Separating Knowledge from Computation An FO( ) Knowledge Base System and its Model Expansion Inference

[1]  Joost Vennekens,et al.  A logical framework for configuration software , 2009, PPDP '09.

[2]  Yuliya Lierler,et al.  Integration Schemas for Constraint Answer Set Programming: a Case Study , 2013, Theory Pract. Log. Program..

[3]  Peter J. Stuckey,et al.  MiniZinc: Towards a Standard CP Modelling Language , 2007, CP.

[4]  Johan Wittocx,et al.  Towards Computing Revised Models for FO Theories , 2009, INAP.

[5]  Johan Wittocx,et al.  Finite domain and symbolic inference methods for extensions of first-order logic , 2010, AI Commun..

[6]  Nikolay Pelov,et al.  Semantics of logic programs with aggregates , 2004 .

[7]  Martin Gebser,et al.  Conflict-driven answer set solving: From theory to practice , 2012, Artif. Intell..

[8]  Allen Van Gelder,et al.  The Alternating Fixpoint of Logic Programs with Negation , 1993, J. Comput. Syst. Sci..

[9]  Giovambattista Ianni,et al.  The third open answer set programming competition , 2012, Theory and Practice of Logic Programming.

[10]  Wolfgang Faber,et al.  The Intelligent Grounder of DLV , 2012, Correct Reasoning.

[11]  Mutsunori Banbara,et al.  Compiling finite linear CSP into SAT , 2006, Constraints.

[12]  Geoff Sutcliffe The 6th IJCAR automated theorem proving system competition - CASC-J6 , 2013, AI Commun..

[13]  W. W. Armstrong,et al.  Dependency Structures of Data Base Relationships , 1974, IFIP Congress.

[14]  Peter J. Stuckey,et al.  Stable model semantics for founded bounds , 2013, Theory Pract. Log. Program..

[15]  Kenneth A. Ross,et al.  The well-founded semantics for general logic programs , 1991, JACM.

[16]  Roberto Ierusalimschy,et al.  Lua—An Extensible Extension Language , 1996 .

[17]  Wolfgang Faber,et al.  The DLV system for knowledge representation and reasoning , 2002, TOCL.

[18]  Maurice Bruynooghe,et al.  Analyzing manuscript traditions using constraint-based data mining , 2012 .

[19]  Mihai Albu,et al.  Testing methods on an artificially created textual tradition , 2006 .

[20]  MARCELLO BALDUCCINI ASP with non-herbrand partial functions: a language and system for practical use , 2013, Theory Pract. Log. Program..

[21]  Geoff Sutcliffe The TPTP Problem Library and Associated Infrastructure , 2009, Journal of Automated Reasoning.

[22]  Marcello Balduccini,et al.  Industrial-Size Scheduling with ASP+CP , 2011, LPNMR.

[23]  Igor L. Markov,et al.  Efficient symmetry breaking for Boolean satisfiability , 2003, IEEE Transactions on Computers.

[24]  Joohyung Lee,et al.  Stable Models of Formulas with Intensional Functions , 2012, KR.

[25]  Ilkka Niemelä,et al.  Answer Set Programming via Mixed Integer Programming , 2012, KR.

[26]  Martin Gebser,et al.  Advances in gringo Series 3 , 2011, LPNMR.

[27]  Nikolaj Bjørner,et al.  Satisfiability modulo theories , 2011, Commun. ACM.

[28]  Christoph Weidenbach,et al.  SPASS Version 3.5 , 2009, CADE.

[29]  Ian P. Gent,et al.  Short and Long Supports for Constraint Propagation , 2013, J. Artif. Intell. Res..

[30]  Bart Demoen,et al.  A Novel Approach For Detecting Symmetries in CSP Models , 2008, CPAIOR.

[31]  S. Timpanaro,et al.  The genesis of Lachmann's method , 2005 .

[32]  Niklas Sörensson,et al.  An Extensible SAT-solver , 2003, SAT.

[33]  Joost Vennekens,et al.  Building a Knowledge Base System for an Integration of Logic Programming and Classical Logic , 2008, ICLP.

[34]  Maurice Bruynooghe,et al.  Well-founded and stable semantics of logic programs with aggregates , 2007, Theory Pract. Log. Program..

[35]  Luc De Raedt,et al.  On the implementation of the probabilistic logic programming language ProbLog , 2010, Theory and Practice of Logic Programming.

[36]  Marc Denecker,et al.  Model Expansion in the Presence of Function Symbols Using Constraint Programming , 2013, 2013 IEEE 25th International Conference on Tools with Artificial Intelligence.

[37]  Roberto Bruttomesso,et al.  A Lazy and Layered SMT($\mathcal{BV}$) Solver for Hard Industrial Verification Problems , 2007, CAV.

[38]  Johan Wittocx,et al.  The IDP system , 2010 .

[39]  Geoff Sutcliffe The CADE-23 Automated Theorem Proving System Competition - CASC-23 , 2012, AI Commun..

[40]  Pedro M. Domingos,et al.  Memory-Efficient Inference in Relational Domains , 2006, AAAI.

[41]  David Scott Warren,et al.  Tabled evaluation with delaying for general logic programs , 1996, JACM.

[42]  Raymond Reiter,et al.  Towards a Logical Reconstruction of Relational Database Theory , 1982, On Conceptual Modelling.

[43]  S. C. Kleene,et al.  Introduction to Metamathematics , 1952 .

[44]  Torsten Schaub,et al.  Unsatisfiability-based optimization in clasp , 2012, ICLP.

[45]  Peter J. Stuckey,et al.  Lazy Model Expansion by Incremental Grounding , 2012, ICLP.

[46]  V. Lifschitz,et al.  The Stable Model Semantics for Logic Programming , 1988, ICLP/SLP.

[47]  Caroline Macé,et al.  Beyond the tree of texts: Building an empirical model of scribal variation through graph analysis of texts and stemmata , 2013, Lit. Linguistic Comput..

[48]  Murray Shanahan Solving the frame problem - a mathematical investigation of the common sense law of inertia , 1997 .

[49]  Emina Torlak,et al.  Kodkod: A Relational Model Finder , 2007, TACAS.

[50]  Peter Schneider-Kamp,et al.  Optimal Base Encodings for Pseudo-Boolean Constraints , 2010, TACAS.

[51]  John Martin,et al.  A History of Satisfiability , 2009, Handbook of Satisfiability.

[52]  Tuomas Heikkilä,et al.  Evaluating methods for computer-assisted stemmatology using artificial benchmark data sets , 2009, Lit. Linguistic Comput..

[53]  Andrei Voronkov,et al.  First-Order Theorem Proving and Vampire , 2013, CAV.

[54]  Michael Codish,et al.  Compiling finite domain constraints to SAT with BEE* , 2012, Theory and Practice of Logic Programming.

[55]  Danny De Schreye,et al.  Justification Semantics: A Unifiying Framework for the Semantics of Logic Programs , 1993, International Conference on Logic Programming and Non-Monotonic Reasoning.

[56]  Greg Nelson,et al.  Fast Decision Procedures Based on Congruence Closure , 1980, JACM.

[57]  Eugenia Ternovska,et al.  Reducing Inductive Definitions to Propositional Satisfiability , 2005, ICLP.

[58]  Laurence A. Wolsey,et al.  Integer and Combinatorial Optimization , 1988, Wiley interscience series in discrete mathematics and optimization.

[59]  David G. Mitchell,et al.  Lifted Unit Propagation for Effective Grounding , 2011, ArXiv.

[60]  Peter J. Stuckey,et al.  MiniZinc with Functions , 2013, CPAIOR.

[61]  Michael Thielscher,et al.  Representing the Knowledge of a Robot , 2000, KR.

[62]  Leonardo Mendonça de Moura,et al.  Complete Instantiation for Quantified Formulas in Satisfiabiliby Modulo Theories , 2009, CAV.

[63]  Felix Sheng-Ho Chang,et al.  Finding Minimal Unsatisfiable Cores of Declarative Specifications , 2008, FM.

[64]  David Detlefs,et al.  Simplify: a theorem prover for program checking , 2005, JACM.

[65]  Gerda Janssens,et al.  IDP3: Combining symbolic and ground reasoning for model generation , 2013 .

[66]  Thai Son Hoang,et al.  Rodin: an open toolset for modelling and reasoning in Event-B , 2010, International Journal on Software Tools for Technology Transfer.

[67]  Nikolaj Bjørner,et al.  Open-World Logic Programs: A New Foundation for Formal Specifications , 2013 .

[68]  Guy Van den Broeck,et al.  An exercise with statistical relational learning systems , 2009 .

[69]  Miroslaw Truszczynski,et al.  The Second Answer Set Programming Competition , 2009, LPNMR.

[70]  Maurice Bruynooghe,et al.  Detection and exploitation of functional dependencies for model generation , 2013, Theory and Practice of Logic Programming.

[71]  Richard M. Karp,et al.  Reducibility Among Combinatorial Problems , 1972, 50 Years of Integer Programming.

[72]  Michael Gelfond,et al.  Integrating answer set programming and constraint logic programming , 2008, Annals of Mathematics and Artificial Intelligence.

[73]  Eugenia Ternovska,et al.  Grounding for Model Expansion in k-Guarded Formulas with Inductive Definitions , 2007, IJCAI.

[74]  Hans Tompits,et al.  A Uniform Integration of Higher-Order Reasoning and External Evaluations in Answer-Set Programming , 2005, IJCAI.

[75]  Miroslaw Truszczynski,et al.  Answer set programming at a glance , 2011, Commun. ACM.

[76]  Martin Gebser,et al.  Constraint Answer Set Solving , 2009, ICLP.

[77]  Daniel Jackson,et al.  Alloy: a lightweight object modelling notation , 2002, TSEM.

[78]  Tomi Janhunen,et al.  Representing Normal Programs with Clauses , 2004, ECAI.

[79]  David G. Mitchell,et al.  Enfragmo: A System for Modelling and Solving Search Problems with Logic , 2012, LPAR.

[80]  Luís Moniz Pereira,et al.  Towards Practical Tabled Abduction in Logic Programs , 2013, EPIA.

[81]  Ping Hou,et al.  FO(FD): Extending classical logic with rule-based fixpoint definitions , 2010, Theory and Practice of Logic Programming.

[82]  Maurice Bruynooghe,et al.  Predicate logic as a modeling language: modeling and solving some machine learning and data mining problems with IDP3 , 2013, Theory and Practice of Logic Programming.

[83]  Erwin Pesch,et al.  Analysis, modeling and solution of the concrete delivery problem , 2009, Eur. J. Oper. Res..

[84]  Marc Denecker,et al.  The Well-Founded Semantics Is the Principle of Inductive Definition , 1998, JELIA.

[85]  Martin Gebser,et al.  On the Input Language of ASP Grounder Gringo , 2009, LPNMR.

[86]  David G. Mitchell,et al.  A Framework for Representing and Solving NP Search Problems , 2005, AAAI.

[87]  Raymond Reiter,et al.  Equality and Domain Closure in First-Order Databases , 1980, JACM.

[88]  Roland H. C. Yap,et al.  Solving functional constraints by variable substitution , 2010, Theory and Practice of Logic Programming.

[89]  Martin Gebser,et al.  Solution Enumeration for Projected Boolean Search Problems , 2009, CPAIOR.

[90]  Koen Claessen,et al.  New techniques that improve mace-style model nding , 2003 .

[91]  Maurice Bruynooghe,et al.  Constraint Propagation for First-Order Logic and Inductive Definitions , 2013, TOCL.

[92]  Christopher Mears,et al.  Symmetry Propagation: Improved Dynamic Symmetry Breaking in SAT , 2012, 2012 IEEE 24th International Conference on Tools with Artificial Intelligence.

[93]  Amir Aavani,et al.  Enfragmo: A System for Grounding Extended First-Order Logic to SAT , 2014 .

[94]  Gerda Janssens,et al.  Compiling Input* FO(·) inductive definitions into tabled prolog rules for IDP3 , 2013, Theory Pract. Log. Program..

[95]  Johan Wittocx,et al.  Grounding FO and FO(ID) with Bounds , 2010, J. Artif. Intell. Res..

[96]  Peter Baumgartner,et al.  Model Evolution with equality - Revised and implemented , 2012, J. Symb. Comput..

[97]  Eugenia Ternovska,et al.  A logic of nonmonotone inductive definitions , 2008, TOCL.

[98]  Peter J. Stuckey,et al.  The Proper Treatment of Undefinedness in Constraint Languages , 2009, CP.

[99]  Maurice Bruynooghe,et al.  Modeling Machine Learning and Data Mining Problems with FO(·) , 2012, ICLP.

[100]  Martin Gebser,et al.  Challenges in Answer Set Solving , 2011, Logic Programming, Knowledge Representation, and Nonmonotonic Reasoning.

[101]  Peter J. Stuckey,et al.  The Design of the Zinc Modelling Language , 2008, Constraints.

[102]  Mario Alviano,et al.  The Fourth Answer Set Programming Competition: Preliminary Report , 2013, LPNMR.

[103]  Albert Oliveras,et al.  Fast congruence closure and extensions , 2007, Inf. Comput..

[104]  Victor W. Marek,et al.  Logic programming revisited , 2001, ACM Trans. Comput. Log..

[105]  B. V. Fraassen Singular Terms, Truth-Value Gaps, and Free Logic , 1966 .

[106]  Koen Decroix,et al.  A Formal Approach for Inspecting Privacy and Trust in Advanced Electronic Services , 2013, ESSoS.

[107]  Philipp Rümmer,et al.  A Constraint Sequent Calculus for First-Order Logic with Linear Integer Arithmetic , 2008, LPAR.