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» Constructive algebraic integration theory
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FOIS
2006
15 years 1 months ago
Formalizing Ontology Alignment and its Operations with Category Theory
An ontology alignment is the expression of relations between different ontologies. In order to view alignments independently from the language expressing ontologies and from the te...
Antoine Zimmermann, Markus Krötzsch, Jé...
APLAS
2003
ACM
15 years 5 months ago
Observing Asymmetry and Mismatch
The chi calculus is studied in the framework incorporating two constructions widely useful in applications: asymmetric communication and mismatch condition. The barbed bisimilarity...
Xiaoju Dong, Yuxi Fu
TPHOL
2005
IEEE
15 years 5 months ago
A HOL Theory of Euclidean Space
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
John Harrison
TLCA
2007
Springer
15 years 5 months ago
Initial Algebra Semantics Is Enough!
Initial algebra semantics is a cornerstone of the theory of modern functional programming languages. For each inductive data type, it provides a fold combinator encapsulating struc...
Patricia Johann, Neil Ghani
105
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ITP
2010
178views Mathematics» more  ITP 2010»
15 years 1 months ago
Developing the Algebraic Hierarchy with Type Classes in Coq
We present a new formalization of the algebraic hierarchy in Coq, exploiting its new type class mechanism to make practical a solution formerly thought infeasible. Our approach add...
Bas Spitters, Eelis van der Weegen