Using Formal Reference to Enhance Authority and Integrity in Online Mathematical Texts

The amount and variety of digital information readily available to the public has become one of the defining features of the intellectual and scientific landscape. Digital information is bringing to the forefront new questions for computing and information science, e.g., how should this information be organized, searched, and evaluated. Universities, publishers, government, and other esteemed professionals bring unique and essential value to this enterprise that goes beyond their support of research – namely, intellectual authority. The imprimatur given to the information resources they own or sponsor is essential in helping individuals assess the validity of what they encounter on the Web.

[1]  Yves Bertot,et al.  User Guide to the CTCOQ Proof Environment , 1997 .

[2]  Volker Sorge,et al.  Ω-ANTS: a blackboard architecture for the integration of reasoning techniques into proof planning , 2001 .

[3]  Lawrence S. Kroll Mathematica--A System for Doing Mathematics by Computer. , 1989 .

[4]  Christine Paulin-Mohring,et al.  The coq proof assistant reference manual , 2000 .

[5]  Michael Kohlhase,et al.  OMDOC: Towards an Internet Standard for the Administration, Distribution, and Teaching of Mathematical Knowledge , 2000, AISC.

[6]  Mark Bickford,et al.  FDL: A Prototype Formal Digital Library , 2004 .

[7]  John Harrison,et al.  HOL Light: A Tutorial Introduction , 1996, FMCAD.

[8]  F. Attneave How do you know , 1974 .

[9]  Robert L. Constable,et al.  Enabling Large Scale Coherency Among Mathematical Texts , 2006 .

[10]  Stuart Frazier Allen Abstract identifiers, intertextual reference and a computational basis for recordkeeping , 2004, First Monday.

[11]  A. J. Bernheim Brush,et al.  Assessing differential usage of usenet social accounting meta-data , 2005, CHI.

[12]  Xin Yu,et al.  MetaPRL - A Modular Logical Environment , 2003, TPHOLs.

[13]  Natarajan Shankar,et al.  PVS: A Prototype Verification System , 1992, CADE.

[14]  Hugo Herbelin,et al.  The Coq proof assistant : reference manual, version 6.1 , 1997 .

[15]  Michael Kohlhase OMDoc: an infrastructure for OpenMath content dictionary information , 2000, SIGS.

[16]  J. Strother Moore,et al.  An Industrial Strength Theorem Prover for a Logic Based on Common Lisp , 1997, IEEE Trans. Software Eng..

[17]  Piotr Rudnicki,et al.  An Overview of the MIZAR Project , 1992 .

[18]  Volker Sorge,et al.  ΩMEGA : Towards a mathematical assistant , 1997 .

[19]  Keith O. Geddes,et al.  Algorithms for computer algebra , 1992 .

[20]  Volker Sorge,et al.  Omega: Towards a Mathematical Assistant , 1997, CADE.