A framework for defining logics
Journal of the ACM (JACM)
Isar - A Generic Interpretative Approach to Readable Formal Proof Documents
TPHOLs '99 Proceedings of the 12th International Conference on Theorem Proving in Higher Order Logics
PVS: A Prototype Verification System
CADE-11 Proceedings of the 11th 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
OMDoc -- An Open Markup Format for Mathematical Documents [version 1.2]: Foreword by Alan Bundy (Lecture Notes in Computer Science)
A Mathematical Approach to Ontology Authoring and Documentation
Calculemus '09/MKM '09 Proceedings of the 16th Symposium, 8th International Conference. Held as Part of CICM '09 on Intelligent Computer Mathematics
Computer assisted reasoning with MIZAR
IJCAI'85 Proceedings of the 9th international joint conference on Artificial intelligence - Volume 1
Isabelle/HOL: a proof assistant for higher-order logic
Isabelle/HOL: a proof assistant for higher-order logic
A formal correspondence between OMDoc with alternative proofs and the λµµ-calculus
MKM'06 Proceedings of the 5th international conference on Mathematical Knowledge Management
The Mizar Mathematical Library in OMDoc: Translation and Applications
Journal of Automated Reasoning
Information and Computation
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Successful representation and markup languages find a good balance between giving the user freedom of expression, enforcing the fundamental semantic invariants of the modeling framework, and allowing machine support for the underlying semantic structures. MKM formats maintain strong invariants while trying to be foundationally unconstrained, which makes the induced design problem particularly challenging. In this situation, it is standard practice to define a minimal core language together with a scripting/macro facility for syntactic extensions that map into the core language. In practice, such extension facilities are either fully unconstrained (making invariants and machine support difficult) or limited to the object level (keeping the statement and theory levels fixed). In this paper we develop a general methodology for extending MKM representation formats at the statement level. We show the utility (and indeed necessity) of statement-level extension by redesigning the OMDoc format into a minimal, regular core language (strict OMDoc) and an extension (pragmatic OMDoc) that maps into strict OMDoc.