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» On Skolemization in constructive theories
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SCP
2011
255views Communications» more  SCP 2011»
13 years 1 months ago
Map fusion for nested datatypes in intensional type theory
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...
Ralph Matthes
CORR
2011
Springer
170views Education» more  CORR 2011»
12 years 10 months ago
A Modular Type-checking algorithm for Type Theory with Singleton Types and Proof Irrelevance
We define a logical framework with singleton types and one universe of small types. We give the semantics using a PER model; it is used for constructing a normalisation-by-evaluat...
Andreas Abel, Thierry Coquand, Miguel Pagano
ICAIL
2003
ACM
13 years 12 months ago
Developing Legal Knowledge Based Systems Through Theory Construction
Bench-Capon and Sartor have proposed that reasoning with legal cases be seen as a process of theory construction, evaluation and application. They have proposed a set of theory co...
Alison Chorley, Trevor J. M. Bench-Capon
MLQ
2006
84views more  MLQ 2006»
13 years 6 months ago
A note on Bar Induction in Constructive Set Theory
Bar Induction occupies a central place in Brouwerian mathematics. This note is concerned with the strength of Bar Induction on the basis of Constructive ZermeloFraenkel Set Theory...
Michael Rathjen
MLQ
2008
63views more  MLQ 2008»
13 years 6 months ago
Elementary constructive theory of Henselian local rings
Abstract. We give an elementary theory of Henselian local rings and construct the Henselization of a local ring. All our theorems have an algorithmic content.
Maria Emilia Alonso, Henri Lombardi, Hervé ...