Stable relations and abstract interpretation of higher-order programs
We present a novel denotational semantics for the untyped call-by-value λ-calculus, where terms are interpreted as stable relations , i.e. as binary relations between substitutions and values, enjoying a monotonicity property. The denotation captures the input-output behaviour of higher-order progra...
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| Vydané v: | Proceedings of ACM on programming languages Ročník 4; číslo ICFP; s. 1 - 30 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
ACM
02.08.2020
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| Predmet: | |
| ISSN: | 2475-1421, 2475-1421 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | We present a novel denotational semantics for the untyped call-by-value λ-calculus, where terms are interpreted as stable relations , i.e. as binary relations between substitutions and values, enjoying a monotonicity property. The denotation captures the input-output behaviour of higher-order programs, and is proved sound and complete with respect to the operational semantics. The definition also admits a presentation as a program logic. Following the principles of abstract interpretation, we use our denotational semantics as a collecting semantics to derive a modular relational analysis for higher-order programs. The analysis infers equalities between the arguments of a program and its result—a form of frame condition for functional programs. |
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| ISSN: | 2475-1421 2475-1421 |
| DOI: | 10.1145/3409001 |