The system F of variable types, fifteen years later
Theoretical Computer Science
Generality in artificial intelligence
Communications of the ACM
Information and Computation - Semantics of Data Types
Logic programming in the LF logical framework
Logical frameworks
Contexts: a formalization and some applications
Contexts: a formalization and some applications
Introduction to HOL: a theorem proving environment for higher order logic
Introduction to HOL: a theorem proving environment for higher order logic
Multilanguage hierarchical logics, or: how we can do without modal logics
Artificial Intelligence
Basic simple type theory
Theorem Proving via General Matings
Journal of the ACM (JACM)
Towards a standard upper ontology
Proceedings of the international conference on Formal Ontology in Information Systems - Volume 2001
Introduction to Mathematical Logic and Type Theory: To Truth through Proof
Introduction to Mathematical Logic and Type Theory: To Truth through Proof
Type Theoretic Foundations for Context, Part 1: Contexts as Complex Type-Theoretic Objects
CONTEXT '99 Proceedings of the Second International and Interdisciplinary Conference on Modeling and Using Context
HOL Light: A Tutorial Introduction
FMCAD '96 Proceedings of the First International Conference on Formal Methods in Computer-Aided Design
MSPASS: Modal Reasoning by Translation and First-Order Resolution
TABLEAUX '00 Proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
A General Theorem Prover for Quantified Modal Logics
TABLEAUX '02 Proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
PVS: Combining Specification, Proof Checking, and Model Checking
CAV '96 Proceedings of the 8th International Conference on Computer Aided Verification
Extensional Higher-Order Resolution
CADE-15 Proceedings of the 15th International Conference on Automated Deduction: Automated Deduction
Extensional Higher-Order Paramodulation and RUE-Resolution
CADE-16 Proceedings of the 16th International Conference on Automated Deduction: Automated Deduction
System Description: Twelf - A Meta-Logical Framework for Deductive Systems
CADE-16 Proceedings of the 16th International Conference on Automated Deduction: Automated Deduction
Tableaux for Quantified Hybrid Logic
TABLEAUX '02 Proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
System Description: LEO - A Higher-Order Theorem Prover
CADE-15 Proceedings of the 15th International Conference on Automated Deduction: Automated Deduction
A complete mechanization of (&ohgr;) -order type theory
ACM '72 Proceedings of the ACM annual conference - Volume 1
Comparing formal theories of context in AI
Artificial Intelligence
Natural Deduction for First-Order Hybrid Logic
Journal of Logic, Language and Information
The design and implementation of VAMPIRE
AI Communications - CASC
AI Communications - CASC
User Interaction with the Matita Proof Assistant
Journal of Automated Reasoning
IJCAR '08 Proceedings of the 4th international joint conference on Automated Reasoning
THF0 --- The Core of the TPTP Language for Higher-Order Logic
IJCAR '08 Proceedings of the 4th international joint conference on Automated Reasoning
Integrating YAGO into the Suggested Upper Merged Ontology
ICTAI '08 Proceedings of the 2008 20th IEEE International Conference on Tools with Artificial Intelligence - Volume 01
Automated Reasoning in Higher-order Logic: Set Comprehension and Extensionality in Church's Type Theory
Progress in the Development of Automated Theorem Proving for Higher-Order Logic
CADE-22 Proceedings of the 22nd International Conference on Automated Deduction
IJCAI'93 Proceedings of the 13th international joint conference on Artifical intelligence - Volume 1
A mechanization of type theory
IJCAI'73 Proceedings of the 3rd international joint conference on Artificial intelligence
The TPTP Problem Library and Associated Infrastructure
Journal of Automated Reasoning
Large theory reasoning with SUMO at CASC
AI Communications - Practical Aspects of Automated Reasoning
Isabelle/HOL: a proof assistant for higher-order logic
Isabelle/HOL: a proof assistant for higher-order logic
The TPTP world - infrastructure for automated reasoning
LPAR'10 Proceedings of the 16th international conference on Logic for programming, artificial intelligence, and reasoning
Reducing higher-order theorem proving to a sequence of SAT problems
CADE'11 Proceedings of the 23rd international conference on Automated deduction
Sine Qua non for large theory reasoning
CADE'11 Proceedings of the 23rd international conference on Automated deduction
Analytic tableaux for higher-order logic with choice
IJCAR'10 Proceedings of the 5th international conference on Automated Reasoning
Nitpick: a counterexample generator for higher-order logic based on a relational model finder
ITP'10 Proceedings of the First international conference on Interactive Theorem Proving
Fundamenta Informaticae
CSR'07 Proceedings of the Second international conference on Computer Science: theory and applications
Sigma: An integrated development environment for formal ontology
AI Communications - Intelligent Engineering Techniques for Knowledge Bases
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This article addresses the automation of higher-order aspects in expressive ontologies such as the suggested upper merged ontology SUMO. Evidence is provided that modern higher-order automated theorem provers like LEO-II can be fruitfully employed for the task. A particular focus is on embedded formulas (formulas as terms), which are used in SUMO, for example, for modeling temporal, epistemic, or doxastic contexts. This modeling is partly in conflict with SUMO's assumption of a bivalent, classical semantics and it may hence lead to counterintuitive reasoning results with automated theorem provers in practice. A solution is proposed that maps SUMO to quantified multimodal logic which is in turn modeled as a fragment of classical higher-order logic. This way automated higher-order theorem provers can be safely applied for reasoning about modal contexts in SUMO. Our findings are of wider relevance as they analogously apply to other expressive ontologies and knowledge representation formalisms.