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» A Natural Counting of Lambda Terms
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CORR
2010
Springer
180views Education» more  CORR 2010»
13 years 5 months ago
A Meta-Programming Approach to Realizing Dependently Typed Logic Programming
Dependently typed lambda calculi such as the Logical Framework (LF) can encode relationships between terms in types and can naturally capture correspondences between formulas and ...
Zachary Snow, David Baelde, Gopalan Nadathur
JAR
2006
71views more  JAR 2006»
13 years 4 months ago
Mathematical Induction in Otter-Lambda
Otter-lambda is Otter modified by adding code to implement an algorithm for lambda unification. Otter is a resolution-based, clause-language first-order prover that accumulates de...
Michael Beeson
ESOP
2012
Springer
12 years 16 days ago
The Call-by-Need Lambda Calculus, Revisited
The existing call-by-need λ calculi describe lazy evaluation via equational logics. A programmer can use these logics to safely ascertain whether one term is behaviorally equivale...
Stephen Chang, Matthias Felleisen
CORR
2010
Springer
151views Education» more  CORR 2010»
13 years 5 months ago
Redundancies in Dependently Typed Lambda Calculi and Their Relevance to Proof Search
Dependently typed -calculi such as the Logical Framework (LF) are capable of representing relationships between terms through types. By exploiting the "formulas-as-types"...
Zachary Snow, David Baelde, Gopalan Nadathur
ESOP
2001
Springer
13 years 9 months ago
Proof-Directed De-compilation of Low-Level Code
Abstract. We present a proof theoretical method for de-compiling lowlevel code to the typed lambda calculus. We first define a proof system for a low-level code language based on...
Shin-ya Katsumata, Atsushi Ohori