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ENTCS
2008
94views more  ENTCS 2008»
8 years 6 months ago
A Logical Framework with Explicit Conversions
The type theory P corresponds to the logical framework LF. In this paper we present H, a variant of P where convertibility is not implemented by means of the customary conversion ...
Herman Geuvers, Freek Wiedijk
ENTCS
2008
75views more  ENTCS 2008»
8 years 6 months ago
Focusing the Inverse Method for LF: A Preliminary Report
In this paper, we describe a proof-theoretic foundation for bottom-up logic programming based on uniform proofs in the setting of the logical framework LF. We present a forward un...
Brigitte Pientka, Xi Li, Florent Pompigne
BIRTHDAY
2010
Springer
8 years 6 months ago
Programming Inductive Proofs - A New Approach Based on Contextual Types
In this paper, we present an overview to programming with proofs in the reasoning framework, Beluga. Beluga supports the specification of formal systems given by axioms and inferen...
Brigitte Pientka
CADE
1998
Springer
8 years 10 months ago
Automated Theorem Proving in a Simple Meta-Logic for LF
Abstract. Higher-order representation techniques allow elegant encodings of logics and programming languages in the logical framework LF, but unfortunately they are fundamentally i...
Carsten Schürmann, Frank Pfenning
ICLP
2005
Springer
8 years 11 months ago
Small Proof Witnesses for LF
Abstract. We instrument a higher-order logic programming search procedure to generate and check small proof witnesses for the Twelf system, an implementation of the logical framewo...
Susmit Sarkar, Brigitte Pientka, Karl Crary
FLOPS
2010
Springer
9 years 1 months ago
Beluga: Programming with Dependent Types, Contextual Data, and Contexts
The logical framework LF provides an elegant foundation for specifying formal systems and proofs and it is used successfully in a wide range of applications such as certifying code...
Brigitte Pientka
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