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» An Introduction to the Lambda Calculus
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CADE
2004
Springer
14 years 5 months ago
Lambda Logic
Lambda logic is the union of first order logic and lambda calculus. We prove basic metatheorems for both total and partial versions of lambda logic. We use lambda logic to state a...
Michael Beeson
RTA
2010
Springer
13 years 8 months ago
Simulation in the Call-by-Need Lambda-Calculus with letrec
This paper shows the equivalence of applicative similarity and contextual approximation, and hence also of bisimilarity and contextual equivalence, in the deterministic call-by-nee...
Manfred Schmidt-Schauß, David Sabel, Elena M...
FUIN
2010
156views more  FUIN 2010»
13 years 3 months ago
A Tutorial Implementation of a Dependently Typed Lambda Calculus
Abstract. We present the type rules for a dependently typed core calculus together with a straightforward implementation in Haskell. We explicitly highlight the changes necessary t...
Andres Löh, Conor McBride, Wouter Swierstra
ICFP
2012
ACM
11 years 7 months ago
Propositions as sessions
Continuing a line of work by Abramsky (1994), by Bellin and Scott (1994), and by Caires and Pfenning (2010), among others, this paper presents CP, a calculus in which propositions...
Philip Wadler
PEPM
1997
ACM
13 years 8 months ago
A Type-directed, On-line, Partial Evaluator for a Polymorphic Language
Recently, Olivier Danvy introduced a new, simple method for implementing powerful partial evaluators, namely typedirected partial evaluation 9 . He introduced a partial evaluator ...
Tim Sheard