Keywords: Automated Reasoning
2017
[98] Capability Discovery for Automated Reasoning Systems (Alexander Steen, Max Wisniewski, Hans-Jörg Schurr, Christoph Benzmüller), In IWIL@LPAR 2017 Workshop and LPAR-21 Short Presentations, Maun, Botswana, May 7-12, 2017 (Thomas Eiter, David Sands, Geoff Sutcliffe, Andrei Voronkov, eds.), EasyChair, Kalpa Publications in Computing, volume 1, 2017. [bibtex] [pdf]
[97] Going Polymorphic - TH1 Reasoning for Leo-III (Alexander Steen, Max Wisniewski, Christoph Benzmüller), In IWIL@LPAR 2017 Workshop and LPAR-21 Short < Presentations, Maun, Botswana, May 7-12, 2017 (Thomas Eiter, David Sands, Geoff Sutcliffe, Andrei Voronkov, eds.), EasyChair, Kalpa Publications in Computing, volume 1, 2017. [bibtex] [pdf]
[96] Experiments in Computational Metaphysics: Gödel's Proof of God's Existence (Christoph Benzmüller, Bruno Woltzenlogel Paleo), In Savijnanam: scientific exploration for a spiritual paradigm. Journal of the Bhaktivedanta Institute, volume 9, pp. 43-57, 2017. [bibtex] [pdf]
[95] 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]
[94] 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]
[93] Automating Emendations of the Ontological Argument in Intensional Higher-Order Modal Logic (David Fuenmayor, Christoph Benzmüller), In KI 2017: Advances in Artificial Intelligence 40th Annual German Conference on AI, Springer, LNAI, 2017. [bibtex] [pdf]
[92] Leo-III Version 1.1 (System description) (Christoph Benzmüller, Alexander Steen, Max Wisniewski), In IWIL@LPAR 2017 Workshop and LPAR-21 Short Presentations, Maun, Botswana, May 7-12, 2017 (Thomas Eiter, David Sands, Geoff Sutcliffe, Andrei Voronkov, eds.), EasyChair, Kalpa Publications in Computing, volume 1, 2017. [bibtex] [pdf]
[91] 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]
[90] Theorem Provers for Every Normal Modal Logic (Tobias Gleißner, Alexander Steen, Christoph Benzmüller), In LPAR-21. 21st International Conference on Logic for Programming, Artificial Intelligence and Reasoning (Thomas Eiter, David Sands, eds.), EasyChair, EPiC Series in Computing, volume 46, pp. 14-30, 2017. [bibtex] [pdf]
2016
[89] Axiomatizing Category Theory in Free Logic (Christoph Benzmüller, Dana S. Scott), In arXiv, http://arxiv.org/abs/1609.01493, 2016. [bibtex] [pdf]
[88] 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]
[87] 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]
[86] Automating Free Logic in Isabelle/HOL (Christoph Benzmüller, Dana Scott), In Mathematical Software -- ICMS 2016, 5th International Congress, Proceedings (G.-M. Greuel, T. Koch, P. Paule, A. Sommese, eds.), Springer, LNCS, volume 9725, pp. 43-50, 2016. [bibtex] [pdf] [doi]
[85] Agent-Based HOL Reasoning (Alexander Steen, Max Wisniewski, Christoph Benzmüller), In Mathematical Software -- ICMS 2016, 5th International Congress, Proceedings (G.-M. Greuel, T. Koch, P. Paule, A. Sommese, eds.), Springer, LNCS, volume 9725, pp. 75-81, 2016. [bibtex] [pdf] [doi]
[84] 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]
[83] Effective Normalization Techniques for HOL (Max Wisniewski, Alexander Steen, Kim Kern, Christoph Benzmüller), In Automated Reasoning --- 8th International Joint Conference, IJCAR 2016, Coimbra, Portugal, June 27 -- July 2, 2016, Proceedings (Nicola Olivetti, Ashish Tiwari, eds.), Springer, LNCS, volume 9706, pp. 362-370, 2016. [bibtex] [pdf] [doi]
[82] Is it Reasonable to Employ Agents in Theorem Proving? (Max Wisniewski, Christoph Benzmüller), In Proceedings of the 8th International Conference on Agents and Artificial Intelligence (ICAART 2016) -- Volume 1, pages 281-286 (Jan van den Heerik, Joaquim Filipe, eds.), SCITEPRESS -- Science and Technology Publications, Lda, volume 1, pp. 281-286, 2016. [bibtex] [pdf] [doi]
[81] 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]
[80] 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
[79] On Logic Embeddings and Gödel's God (Christoph Benzmüller, Bruno Woltzenlogel Paleo), In Recent Trends in Algebraic Development Techniques: 22nd International Workshop, WADT 2014, Sinaia, Romania, September 4-7, 2014, Revised Selected Papers (Mihai Codescu, Razvan Diaconescu, Ionut Tutu, eds.), Springer, LNCS, number 9563, pp. 3-6, 2015. ((Invited paper)) [bibtex] [pdf] [doi]
[78] HOL Provers for First-order Modal Logics --- Experiments (Christoph Benzmüller), In ARQNL 2014. Automated Reasoning in Quantified Non-Classical Logics (Christoph Benzmüller, Jens Otten, eds.), EasyChair, EPiC Series in Computing, volume 33, pp. 37-41, 2015. [bibtex] [pdf]
[77] 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]
[76] Experiments in Computational Metaphysics: Gödel's Proof of God's Existence (Christoph Benzmüller, Bruno Woltzenlogel Paleo), In Science & Spiritual Quest, Proceedings of the 9th All India Students' Conference, 30th October -- 1 November, 2015, IIT Kharagpur, India (Subhash C. Mishram, Ramgopal Uppaluri, Varun Agarwal, eds.), Bhaktivedanta Institute, Kolkata, www.binstitute.org, pp. 23-40, 2015. (slides) ((Invited paper)) [bibtex] [pdf]
[75] There Is No Best Beta-Normalization Strategy for Higher-Order Reasoners (Alexander Steen, Christoph Benzmüller), In Logic for Programming, Artificial Intelligence, and Reasoning (LPAR) (M. Davis, A. Fehnker, A. McIver, A. Voronkov, eds.), Springer, LNAI, volume 9450, pp. 329-339, 2015. [bibtex] [pdf] [doi]
[74] Invited Talk: On a (Quite) Universal Theorem Proving Approach and Its Application in Metaphysics (Christoph Benzmüller), In TABLEAUX 2015 (Hans De Nivelle, ed.), Springer, LNAI, volume 9323, pp. 213-220, 2015. ((Invited paper)) [bibtex] [pdf] [doi]
[73] Sweet SIXTEEN: Automation via Embedding into Classical Higher-Order Logic (Alexander Steen, Christoph Benzmüller), In 7th International Conference Non-Classical Logic -- Theory and Applications, Torun, Poland, 2015. [bibtex] [pdf]
[72] 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]
[71] 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]
[70] 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]
[69] LeoPARD - A Generic Platform for the Implementation of Higher-Order Reasoners (Max Wisniewski, Alexander Steen, Christoph Benzmüller), In Intelligent Computer Mathematics - International Conference, CICM 2015, Washington, DC, USA, July 13-17, 2015, Proceedings (Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, Volker Sorge, eds.), Springer, LNCS, volume 9150, pp. 325--330, 2015. [bibtex] [pdf] [doi]
[68] 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]
[67] 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]
[66] 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]
[65] Higher-Order Automated Theorem Provers (Christoph Benzmüller), Chapter in All about Proofs, Proof for All (David Delahaye, Bruno Woltzenlogel Paleo, eds.), College Publications, Mathematical Logic and Foundations, pp. 171-214, 2015. (publisher) [bibtex] [pdf]
2014
[64] The Leo-III Project (Max Wisniewski, Alexander Steen, Christoph Benzmüller), In Joint Automated Reasoning Workshop and Deduktionstreffen (Alexander Bolotov, Manfred Kerber, eds.), pp. 38, 2014. [bibtex] [pdf]
[63]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]
[62] 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]
[61] 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]
[60] Automation of Higher-Order Logic (Christoph Benzmüller, Dale Miller), Chapter in Handbook of the History of Logic, Volume 9 --- Computational Logic (Dov M. Gabbay, Jörg H. Siekmann, John Woods, eds.), North Holland, Elsevier, pp. 215-254, 2014. [bibtex] [pdf] [doi]
2013
[59] LEO-II Version 1.5 (Christoph Benzmüller, Nik Sultana), In PxTP 2013 (Jasmin Christian Blanchette, Josef Urban, eds.), EasyChair, EPiC Series in Computing, volume 14, pp. 2-10, 2013. [bibtex] [pdf]
[58] 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]
[57] Automated Consistency Checking of Expressive Ontologies --- Beware of the Wrong Interpretation of Success! (Christoph Benzmüller, Marco Ziener), In The 5th International Workshop on Acquisition, Representation and Reasoning with Contextualized Knowledge (ARCOE-LogIC 2013) (Michael Fink, Martin Homola, Alessandra Mileo, Ivan Jose Varzinczak, eds.), 2013. [bibtex] [pdf]
[56] Implementing Different Proof Calculi for First-order Modal Logics (Christoph Benzmüller, Jens Otten, Thomas Raths), In PAAR-2012 (Pascal Fontaine, Renate A. Schmidt, Stephan Schulz, eds.), EasyChair, EPiC Series in Computing, volume 21, pp. 12-18, 2013. [bibtex] [pdf]
[55] Understanding LEO-II's Proofs (Nik Sultana, Christoph Benzmüller), In IWIL 2012 (Konstantin Korovin, Stephan Schulz, Eugenia Ternovska, eds.), EasyChair, EPiC Series in Computing, volume 22, pp. 33-52, 2013. [bibtex] [pdf]
[54] 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]
[53]CADE 2015 in Berlin: A Proposal (Christoph Benzmüller), 2013. [bibtex]
[52]Automated Verification and Reconstruction of Gödel's Proof of God's Existence (Bruno Woltzenlogel Paleo, Christoph Benzmüller), In OCG Journal, 2013. ((Invited article)) [bibtex]
[51] 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]
[50] Sigma: An Integrated Development Environment for Formal Ontology (Adam Pease, Christoph Benzmüller), In AI Communications (Special Issue on Intelligent Engineering Techniques for Knowledge Bases), volume 26, number 1, pp. 79-97, 2013. [bibtex] [pdf] [doi]
[49] HOL based First-order Modal Logic Provers (Christoph Benzmüller, Thomas Raths), In Proceedings of the 19th International Conference on Logic for Programming, Artificial Intelligence and Reasoning (LPAR) (Kenneth L. McMillan, Aart Middeldorp, Andrei Voronkov, eds.), Springer, LNCS, volume 8312, pp. 127-136, 2013. [bibtex] [pdf] [doi]
2012
[48] FMLtoHOL (version 1.0): Automating First-order Modal Logics with LEO-II and Friends (Christoph Benzmüller, Thomas Raths), Technical report, Freie Universität Berlin, Germany, 2012. (arXiv:1207.6685) [bibtex] [pdf]
[47] Higher-order Aspects and Context in SUMO (Christoph Benzmüller, Adam Pease), In Journal of Web Semantics (Special Issue on Reasoning with context in the Semantic Web), volume 12-13, pp. 104-117, 2012. [bibtex] [pdf] [doi]
[46] Embedding and Automating Conditional Logics in Classical Higher-Order Logic (Christoph Benzmüller, Dov Gabbay, Valerio Genovese, Daniele Rispoli), In Annals of Mathematics and Artificial Intelligence, volume 66, number 1-4, pp. 257-271, 2012. [bibtex] [pdf] [doi]
[45] Implementing and Evaluating Provers for First-order Modal Logics (Christoph Benzmüller, Jens Otten, Thomas Raths), In ECAI 2012 (Luc De Raedt, Christian Bessiere, Didier Dubois, Patrick Doherty, Paolo Frasconi, Fredrik Heintz, Peter Lucas, eds.), IOS Press, Frontiers in Artificial Intelligence and Applications, volume 242, pp. 163-168, 2012. (slides) [bibtex] [pdf] [doi]
2011
[44] Combining and Automating Classical and Non-Classical Logics in Classical Higher-Order Logic (Christoph Benzmüller), In Annals of Mathematics and Artificial Intelligence (Special issue Computational logics in Multi-agent Systems (CLIMA XI)), volume 62, number 1-2, pp. 103-128, 2011. (slides) [bibtex] [pdf] [doi]
[43] Quantified Conditional Logics are Fragments of HOL (Christoph Benzmüller, Valerio Genovese), In The International Conference on Non-classical Modal and Predicate Logics (NCMPL), 2011. ([slides], [movie]) ((The conference had no published proceedings; the paper is available as arXiv:1204.5920v1; superseded by IJCAI-2013 paper)) [bibtex] [pdf]
[42] Knowledge Engineering Tools (Christoph Benzmüller, Adam Pease), Chapter in Ontology: A Practical Guide (Adam Pease, ed.), Articulate Software Press, pp. 171-214, 2011. ((This chapter has some essential overlap with the 2012 journal article with A. Pease titled Higher-Order Aspects and Context in SUMO; non-reviewed here)) [bibtex] [pdf]
2010
[41] Reasoning with Embedded Formulas and Modalities in SUMO (Christoph Benzmüller, Adam Pease), In The ECAI-10 Workshop on Automated Reasoning about Context and Ontology Evolution (ARCOE-10) (A. Bundy, J. Lehmann, G. Qi, I. J. Varzinczak, eds.), 2010. (slides) ((Superseded by 2012 article in Journal of Web Semantics)) [bibtex] [pdf]
[40] Automated Reasoning in Higher-Order Logic using the TPTP THF Infrastructure (Geoff Sutcliffe, Christoph Benzmüller), In Journal of Formalized Reasoning, volume 3, number 1, pp. 1-27, 2010. [bibtex] [pdf]
[39] Verifying the Modal Logic Cube is an Easy Task (for Higher-Order Automated Reasoners) (Christoph Benzmüller), Chapter in Verification, Induction, Termination Analysis - Festschrift for Christoph Walther on the Occasion of His 60th Birthday (Simon Siegler, Nathan Wasser, eds.), Springer, LNCS, volume 6463, pp. 117-128, 2010. ((Superseded by PxTP-2015 paper)) [bibtex] [pdf] [doi]
[38] 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]
2009
[37] A Note on LEO-II and the Basic Fragment of Simple Type Theory (Christoph Benzmüller), Technical report, AAR Newsletter No. 84, 2009. [bibtex] [pdf]
[36] Effective Higher-Order Automated Theorem Proving with integrated Descente Infinie and Presburger Arithmetic LEO-III (Christoph Benzmüller, Claus-Peter Wirth), 2009. [bibtex] [pdf]
[35] LEO-II im Ontologieschliessen -- Antrag auf ein Forschungsvorhaben an die DFG (Christoph Benzmüller), 2009. [bibtex] [pdf]
[34] Progress in the Development of Automated Theorem Proving for Higher-order Logic (Geoff Sutcliffe, Christoph Benzmüller, Chad Brown, Frank Theiss), In Automated Deduction - CADE-22, 22nd International Conference on Automated Deduction, Montreal, Canada, August 2-7, 2009. Proceedings (Renate Schmidt, ed.), Springer, LNCS, volume 5663, pp. 116-130, 2009. [bibtex] [pdf] [doi]
[33] Automating Access Control Logic in Simple Type Theory with LEO-II (Christoph Benzmüller), In Emerging Challenges for Security, Privacy and Trust, 24th IFIP TC 11 International Information Security Conference, SEC 2009, Pafos, Cyprus, May 18-20, 2009. Proceedings (Dimitris Gritzalis, Javier López, eds.), Springer, IFIP, volume 297, pp. 387-398, 2009. (slides) [bibtex] [pdf] [doi]
2008
[32] Automating Access Control Logics in Simple Type Theory with LEO-II (Christoph Benzmüller), SEKI Publications (ISSN 1437-4447), number SR-2008-01, 2008. (arXiv:0901.3574) [bibtex] [pdf]
[31] 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]
[30] LEO-II - A Cooperative Automatic Theorem Prover for Higher-Order Logic (System Description) (Christoph Benzmüller, Frank Theiss, Lawrence Paulson, Arnaud Fietzke), In Automated Reasoning, 4th International Joint Conference, IJCAR 2008, Sydney, Australia, August 12-15, 2008, Proceedings (Alessandro Armando, Peter Baumgartner, Gilles Dowek, eds.), Springer, LNCS, volume 5195, pp. 162-170, 2008. (slides) [bibtex] [pdf] [doi]
[29] THF0 -- The Core of the TPTP Language for Classical Higher-Order Logic (Christoph Benzmüller, Florian Rabe, Geoff Sutcliffe), In Automated Reasoning, 4th International Joint Conference, IJCAR 2008, Sydney, Australia, August 12-15, 2008, Proceedings (Alessandro Armando, Peter Baumgartner, Gilles Dowek, eds.), Springer, LNCS, volume 5195, pp. 491-506, 2008. [bibtex] [pdf] [doi]
2007
[28] Progress Report on LEO-II -- An Automatic Theorem Prover for Higher-Order Logic (Christoph Benzmüller, Lawrence Paulson, Frank Theiss, Arnaud Fietzke), In TPHOLs 2007 Emerging Trends Proceedings, Internal Report 364/07 at Department of Computer Science, pp. 33-48, 2007. (slides) [bibtex] [pdf]
[27] The LEO-II Project (Christoph Benzmüller, Lawrence Paulson, Frank Theiss, Arnaud Fietzke), In Proceedings of the Fourteenth Workshop on Automated Reasoning, Bridging the Gap between Theory and Practice, Imperial College, London, England, 2007. ((Mildly reviewed)) [bibtex] [pdf]
2006
[26] Term Indexing for the LEO-II Prover (Frank Theiss, Christoph Benzmüller), In IWIL-6 workshop at LPAR 2006: The 6th International Workshop on the Implementation of Logics, 2006. (slides) [bibtex] [pdf]
[25] Cumulative Habilitation Script (Christoph Benzmüller), Saarland University, Germany, pp. 1-357, 2006. [bibtex] [pdf]
[24] Editorial: Towards Computer Aided Mathematics (Christoph Benzmüller), In Journal of Applied Logic, volume 4, number 4, pp. 359-365, 2006. [bibtex] [pdf] [doi]
[23] 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]
[22] 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]
2005
[21] System Description: LEO -- A Resolution based Higher-Order Theorem Prover (Christoph Benzmüller), In Proceedings of the LPAR-05 Workshop: Empirically Successfull Automated Reasoning in Higher-Order Logic (ESHOL), pp. 25-44, 2005. (arXiv:cs/0601042) [bibtex] [pdf]
[20] Proceedings of the LPAR-05 Workshop: Empirically Successfull Automated Reasoning in Higher-Order Logic (ESHOL), (Christoph Benzmüller, John Harrison, Carsten Schürmann, eds.), 2005. (arXiv:cs/0601042) [bibtex] [pdf]
[19] A Structured Set of Higher-Order Problems (Christoph Benzmüller, Chad Brown), In Theorem Proving in Higher Order Logics, 18th International Conference, TPHOLs 2005, Oxford, UK, August 22-25, 2005, Proceedings (Joe Hurd, Thomas F. Melham, eds.), Springer, LNCS, number 3603, pp. 66-81, 2005. [bibtex] [pdf] [doi]
[18] Can a Higher-Order and a First-Order Theorem Prover Cooperate? (Christoph Benzmüller, Volker Sorge, Mateja Jamnik, Manfred Kerber), In Logic for Programming, Artificial Intelligence, and Reasoning, 11th International Conference, LPAR 2004, Montevideo, Uruguay, March 14-18, 2005, Proceedings (Franz Baader, Andrei Voronkov, eds.), Springer, LNCS, number 3452, pp. 415-431, 2005. (slides) [bibtex] [pdf] [doi]
2004
[17] 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]
2003
[16] Semantic Techniques for Cut-Elimination in Higher Order Logic. (Christoph Benzmüller, Chad Brown, Michael Kohlhase), Technical report, Saarland University, Saarbrücken, Germany and Carnegie Mellon University, Pittsburgh, USA, 2003. [bibtex] [pdf]
[15] Higher Order Semantics and Extensionality. (Christoph Benzmüller, Chad Brown, Michael Kohlhase), Technical report, Carnegie Mellon University, Pittsburgh, PA, number CMU-01-03, pp. 1-74, 2003. [bibtex] [pdf]
[14] 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
[13] Comparing Approaches to Resolution based Higher-Order Theorem Proving (Christoph Benzmüller), In Synthese, volume 133, number 1-2, pp. 203-235, 2002. [bibtex] [pdf] [doi]
[12] 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]
[11] 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
[10] An Agent Based Approach to Reasoning (Christoph Benzmüller), In Extended abstract for invited plenary talk at AISB'01 Convention `Agents and Cognition, University of York, pp. 57-58, 2001. (slides) [bibtex] [pdf]
[9] 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]
[8] Experiments with an Agent-oriented Reasoning system (Christoph Benzmüller, Mateja Jamnik, Manfred Kerber, Volker Sorge), In KI 2001: Advances in Artificial Intelligence, Joint German/Austrian Conference on AI, Vienna, Austria, September 19-21, 2001, Proceedings (Franz Baader, Gerhard Brewka, Thomas Eiter, eds.), Springer, LNCS, number 2174, pp. 409-424, 2001. (slides) [bibtex] [pdf] [doi]
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] Equality and Extensionality in Higher-Order Theorem Proving (Christoph Benzmüller), PhD thesis, Naturwissenschaftlich-Technische Fakultät I, Saarland University, Saarbrücken, Germany, pp. 1-174, 1999. [bibtex] [pdf]
[5] Equality and Extensionality in Higher-Order Theorem Proving (Christoph Benzmüller), Technical report, Saarland University, SEKI Publications (ISSN 1437-4447), number SR-99-08, pp. 1-139, 1999. [bibtex] [pdf]
[4] Agent based Mathematical Reasoning (Christoph Benzmüller, Mateja Jamnik, Manfred Kerber, Volker Sorge), In Electronic Notes in Theoretical Computer Science, Elsevier, volume 23, number 3, pp. 21-33, 1999. [bibtex] [pdf] [doi]
1998
[3] LEO -- A Higher-Order Theorem Prover (Christoph Benzmüller, Michael Kohlhase), In Automated Deduction - CADE-15, 15th International Conference on Automated Deduction, Lindau, Germany, July 5-10, 1998, Proceedings (Claude Kirchner, Hélène Kirchner, eds.), Springer, LNCS, number 1421, pp. 139-143, 1998. (slides) [bibtex] [pdf] [doi]
[2] Extensional Higher-Order Resolution (Christoph Benzmüller, Michael Kohlhase), In Automated Deduction - CADE-15, 15th International Conference on Automated Deduction, Lindau, Germany, July 5-10, 1998, Proceedings (Claude Kirchner, Hélène Kirchner, eds.), Springer, LNAI, number 1421, pp. 56-71, 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]
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