The Coq Proof Assistant, Reference Manual, Version 5.10

Projet COQRésumé disponible dans les fichiers attaché

The Coq Proof Assistant Reference Manual : Version 6.1

Projet COQCoq is a proof assistant based on a higher-order logic allowing powerful definitions of functions. Coq V6.1 is available by anonymous ftp at ftp.inria.fr:/INRIA/Projects/coq/V6.1 and ftp.ens-lyon.fr:/pub/LIP/COQ/V6.

TYPE THEORY AND FUNCTIONAL PROGRAMMING A WORK PROPOSAL Gustavo Betarte

We propose a series of work areas related to type theory and functional programming. By type theory we mean the formulation of Martin-Lof's set theory using the theory of types as logical framework, extended with record types and subtyping. The areas presented are: the implementation of an environment for carrying out constructions in type theory, the systematic development of programming in type theory as a formal discipline and the formalization in type theory of the theory of functional programming languages. We also give a succint introduction to a theory of specifications and programs in which programs and their correctness proofs are separated but still can be built up simultaneously; we propose the implementation of a programming system for this theory too. The group of people presenting this work proposal is defined by their common interest to work together in at least one of the areas proposed. There will be people working in each of these areas in the Plata region. 1. Introdu..

Type Theory and Functional Programming: a work proposal

We propose a series of work areas related to program verification, type theory and functional programming. The areas presented are: the implementation of an environment for carrying out constructions in type theory, the systematic development of programming in type theory as a formal discipline and the formalization in type theory of the theory of functional programming languages. We also give a succinct introduction to a theory of specifications and programs in which programs and their correctness proofs are separated but still can be built up simultaneously; we propose the implementation of a programming system for this theory too. The group of people presenting this work proposal is defined by their common interest to work together in at least one of the areas proposed. Most of them will be soon working in the Plata region of South America (Argentina and Uruguay), because they already reside there, or because they plan to do so in the near future. They also hope to be in strong conn..

The Coq Proof Assistant - Reference Manual V 5.10

ion All Axiom Begin Cd Chapter Check CheckGuard CoFixpoint Compute Defined Definition Drop Elimination End Eval Explain Extraction Fact Fixpoint Focus for Go Goal Hint Hypothesis Immediate Induction Inductive Infix Inspect Lemma Let Local Minimality ML Module Modules Mutual Node Opaque Parameter Parameters Print Proofs Prop Pwd Qed Remark Require Restart Resume Save Scheme Script Search Section Set Show Silent States Suspend Syntactic Theorem Token Transparent Tree Type TypeSet Undo Unfocus Variable Variables Write Other keywords and user's tokens The following sequences of characters are also keywords: --- : := = ? ?? !? !! ! -? ; # * , ? @ :: / !- You can add new tokens with the command Token (see section 5.7.4). New tokens must be sequences, without blanks, of characters taken from the following list: ! ? / " - + = ; , --- ! @ # % & ? * : ~ a..z A..Z ' 0..9 that do not start with a character from a..z A..Z ' 0..9 Lexical ambiguities are resolved according to the "longest m..

Carbon Abatement Leaders and Laggards Non Parametric Analyses of Policy Oriented Kuznets Curves

We study the eventual structural differences of climate change leading 'actors' such as Northern EU countries, and 'lagging actors' - southern EU countries and the 'Umbrella group' - with regard to long run (1960-2001) carbon-income relationships. Parametric and semi parametric panel models show that the groups of countries that were in the Kyoto arena less in favour of stringent climate policy, have yet to experience a turning point, though they at least show relative delinking in their monotonic carbon-income relationship. Northern EU instead robustly shows bell shapes across models, which seem to depend on time related (policy) events. Time related effects are more relevant than income effects in explaining the occurrence of robust Kuznets curves. The reaction of northern EU to exogenous policy events such as the 1992 climate change convention that gave earth to the Kyoto era, and even the second oil shock that preceded it in the 80's are among the causes of the observed structural differences