HiLog: A foundation for higher-order logic programming. We describe a novel logic, called HiLog, and show that it provides a more suitable basis for logic programming than does traditional predicate logic. HiLog has a higher-order syntax and allows arbitrary terms to appear in places where predicates, functions, and atomic formulas occur in predicate calculus. But its semantics is first-order and admits a sound and complete proof procedure. Applications of HiLog are discussed, including DCG grammars, higher-order and modular logic programming, and deductive databases.

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  1. Lipton, James; Nieva, Susana: Kripke semantics for higher-order type theory applied to constraint logic programming languages (2018)
  2. Charalambidis, Angelos; Rondogiannis, Panos; Symeonidou, Ioanna: Equivalence of two fixed-point semantics for definitional higher-order logic programs (2017)
  3. Rondogiannis, Panos; Symeonidou, Ioanna: The intricacies of three-valued extensional semantics for higher-order logic programs (2017)
  4. Rondogiannis, Panos; Symeonidou, Ioanna: Extensional semantics for higher-order logic programs with negation (2016)
  5. Analyti, Anastasia; Viegas Damásio, Carlos; Antoniou, Grigoris: Extended RDF: computability and complexity issues (2015)
  6. Benedikt, Michael; Puppis, Gabriele; Vu, Huy: The complexity of higher-order queries (2015)
  7. Dasseville, Ingmar; Van der Hallen, Matthias; Janssens, Gerda; Denecker, Marc: Semantics of templates in a compositional framework for building logics (2015)
  8. Liang, Senlin; Kifer, Michael: A practical analysis of non-termination in large logic programs (2013)
  9. Amato, Gianluca; Lipton, James; McGrail, Robert: On the algebraic structure of declarative programming languages (2009)
  10. Eiter, Thomas; Ianni, Giovambattista; Krennwallner, Thomas: Answer set programming: a primer (2009)
  11. Majkić, Zoran: Intensional first-order logic for P2P database systems (2009)
  12. Nguyen, Philip H.P.; Kaneiwa, Ken; Corbett, Dan; Nguyen, Minh-Quang: Meta-relation and ontology closure in conceptual structure theory (2009) ioport
  13. Ricca, Francesco; Gallucci, Lorenzo; Schindlauer, Roman; Dell’Armi, Tina; Grasso, Giovanni; Leone, Nicola: OntoDLV: an ASP-based system for enterprise ontologies (2009)
  14. Wan, Hui; Grosof, Benjamin; Kifer, Michael; Fodor, Paul; Liang, Senlin: Logic programming with defaults and argumentation theories (2009)
  15. de Bruijn, Jos; Heymans, Stijn: On the relationship between description logic-based and $F$-logic-based ontologies (2008)
  16. Motik, Boris: On the properties of metamodeling in OWL (2007)
  17. Ricca, Francesco; Leone, Nicola: Disjunctive logic programming with types and objects: the $\mathrmDLV^+$ system (2007)
  18. Baral, Chitta; Dzifcak, Juraj; Takahashi, Hiro: Macros, macro calls and use of ensembles in modular answer set programming (2006)
  19. Casas, Amadeo; Cabeza, Daniel; Hermenegildo, Manuel V.: A syntactic approach to combining functional notation, lazy evaluation, and higher-order in LP systems (2006)
  20. van Emden, Maarten H.: Compositional semantics for the procedural interpretation of logic (2006)

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