Tarski's geometry modelled in Mizar computerized proof assistant
暂无分享,去创建一个
[1] Adam Grabowski,et al. On the computer certification of fuzzy numbers , 2013, 2013 Federated Conference on Computer Science and Information Systems.
[2] Freek Wiedijk,et al. A Synthesis of the Procedural and Declarative Styles of Interactive Theorem Proving , 2012, Log. Methods Comput. Sci..
[3] Richard Vesley,et al. A Common Axiom Set for Classical and Intuitionistic Plane Geometry , 1998, Ann. Pure Appl. Log..
[4] Timothy James McKenzie Makarios,et al. A Mechanical Verification of the Independence of Tarski's Euclidean Axiom , 2012 .
[5] Axioms of Incidence , 1990 .
[6] Josef Urban,et al. Automated reasoning and presentation support for formalizing mathematics in Mizar , 2010, AISC'10/MKM'10/Calculemus'10.
[7] Adam Grabowski,et al. Mechanizing Complemented Lattices Within Mizar Type System , 2015, Journal of Automated Reasoning.
[8] Tomasz Zurek. Modelling of a fortiori reasoning , 2011, ICAIL.
[9] Jeremy Avigad,et al. A FORMAL SYSTEM FOR EUCLID’S ELEMENTS , 2008, The Review of Symbolic Logic.
[10] E. L.. The Foundations of Geometry , 1891, Nature.
[11] Adam Naumowicz,et al. Mizar in a Nutshell , 2010, J. Formaliz. Reason..
[12] A. Tarski,et al. Metamathematische Methoden in der Geometrie , 1983 .
[13] Adam Grabowski,et al. Towards automatically categorizing mathematical knowledge , 2012, 2012 Federated Conference on Computer Science and Information Systems (FedCSIS).
[14] Boris A. Shminke. Routh’s, Menelaus’ and Generalized Ceva’s Theorems , 2012, Formaliz. Math..
[15] C. O. Oakley,et al. The Morley Trisector Theorem , 1978 .
[16] Grant Swicegood. The Morley Trisector Theorem , 2004, The Mathematics Enthusiast.
[17] Yuichi Futa,et al. Operations of Points on Elliptic Curve in Projective Coordinates , 2012, Formaliz. Math..
[18] Adam Grabowski,et al. Revisions as an Essential Tool to Maintain Mathematical Repositories , 2007, Calculemus/MKM.
[19] Piotr Rudnicki,et al. On the Integrity of a Repository of Formalized Mathematics , 2003, MKM.
[20] Adam Grabowski,et al. Efficient Rough Set Theory Merging , 2014, CS&P.
[21] Artur Kornilowicz. On Rewriting Rules in Mizar , 2012, Journal of Automated Reasoning.
[22] Yasunari Shidama,et al. Documentation Generator Focusing on Symbols for the HTML-ized Mizar Library , 2015, CICM.
[23] Michael Beeson. Mixing Computations and Proofs , 2016, J. Formaliz. Reason..
[24] Karol Pak. Methods of Lemma Extraction in Natural Deduction Proofs , 2012, Journal of Automated Reasoning.
[25] Adam Grabowski,et al. Tarski Geometry Axioms – Part II , 2016, Formaliz. Math..
[26] Richard J. Boulton,et al. Theorem Proving in Higher Order Logics , 2003, Lecture Notes in Computer Science.
[27] Freek Wiedijk,et al. Formal proof -- getting started , 2008 .
[28] Adam Grabowski,et al. On the Computer-Assisted Reasoning about Rough Sets , 2004, MSRAS.
[29] Jacques D. Fleuriot,et al. Formalizing Hilbert's Grundlagen in Isabelle/Isar , 2003, TPHOLs.
[30] Adam Grabowski,et al. Automated Discovery of Properties of Rough Sets , 2013, Fundam. Informaticae.
[31] Artur Korni,et al. Jordan Curve Theorem , 2007 .
[32] L. W. Szczerba. Tarski and Geometry , 1986, J. Symb. Log..
[33] W. Marsden. I and J , 2012 .
[34] Adam Naumowicz,et al. A Brief Overview of Mizar , 2009, TPHOLs.
[35] Artur Kornilowicz. Definitional Expansions in Mizar , 2015, Journal of Automated Reasoning.
[36] R. Matuszewski,et al. M IZAR : the first 30 years , 2005 .
[37] Larry Wos,et al. OTTER Proofs in Tarskian Geometry , 2014, IJCAR.
[38] Art Quaife,et al. Automated development of Tarski's geometry , 1989, Journal of Automated Reasoning.
[39] Julien Narboux,et al. Mechanical Theorem Proving in Tarski's Geometry , 2006, Automated Deduction in Geometry.
[40] Adam Grabowski,et al. Equality in computer proof-assistants , 2015, 2015 Federated Conference on Computer Science and Information Systems (FedCSIS).