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Type-Based Allocation Analysis for Co-recursion in Lazy Functional Languages

  • Pedro Vasconcelos
  • Steffen Jost
  • Mário Florido
  • Kevin Hammond
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9032)

Abstract

This paper presents a novel type-and-effect analysis for predicting upper-bounds on memory allocation costs for co-recursive definitions in a simple lazily-evaluated functional language. We show the soundness of this system against an instrumented variant of Launchbury’s semantics for lazy evaluation which serves as a formal cost model. Our soundness proof requires an intermediate semantics employing indirections. Our proof of correspondence between these semantics that we provide is thus a crucial part of this work.

The analysis has been implemented as an automatic inference system. We demonstrate its effectiveness using several example programs that previously could not be automatically analysed.

Keywords

Cost Model Operational Semantic Functional Programming Proof Obligation Type Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Pedro Vasconcelos
    • 1
  • Steffen Jost
    • 2
  • Mário Florido
    • 1
  • Kevin Hammond
    • 3
  1. 1.LIACC, Universidade do PortoPortoPortugal
  2. 2.Ludwig Maximillians UniversitätMunichGermany
  3. 3.University of St AndrewsSt AndrewsUK

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