mizar language, the ideas and theory behind the system, its main applications, and current development.

Adam Naumowicz | Artur Kornilowicz

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

[2] Christoph Lüth,et al. A Framework for Interactive Proof , 2007, Calculemus/MKM.

[3] Maribel Fernández,et al. Curry-Style Types for Nominal Terms , 2006, TYPES.

[4] Ewa Borak,et al. Mizar Course in Logic and Set Theory , 2007, Calculemus/MKM.

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

[6] F. B. Fitch. Symbolic Logic, An Introduction , 1953 .

[7] Adam Naumowicz,et al. Improving Mizar Texts with Properties and Requirements , 2004, MKM.

[8] Katuzi Ono. On a practical way of describing formal deductions , 1962 .

[9] Piotr Rudnicki,et al. Information Retrieval in MML , 2003, MKM.

[10] David Aspinall,et al. Formalising Java's Data Race Free Guarantee , 2007, TPHOLs.

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

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

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

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

[15] Don Syme,et al. Three Tactic Theorem Proving , 1999, TPHOLs.

[16] Josef Urban,et al. XML-izing Mizar: Making Semantic Processing and Presentation of MML Easy , 2005, MKM.