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PLPV
2009
ACM
14 years 6 months ago
Embedding a logical theory of constructions in Agda
We propose a new way to reason about general recursive functional programs in the dependently typed programming language Agda, which is based on Martin-L¨of’s intuitionistic ty...
Ana Bove, Peter Dybjer, Andrés Sicard-Ram&i...
LPNMR
2009
Springer
14 years 4 months ago
A Deductive System for FO(ID) Based on Least Fixpoint Logic
Abstract. The logic FO(ID) uses ideas from the field of logic programming to extend first order logic with non-monotone inductive definitions. The goal of this paper is to exten...
Ping Hou, Marc Denecker
CSL
2005
Springer
14 years 3 months ago
Decidability of Type-Checking in the Calculus of Algebraic Constructions with Size Annotations
Since Val Tannen's pioneering work on the combination of simply-typed λ-calculus and rst-order rewriting [11], many authors have contributed to this subject by extending it ...
Frédéric Blanqui
KCAP
2003
ACM
14 years 3 months ago
Learning programs from traces using version space algebra
While existing learning techniques can be viewed as inducing programs from examples, most research has focused on rather narrow classes of programs, e.g., decision trees or logic ...
Tessa A. Lau, Pedro Domingos, Daniel S. Weld
TPHOL
2002
IEEE
14 years 2 months ago
Type-Theoretic Functional Semantics
We describe the operational and denotational semantics of a small imperative language in type theory with inductive and recursive definitions. The operational semantics is given b...
Yves Bertot, Venanzio Capretta, Kuntal Das Barman