Finiteness Analysis in Polynomial Time

  • Chin Soon Lee
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2477)


To achieve the termination of offline partial evaluation, it is necessary to ensure that static variables assume boundedly many values during specialization. Various works have addressed the analysis of variable boundedness, also called finiteness analysis, in the context of specializing first-order functional programs. The underlying reasoning is always: Unbounded sequences of increases in a static variable must be impossible, if they would give rise to unbounded sequences of size-decreases for some bounded-variable values.

Static analysis is used to collect a set of bipartite graphs that describe the parameter dependencies and data size changes in possible state transitions of the specializer (operating on the program). We capture the reasoning above as a condition on the graphs. This condition is decid-able, but complete for pspace. We therefore derive a polynomial-time approximation, by considering realistic parameter size-change behaviour.


Polynomial Time Bipartite Graph Bounded Variable Dependency Graph Partial Evaluation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Chin Soon Lee
    • 1
  1. 1.Datalogisk InstitutCopenhagen UniversityDenmark

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