SCP
2011
13 years 5 months ago
2011
A definitional extension LNGMIt of the Calculus of Inductive Constructions (CIC), that underlies the proof assistant Coq, is presented that allows also to program with nested dat...
JSC
2002
13 years 10 months ago
2002
We describe a framework of algebraic structures in the proof assistant Coq. We have developed this framework as part of the FTA project in Nijmegen, in which a constructive proof ...
JAR
2002
13 years 10 months ago
2002
We formalise natural deduction for first-order logic in the proof assistant Coq, using De Bruijn indices for variable binding. The main judgement we model is of the form d [:] , ...
JAR
2007
13 years 10 months ago
2007
Abstract. We illustrate a methodology for formalizing and reasoning about Abadi and Cardelli’s object-based calculi, in (co)inductive type theory, such as the Calculus of (Co)Ind...
CORR
2007
Springer
13 years 11 months ago
2007
Springer
This paper presents experiments on common knowledge logic, conducted with the help of the proof assistant Coq. The main feature of common knowledge logic is the eponymous modality...
ENTCS
2006
13 years 11 months ago
2006
We describe an automatic complexity analysis mechanism for programs extracted from proofs carried out with the proof assistant Coq. By extraction, we mean the automatic generation...
CORR
2006
Springer
13 years 11 months ago
2006
Springer
In a previous work, we proved that almost all of the Calculus of Inductive Constructions (CIC), the basis of the proof assistant Coq, can be seen as a Calculus of Algebraic Constru...
CORR
2006
Springer
13 years 11 months ago
2006
Springer
Abstract : The main novelty of this paper is to consider an extension of the Calculus of Constructions where predicates can be defined with a general form of rewrite rules. We prov...
ENTCS
2008
13 years 11 months ago
2008
We show how to reason, in the proof assistant Coq, about realistic programming languages using a combination of separation logic and heterogeneous multimodal logic. A heterogeneou...
CORR
2008
Springer
13 years 11 months ago
2008
Springer
In order to better understand reasoning involved in analyzing infinite games in extensive form, we performed the experiments in proof assistant Coq that are reported here.