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CADE
2006
Springer
14 years 10 months ago
Automatic Construction and Verification of Isotopy Invariants
Abstract. We extend our previous study of the automatic construction of isomorphic classification theorems for algebraic domains by considering the isotopy equivalence relation. Is...
Volker Sorge, Andreas Meier, Roy L. McCasland, Sim...
CADE
2002
Springer
14 years 10 months ago
Basic Syntactic Mutation
Modularity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 Michael Abbott, Neil Ghani, and Christoph L?uth Union of Equational Theo...
Christopher Lynch, Barbara Morawska
TPHOL
1999
IEEE
14 years 2 months ago
Universal Algebra in Type Theory
We present a development of Universal Algebra inside Type Theory, formalized using the proof assistant Coq. We define the notion of a signature and of an algebra over a signature. ...
Venanzio Capretta
ACMMPC
2000
Springer
236views Mathematics» more  ACMMPC 2000»
14 years 2 months ago
Calculating Functional Programs
Abstract. Functional programs are merely equations; they may be manipulated by straightforward equational reasoning. In particular, one can use this style of reasoning to calculate...
Jeremy Gibbons
AIR
2005
114views more  AIR 2005»
13 years 9 months ago
Relation Algebras and their Application in Temporal and Spatial Reasoning
Qualitative temporal and spatial reasoning is in many cases based on binary relations such as before, after, starts, contains, contact, part of, and others derived from these by r...
Ivo Düntsch