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» Proof Terms for Simply Typed Higher Order Logic
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TPHOL
2000
IEEE
13 years 10 months ago
Proof Terms for Simply Typed Higher Order Logic
Abstract. This paper presents proof terms for simply typed, intuitionistic higher order logic, a popular logical framework. Unification-based algorithms for the compression and re...
Stefan Berghofer, Tobias Nipkow
CSL
2002
Springer
13 years 5 months ago
Open Proofs and Open Terms: A Basis for Interactive Logic
In the process of interactive theorem proving one often works with incomplete higher order proofs. In this paper we address the problem of giving a correctness criterion for these ...
Herman Geuvers, Gueorgui I. Jojgov
CADE
2006
Springer
14 years 6 months ago
Eliminating Redundancy in Higher-Order Unification: A Lightweight Approach
In this paper, we discuss a lightweight approach to eliminate the overhead due to implicit type arguments during higher-order unification of dependently-typed terms. First, we show...
Brigitte Pientka
POPL
2010
ACM
14 years 3 months ago
A Relational Modal Logic for Higher-Order Stateful ADTs
The method of logical relations is a classic technique for proving the equivalence of higher-order programs that implement the same observable behavior but employ different intern...
Derek Dreyer, Georg Neis, Andreas Rossberg, Lars B...
ENTCS
2002
129views more  ENTCS 2002»
13 years 5 months ago
Eliminating Proofs from Programs
This paper presents a step in the development of an operational approach to program extraction in type theory. In order to get a program from a lambda term, the logical parts need...
Femke van Raamsdonk, Paula Severi