SSA Translation Is an Abstract Interpretation

Static single assignment (SSA) form is a popular intermediate representation that helps implement useful static analyses, including global value numbering (GVN), sparse dataflow analyses, or SMT-based abstract interpretation or model checking. However, the precision of the SSA translation itself dep...

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Vydáno v:	Proceedings of ACM on programming languages Ročník 7; číslo POPL; s. 1895 - 1924
Hlavní autor:	Lemerre, Matthieu
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York, NY, USA ACM 09.01.2023
Edice:	POPL 2023 - the 50th ACM SIGPLAN Symposium on Principles of Programming Languages
Témata:	Abstraction Compilers Computer Science Equational logic and rewriting Formal software verification Program analysis Program verification Programming Languages Software and its engineering Theory of computation Static Single Assignment (SSA) Cyclic term graph Abstract interpretation Theory of computation → Program analysis Formal software verification CCS Concepts: • Software and its engineering → Compilers Abstraction Program verification Equational logic and rewriting Static Single Assignment (SSA)
ISSN:	2475-1421, 2475-1421
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Abstract	Static single assignment (SSA) form is a popular intermediate representation that helps implement useful static analyses, including global value numbering (GVN), sparse dataflow analyses, or SMT-based abstract interpretation or model checking. However, the precision of the SSA translation itself depends on static analyses, and a priori static analysis is even indispensable in the case of low-level input languages like machine code. To solve this chicken-and-egg problem, we propose to turn the SSA translation into a standard static analysis based on abstract interpretation. This allows the SSA translation to be combined with other static analyses in a single pass, taking advantage of the fact that it is more precise to combine analyses than applying passes in sequence. We illustrate the practicality of these results by writing a simple dataflow analysis that performs SSA translation, optimistic global value numbering, sparse conditional constant propagation, and loop-invariant code motion in a single small pass; and by presenting a multi-language static analyzer for both C and machine code that uses the SSA abstract domain as its main intermediate representation.
AbstractList	Static single assignment (SSA) form is a popular intermediate representation that helps implement useful static analyses, including global value numbering (GVN), sparse dataflow analyses, or SMT-based abstract interpretation or model checking. However, the precision of the SSA translation itself depends on static analyses, and a priori static analysis is even indispensable in the case of low-level input languages like machine code. To solve this chicken-and-egg problem, we propose to turn the SSA translation into a standard static analysis based on abstract interpretation. This allows the SSA translation to be combined with other static analyses in a single pass, taking advantage of the fact that it is more precise to combine analyses than applying passes in sequence. We illustrate the practicality of these results by writing a simple dataflow analysis that performs SSA translation, optimistic global value numbering, sparse conditional constant propagation, and loop-invariant code motion in a single small pass; and by presenting a multi-language static analyzer for both C and machine code that uses the SSA abstract domain as its main intermediate representation. Static single assignment (SSA) form is a popular intermediate representation that helps implement useful static analyses, including global value numbering (GVN), sparse dataflow analyses, or SMT-based abstract interpretation or model checking. However, the precision of the SSA translation itself depends on static analyses, and a priori static analysis is even indispensable in the case of low-level input languages like machine code. To solve this chicken-and-egg problem, we propose to turn the SSA translation into a standard static analysis based on abstract interpretation. This allows the SSA translation to be combined with other static analyses in a single pass, taking advantage of the fact that it is more precise to combine analyses than applying passes in sequence. We illustrate the practicality of these results by writing a simple dataflow analysis that performs SSA translation, optimistic global value numbering, sparse conditional constant propagation, and loop-invariant code motion in a single small pass; and by presenting a multi-language static analyzer for both C and machine code that uses the SSA abstract domain as its main intermediate representation.
ArticleNumber	65
Author	Lemerre, Matthieu
Author_xml	– sequence: 1 givenname: Matthieu orcidid: 0000-0002-1081-0467 surname: Lemerre fullname: Lemerre, Matthieu email: matthieu.lemerre@cea.fr organization: Université Paris-Saclay - CEA LIST, France
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Keywords	Static Single Assignment (SSA) Cyclic term graph Abstract interpretation Theory of computation → Program analysis Formal software verification CCS Concepts: • Software and its engineering → Compilers Abstraction Program verification Equational logic and rewriting Static Single Assignment (SSA)
Language	English
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Snippet	Static single assignment (SSA) form is a popular intermediate representation that helps implement useful static analyses, including global value numbering...
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SubjectTerms	Abstraction Compilers Computer Science Equational logic and rewriting Formal software verification Program analysis Program verification Programming Languages Software and its engineering Theory of computation
SubjectTermsDisplay	Software and its engineering -- Compilers Software and its engineering -- Formal software verification Theory of computation -- Abstraction Theory of computation -- Equational logic and rewriting Theory of computation -- Program analysis Theory of computation -- Program verification
Title	SSA Translation Is an Abstract Interpretation
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