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Resource Bound Certification for a Tail-Recursive Virtual Machine

  • Silvano Dal Zilio
  • Régis Gascon
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3780)

Abstract

We define a method to statically bound the size of values computed during the execution of a program as a function of the size of its parameters. More precisely, we consider bytecode programs that should be executed on a simple stack machine with support for algebraic data types, pattern-matching and tail-recursion. Our size verification method is expressed as a static analysis, performed at the level of the bytecode, that relies on machine-checkable certificates. We follow here the usual assumption that code and certificates may be forged and should be checked before execution.

Our approach extends a system of static analyses based on the notion of quasi-interpretations that has already been used to enforce resource bounds on first-order functional programs. This paper makes two additional contributions. First, we are able to check optimized programs, containing instructions for unconditional jumps and tail-recursive calls, and remove restrictions on the structure of the bytecode that was imposed in previous works. Second, we propose a direct algorithm that depends only on solving a set of arithmetical constraints.

Keywords

Virtual Machine Proof Obligation Polynomial Expression Java Virtual Machine Branch Instruction 
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 2005

Authors and Affiliations

  • Silvano Dal Zilio
    • 1
  • Régis Gascon
    • 2
  1. 1.LIF, CNRS and Université de ProvenceFrance
  2. 2.LSV, CNRS and ENS CachanFrance

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