A Case Study on Formalizing Algebra in a Module System (original) (raw)
Related papers
A practical module system for LF
Proceedings of the Fourth International Workshop on Logical Frameworks and Meta-Languages Theory and Practice - LFMTP '09, 2009
A Survey of Abstract Algebraic Logic
Studia Logica - An International Journal for Symbolic Logic, 2003
Representing Model Theory in a Type-Theoretical Logical Framework
Electronic Notes in Theoretical Computer Science, 2009
Specification and Integration of Theorem Provers and Computer Algebra Systems
Jacques Calmet, Fausto Giunchiglia
1998
ACM Transactions on Programming Languages and Systems, 1994
Implementation of Modular Algebraic Specifications
Encoding modal logics in logical frameworks
Studia Logica, 1998
Generalizing Modular Logic Programs ∗
2016
Integrating computer algebra and reasoning through the type system of Aldor
2000
CASL: the Common Algebraic Specification Language
Peter D Mosses, Egidio Astesiano
Theoretical Computer Science, 2002
A Logical Framework with Explicit Conversions
Electronic Notes in Theoretical Computer Science, 2008
A Knowledge-Based Type System for Computer Algebra
1994
Algebraic Semantics for the Logic of Proofs
2021
Allowing Cyclic Dependencies in Modular Logic Programming
A web-scalable module system for mathematical theories
Manuscript, to be submitted to the Journal of …, 2010
A framework for defining logics
Journal of the ACM, 1993
An Overview of the Edinburgh Logical Framework
Current Trends in Hardware Verification and Automated Theorem Proving, 1989
LF: a foundational higher order logic
Modularization of Logic Programs
2013
Structured Specifications with Hiding in the Edinburgh Logical Framework LF Guided Research Thesis
A semantics for modular general logic programs
Theoretical Computer Science, 1998
Polynomial Ring Calculus for Modal Logics: A New Semantics and Proof Method for Modalities
The Review of Symbolic Logic, 2011
Modularity in Logic Programming
The Journal of Logic Programming, 1994
A kernel language for algebraic specification and implementation extended abstract
Lecture Notes in Computer Science, 1983
Reconciling first-order logic to algebra
Update to “A Survey of Abstract Algebraic Logic”
Studia Logica, 2009
An Approach to Modularity and Separate Compilation in Logic Programming
A Generic Theorem Prover Construction Framework
Nuprl-Light: An implementation framework for higher-order logics
Lecture Notes in Computer Science, 1997
Hybrid: A definitional two-level approach to reasoning with higher-order abstract syntax
Arxiv preprint arXiv:0811.4367, 2008