Minimal Static Single Assignment Form

 

Title: Minimal Static Single Assignment Form
Authors: Max Wagner (max /at/ trollbu /dot/ de) and Denis Lohner
Submission date: 2017-01-17
Abstract:

This formalization is an extension to "Verified Construction of Static Single Assignment Form". In their work, the authors have shown that Braun et al.'s static single assignment (SSA) construction algorithm produces minimal SSA form for input programs with a reducible control flow graph (CFG). However Braun et al. also proposed an extension to their algorithm that they claim produces minimal SSA form even for irreducible CFGs.
In this formalization we support that claim by giving a mechanized proof.

As the extension of Braun et al.'s algorithm aims for removing so-called redundant strongly connected components of phi functions, we show that this suffices to guarantee minimality according to Cytron et al..

BibTeX:
@article{Minimal_SSA-AFP,
  author  = {Max Wagner and Denis Lohner},
  title   = {Minimal Static Single Assignment Form},
  journal = {Archive of Formal Proofs},
  month   = jan,
  year    = 2017,
  note    = {\url{http://isa-afp.org/entries/Minimal_SSA.shtml},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Depends on: Formal_SSA