A framework for defining logics
Journal of the ACM (JACM)
Institutions: abstract model theory for specification and programming
Journal of the ACM (JACM)
May I borrow your logic? (Transporting logical structures along maps)
Theoretical Computer Science - Special issue: algebraic development techniques
A Skeptic’s Approach to Combining HOL and Maple
Journal of Automated Reasoning
TACS '97 Proceedings of the Third International Symposium on Theoretical Aspects of Computer Software
The HOL/NuPRL Proof Translator (A Practical Approach to Formal Interoperability)
TPHOLs '01 Proceedings of the 14th International Conference on Theorem Proving in Higher Order Logics
On Relating Type Theories and Set Theories
TYPES '98 Selected papers from the International Workshop on Types for Proofs and Programs
Information Retrieval in a Coq Proof Library Using Type Isomorphisms
TYPES '99 Selected papers from the International Workshop on Types for Proofs and Programs
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
CADE-17 Proceedings of the 17th International Conference on Automated Deduction
Non-Trivial Symbolic Computations in Proof Planning
FroCoS '00 Proceedings of the Third International Workshop on Frontiers of Combining Systems
Translating Higher-Order Clauses to First-Order Clauses
Journal of Automated Reasoning
Higher order Proof Reconstruction from Paramodulation-Based Refutations: The Unit Equality Case
Calculemus '07 / MKM '07 Proceedings of the 14th symposium on Towards Mechanized Mathematical Assistants: 6th International Conference
IJCAR '08 Proceedings of the 4th international joint conference on Automated Reasoning
Dealing with algebraic expressions over a field in Coq using Maple
Journal of Symbolic Computation
The heterogeneous tool set, HETS
TACAS'07 Proceedings of the 13th international conference on Tools and algorithms for the construction and analysis of systems
Towards MKM in the large: modular representation and scalable software architecture
AISC'10/MKM'10/Calculemus'10 Proceedings of the 10th ASIC and 9th MKM international conference, and 17th Calculemus conference on Intelligent computer mathematics
An interpretation of Isabelle/HOL in HOL light
IJCAR'06 Proceedings of the Third international joint conference on Automated Reasoning
Importing HOL into Isabelle/HOL
IJCAR'06 Proceedings of the Third international joint conference on Automated Reasoning
ITP'10 Proceedings of the First international conference on Interactive Theorem Proving
A mechanized translation from higher-order logic to set theory
ITP'10 Proceedings of the First international conference on Interactive Theorem Proving
Management of change in declarative languages
CICM'12 Proceedings of the 11th international conference on Intelligent Computer Mathematics
Information and Computation
| Hi-index | 0.00 |
The integration of reasoning and computation services across system and language boundaries is a challenging problem of computer science. In this paper, we use integration for the scenario where we have two systems that we integrate by moving problems and solutions between them. While this scenario is often approached from an engineering perspective, we take a foundational view. Based on the generic declarative language MMT, we develop a theoretical framework for system integration using theories and partial theory morphisms. Because MMT permits representations of the meta-logical foundations themselves, this includes integration across logics. We discuss safe and unsafe integration schemes and devise a general form of safe integration.