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CIE
2010
Springer
13 years 10 months ago
Processes in Space
We introduce a geometric process algebra based on affine geometry, with the aim of describing the concurrent evolution of geometric structures in 3D space. We prove a relativity th...
Luca Cardelli, Philippa Gardner
CIE
2010
Springer
13 years 10 months ago
Circuit Complexity and Multiplicative Complexity of Boolean Functions
In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
Arist Kojevnikov, Alexander S. Kulikov
CIE
2010
Springer
13 years 10 months ago
Higher-Order Containers
Containers are a semantic way to talk about strictly positive types. In previous work it was shown that containers are closed under various constructions including products, coprod...
Thorsten Altenkirch, Paul Levy, Sam Staton
CIE
2010
Springer
13 years 10 months ago
The Peirce Translation and the Double Negation Shift
We develop applications of selection functions to proof theory and computational extraction of witnesses from proofs in classical analysis. The main novelty is a translation of cla...
Martín Hötzel Escardó, Paulo Ol...
CIE
2010
Springer
13 years 10 months ago
Haskell before Haskell: Curry's Contribution to Programming (1946-1950)
This paper discusses Curry’s work on how to implement the problem of inverse interpolation on the ENIAC (1946) and his subsequent work on developing a theory of program compositi...
Liesbeth De Mol, Maarten Bullynck, Martin Carl&eac...