Keywords: Interactive Proof
2017
[49] Types, Tableaus and Gödel's God in Isabelle/HOL (David Fuenmayor, Christoph Benzmüller), In Archive of Formal Proofs, 2017. (This publication is formally verified with Isabelle/HOL) [bibtex] [pdf]
[48] Computer-Assisted Analysis of the Anderson-Hájek Controversy (Christoph Benzmüller, Leon Weber, Bruno Woltzenlogel Paleo), In Logica Universalis, volume 11, number 1, pp. 139-151, 2017. [bibtex] [pdf] [doi]
[47] The Virtues of Automated Theorem Proving in Metaphysics --- A Case Study: E. J. Lowe's Modal Ontological Argument (David Fuenmayor, Christoph Benzmüller, Alexander Steen, Max Wisniewski), In Handbook of the 2nd World Congress on Logic and Religion, Warsaw, Poland (Stanislaw Krajewski, Piotr Balcerowicz, eds.), pp. 3, 2017. [bibtex] [pdf]
2016
[46] Tutorial on Reasoning in Expressive Non-Classical Logics with Isabelle/HOL (Alexander Steen, Max Wisniewski, Christoph Benzmüller), In GCAI 2016, 2nd Global Conference on Artificial Intelligence (Christoph Benzüller, Raul Rojas, Geoff Sutcliffe, eds.), EasyChair, EPiC Series in Computing, volume 41, pp. 1-10, 2016. [bibtex] [pdf]
[45] An Object-Logic Explanation for the Inconsistency in Gödel's Ontological Theory (Extended Abstract, Sister Conferences) (Christoph Benzmüller, Bruno Woltzenlogel Paleo), In KI 2016: Advances in Artificial Intelligence, Proceedings (Malte Helmert, Franz Wotawa, eds.), Springer, LNCS, pp. 244-250, 2016. [bibtex] [pdf] [doi]
[44] The Inconsistency in Gödel's Ontological Argument: A Success Story for AI in Metaphysics (Christoph Benzmüller, Bruno Woltzenlogel Paleo), In IJCAI 2016 (Subbarao Kambhampati, ed.), AAAI Press, volume 1-3, pp. 936-942, 2016. (poster, proceedings-version) ((Acceptance rate $\leq 25\%$)) [bibtex] [pdf]
[43] Analysis of an Ontological Proof Proposed by Leibniz (Matthias Bentert, Christoph Benzmüller, David Streit, Bruno Woltzenlogel Paleo), Chapter in Death and Anti-Death, Volume 14: Four Decades after Michael Polanyi, Three Centuries after G.W. Leibniz (Charles Tandy, ed.), Ria University Press, 2016. (Preprint: http://christoph-benzmueller.de/papers/B16.pdf) [bibtex] [pdf] [doi]
[42] The Modal Collapse as a Collapse of the Modal Square of Opposition (Christoph Benzmüller, Bruno Woltzenlogel Paleo), Chapter in The Square of Opposition: A Cornerstone of Thought (Collection of papers related to the World Congress on the Square of Opposition IV, Vatican, 2014), http://www.springer.com/us/book/9783319450612 (Jean-Yves Béziau, Gianfranco Basti, eds.), Springer International Publishing Switzerland, Studies in Universal Logic, 2016. [bibtex] [pdf] [doi]
2015
[41] The Higher-Order Prover LEO-II (Christoph Benzmüller, Lawrence C. Paulson, Nik Sultana, Frank Theiß), In Journal of Automated Reasoning, volume 55, number 4, pp. 389-404, 2015. [bibtex] [pdf] [doi]
[40] Proofs and reconstructions (Nik Sultana, Christoph Benzmüller, Lawrence C. Paulson), In FroCoS 2015 (Carsten Lutz, Silvio Ranise, eds.), Springer, LNAI, volume 9322, pp. 256-271, 2015. [bibtex] [pdf] [doi]
[39] Systematic Verification of the Modal Logic Cube in Isabelle/HOL (Christoph Benzmüller, Maximilian Claus, Nik Sultana), In PxTP 2015 (Cezary Kaliszyk, Andrei Paskevich, eds.), EPTCS, volume 186, pp. 27-41, 2015. (slides) [bibtex] [pdf] [doi]
[38] Higher-Order Modal Logics: Automation and Applications (Christoph Benzmüller, Bruno Woltzenlogel Paleo), In Reasoning Web 2015 (Adrian Paschke, Wolfgang Faber, eds.), Springer, LNCS, number 9203, pp. 32-74, 2015. ((Invited paper)) [bibtex] [pdf] [doi]
[37] Interacting with Modal Logics in the Coq Proof Assistant (Christoph Benzmüller, Bruno Woltzenlogel Paleo), In Computer Science - Theory and Applications - 10th International Computer Science Symposium in Russia, CSR 2015, Listvyanka, Russia, July 13-17, 2015, Proceedings (Lev D. Beklemishev, Daniil V. Musatov, eds.), Springer, LNCS, volume 9139, pp. 398--411, 2015. [bibtex] [pdf] [doi]
[36] Gödel's Ontological Argument Revisited -- Findings from a Computer-supported Analysis (invited) (Christoph Benzmüller), In Handbook of the 1st World Congress on Logic and Religion, João Pessoa, Brazil (Ricardo Souza Silvestre, Jean-Yves Béziau, eds.), pp. 13, 2015. ((Invited abstract)) [bibtex] [pdf]
[35] Computer-Assisted Analysis of the Anderson-Hájek Ontological Controversy (Christoph Benzmüller, Leon Weber, Bruno Woltzenlogel Paleo), In Handbook of the 1st World Congress on Logic and Religion, Joao Pessoa, Brasil (Ricardo Souza Silvestre, Jean-Yves Béziau, eds.), pp. 53-54, 2015. ((superseded by 2016 article in Logica Universalis)) [bibtex] [pdf]
2014
[34]Modal Logic in Coq and Scott's Version of Gödel's Proof of God's Existence (Rough Diamond Proof Pearl) (Christoph Benzmüller, Bruno Woltzenlogel Paleo), 2014. ((Non-reviewed, superseded by CSR-2015 paper)) [bibtex]
[33] Automating Gödel's Ontological Proof of God's Existence with Higher-order Automated Theorem Provers (Christoph Benzmüller, Bruno Woltzenlogel Paleo), In ECAI 2014 (Torsten Schaub, Gerhard Friedrich, Barry O'Sullivan, eds.), IOS Press, Frontiers in Artificial Intelligence and Applications, volume 263, pp. 93 -- 98, 2014. (slides) ((Acceptance rate $\leq 28\%$)) [bibtex] [pdf] [doi]
[32] Gödel's Proof of God's Existence (Christoph Benzmüller, Bruno Woltzenlogel Paleo), In Handbook of the World Congress on the Square of Opposition IV (Jean-Yves Beziau, Katarzyna Gan-Krzywoszynska, eds.), pp. 22-23, 2014. ((superseded by ECAI-2014 paper)) [bibtex] [pdf]
2013
[31] Gödel's God on the Computer (Christoph Benzmüller, Bruno Woltzenlogel Paleo), In Proceedings of the 10th International Workshop on the Implementation of Logics (S. Schulz, G. Sutcliffe, B. Konev, eds.), 2013. (event-website) ((Invited paper)) [bibtex] [pdf]
[30] Formalization, Mechanization and Automation of Gödel's Proof of God's Existence (Christoph Benzmüller, Bruno Woltzenlogel Paleo), 2013. (complete-formalisation) ((not reviewed, superseded by ECAI-2014 paper)) [bibtex] [pdf]
[29]Automated Verification and Reconstruction of Gödel's Proof of God's Existence (Bruno Woltzenlogel Paleo, Christoph Benzmüller), In OCG Journal, 2013. ((Invited article)) [bibtex]
[28] Gödel's God in Isabelle/HOL (Christoph Benzmüller, Bruno Woltzenlogel Paleo), In Archive of Formal Proofs, 2013. (This publication is formally verified with Isabelle/HOL) [bibtex] [pdf]
2010
[27] OMEGA: Resource-Adaptive Processes in an Automated Reasoning Systems (Serge Autexier, Christoph Benzmüller, Dominik Dietrich, Jörg Siekmann), Chapter in Resource-Adaptive Cognitive Processes (Matthew W. Crocker, Jörg Siekmann, eds.), Springer, Cognitive Technologies, pp. 389-423, 2010. ((Final project report, DFG SFB 378)) [bibtex] [pdf] [doi]
2008
[26] OMEGA: Agent-oriented Proof Planning (Jörg Siekmann, Serge Autexier, Christoph Benzmüller), pp. 1-19, 2008. (Project report in the Collaborative Research Centre SFB 378 on Resource-adaptive Cognitive Processes) [bibtex] [pdf]
[25] Organisation, Transformation, and Propagation of Mathematical Knowledge in Omega (Serge Autexier, Christoph Benzmüller, Dominik Dietrich, Marc Wagner), In Mathematics in Computer Science, volume 2, number 2, pp. 253-277, 2008. [bibtex] [pdf] [doi]
[24] Combined Reasoning by Automated Cooperation (Christoph Benzmüller, Volker Sorge, Mateja Jamnik, Manfred Kerber), In Journal of Applied Logic, volume 6, number 3, pp. 318-342, 2008. [bibtex] [pdf] [doi]
2007
[23] PLATO: A Mediator between Text-Editors and Proof Assistance Systems (Marc Wagner, Serge Autexier, Christoph Benzmüller), In Electronic Notes in Theoretical Computer Science, volume 174, number 2, pp. 87-107, 2007. [bibtex] [pdf] [doi]
[22] The curious inference of Boolos in MIZAR and OMEGA (Christoph Benzmüller, Chad Brown), Chapter in From Insight to Proof -- Festschrift in Honour of Andrzej Trybulec (Roman Matuszewski, Anna Zalewska, eds.), The University of Bialystok, Polen, Studies in Logic, Grammar, and Rhetoric, volume 10(23), pp. 299-388, 2007. [bibtex] [pdf]
2006
[21] Editorial: Towards Computer Aided Mathematics (Christoph Benzmüller), In Journal of Applied Logic, volume 4, number 4, pp. 359-365, 2006. [bibtex] [pdf] [doi]
[20] Computer Supported Mathematics with OMEGA (Jörg Siekmann, Christoph Benzmüller, Serge Autexier), In Journal of Applied Logic, volume 4, number 4, pp. 533-559, 2006. [bibtex] [pdf] [doi]
[19] OMEGA (Christoph Benzmüller, Armin Fiedler, Andreas Meier, Martin Pollet, Jörg Siekmann), Chapter in The Seventeen Provers of the World (Freek Wiedijk, ed.), Springer, LNCS, number 3600, pp. 127-141, 2006. [bibtex] [pdf] [doi]
2004
[18] OMEGA: Agent-oriented Proof Planning (Jörg Siekmann, Christoph Benzmüller, Serge Autexier), pp. 1-26, 2004. (Project proposal in the Collaborative Research Centre SFB 378 on Resource-adaptive Cognitive Processes) [bibtex] [pdf]
[17] OMEGA: Resource-adaptive Proof Planning (Jörg Siekmann, Christoph Benzmüller, Erica Melis), pp. 1-22, 2004. (Project report in the Collaborative Research Centre SFB 378 on Resource-adaptive Cognitive Processes) [bibtex] [pdf]
[16] OMEGA: Computer Supported Mathematics (Jörg Siekmann, Christoph Benzmüller), In KI 2004: Advances in Artificial Intelligence, 27th Annual German Conference on AI, KI 2004, Ulm, Germany, September 20-24, 2004, Proceedings (Susanne Biundo, Thom W. Frühwirth, Günther Palm, eds.), LNCS, number 3228, pp. 3-28, 2004. [bibtex] [pdf] [doi]
[15] Bridging Theorem Proving and Mathematical Knowledge Retrieval (Christoph Benzmüller, Andreas Meier, Volker Sorge), Chapter in Mechanizing Mathematical Reasoning: Essays in Honor of Jörg Siekmann on the Occasion of His 60th Birthday (Dieter Hutter, Werner Stephan, eds.), Springer, LNCS, volume 2605, pp. 277-296, 2004. [bibtex] [pdf] [doi]
2003
[14] OMEGA --- From Proof Planning towards Mathematical Knowledge Management (Serge Autexier, Christoph Benzmüller), In Mathematical Knowledge Management Symposium, 2003. (slides) [bibtex] [pdf]
[13] Proof Development in OMEGA: The Irrationality of Square Root of 2 (Jörg Siekmann, Christoph Benzmüller, Armin Fiedler, Andreas Meier, Immanuel Normann, Martin Pollet), Chapter in Thirty Five Years of Automating Mathematics (Fairouz Kamareddine, ed.), Kluwer Academic Publishers, Applied Logic series (28), pp. 271-314, 2003. [bibtex] [pdf] [doi]
2002
[12] Irrationality of square root of 2 -- A case study in OMEGA (Christoph Benzmüller, Armin Fiedler, Andreas Meier, Martin Pollet), Technical report, Saarland University, SEKI Publications (ISSN 1437-4447), number SR-02-03, pp. 1-103, 2002. [bibtex] [pdf]
[11] Proof Development with OMEGA: Sqrt(2) is irrational (Jörg Siekmann, Christoph Benzmüller, Armin Fiedler, Andreas Meier, Martin Pollet), In Logic for Programming, Artificial Intelligence, and Reasoning, 9th International Conference, LPAR 2002 (Matthias Baaz, Andrei Voronkov, eds.), Springer, LNCS, number 2514, pp. 367-387, 2002. (slides) [bibtex] [pdf]
[10] Proof Development with OMEGA (Jörg Siekmann, Christoph Benzmüller, Vladimir Brezhnev, Lassaad Cheikhrouhou, Armin Fiedler, Andreas Franke, Helmut Horacek, Michael Kohlhase, Andreas Meier, Erica Melis, Markus Moschner, Immanuel Normann, Martin Pollet, Volker Sorge, Carsten Ullrich, Claus-Peter Wirth, Jürgen Zimmer), In Proceedings of the 18th International Conference on Automated Deduction (CADE-18) (Andrei Voronkov, ed.), Springer, LNCS, number 2392, pp. 144-149, 2002. (slides) [bibtex] [pdf] [doi]
2001
[9] OMEGA: Ressourcenadaptive Beweisplanung (Jörg Siekmann, Christoph Benzmüller, Erica Melis), pp. 1-30, 2001. (Project proposal in the Collaborative Research Centre SFB 378 on Resource-adaptive Cognitive Processes) [bibtex] [pdf]
[8] OANTS -- Combining Interactive and Automated Theorem Proving (Christoph Benzmüller, Volker Sorge), In Symbolic Computation and Automated Reasoning (Manfred Kerber, Michael Kohlhase, eds.), A.K.Peters, pp. 81-97, 2001. (slides) [bibtex] [pdf]
2000
[7] Resource Guided Concurrent Deduction (Christoph Benzmüller, Mateja Jamnik, Manfred Kerber, Volker Sorge), In Symbolic Computation and Automated Reasoning (Manfred Kerber, Michael Kohlhase, eds.), A.K.Peters, pp. 245-246, 2000. [bibtex] [pdf]
1999
[6] An Interactive Proof Development Environment + Anticipation = A Mathematical Assistant? (Jörg Siekmann, Helmut Horacek, Michael Kohlhase, Christoph Benzmüller, Lassaad Cheikhrouhou, Detlef Fehrer, Armin Fiedler, Stephan Hess, Karsten Konrad, Andreas Meier, Erica Melis, Volker Sorge), In International Journal of Computing Anticipatory Systems (CASYS), volume 3, pp. 101-110, 1999. [bibtex] [pdf]
[5] LOUI: Lovely OMEGA User Interface (Jörg Siekmann, Stephan Hess, Christoph Benzmüller, Lassaad Cheikhrouhou, Armin Fiedler, Helmut Horacek, Michael Kohlhase, Karsten Konrad, Andreas Meier, Erica Melis, Martin Pollet, Volker Sorge), In Formal Aspects of Computing, volume 11, number 3, pp. 326-342, 1999. [bibtex] [pdf] [doi]
[4] Critical Agents Supporting Interactive Theorem Proving (Christoph Benzmüller, Volker Sorge), In Progress in Artificial Intelligence, 9th Portuguese Conference on Artificial Intelligence, EPIA '99, Évora, Portugal, September 21-24, 1999, Proceedings (Pedro Borahona, Jose J. Alferes, eds.), Springer, LNCS, number 1695, pp. 208-221, 1999. (slides) [bibtex] [pdf] [doi]
1998
[3] Integrating TPS with OMEGA (Christoph Benzmüller, Volker Sorge), In Theorem Proving in Higher Order Logics: Emerging Trends (Jim Grundy, Malcolm Newey, eds.), Technical Report 98-08, Department of Computer Science and Computer Science Lab, The Australian National University, pp. 1-18, 1998. [bibtex] [pdf]
[2] A Blackboard Architecture for Guiding Interactive Proofs (Christoph Benzmüller, Volker Sorge), In Artificial Intelligence: Methodology, Systems, and Applications, 8th International Conference, AIMSA '98, Sozopol, Bulgaria, September 21-13, 1998, Proceedings (Fausto Giunchiglia, ed.), Springer, LNCS, number 1480, pp. 102-114, 1998. [bibtex] [pdf] [doi]
1997
[1] OMEGA: Towards a mathematical assistant (Christoph Benzmüller, Lassaad Cheikhrouhou, Detlef Fehrer, Armin Fiedler, Xiaorong Huang, Manfred Kerber, Michael Kohlhase, Karsten Konrad, Erica Melis, Andreas Meier, Wolf Schaarschmidt, Jörg Siekmann, Volker Sorge), In Automated Deduction - CADE-14, 14th International Conference on Automated Deduction, Townsville, North Queensland, Australia, July 13-17, 1997, Proceedings (William McCune, ed.), Springer, LNCS, number 1249, pp. 252-255, 1997. [bibtex] [pdf] [doi]
Powered by bibtexbrowser