Lisa Allali (auth.), Marino Miculan, Ivan Scagnetto, Furio Honsell (eds.)3540680845, 9783540680840
This book constitutes the thoroughly refereed post-conference proceedings of TYPES 2007, the concluding conference of the Types project, held in Cividale del Friuli, Italy, in May 2007.
The 13 revised full papers presented were carefully reviewed and selected from 22 submissions. The topic of this last annual workshop of the Types Working Group was formal reasoning and computer programming based on type theory. Great importance was attached to languages and computerized tools for reasoning, and applications in several domains such as analysis of programming languages, certified software, formalization of mathematics and mathematics education.
Table of contents :
Front Matter….Pages –
Algorithmic Equality in Heyting Arithmetic Modulo….Pages 1-17
CoqJVM: An Executable Specification of the Java Virtual Machine Using Dependent Types….Pages 18-32
Dependently Sorted Logic….Pages 33-50
Finiteness in a Minimalist Foundation….Pages 51-68
A Declarative Language for the Coq Proof Assistant….Pages 69-84
Characterising Strongly Normalising Intuitionistic Sequent Terms….Pages 85-99
Intuitionistic vs. Classical Tautologies, Quantitative Comparison….Pages 100-109
In the Search of a Naive Type Theory….Pages 110-124
Verification of the Redecoration Algorithm for Triangular Matrices….Pages 125-141
A Logic for Parametric Polymorphism with Effects….Pages 142-156
Working with Mathematical Structures in Type Theory….Pages 157-172
On Normalization by Evaluation for Object Calculi….Pages 173-187
Attributive Types for Proof Erasure….Pages 188-202
Back Matter….Pages –
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