Quantitative strongest post: a calculus for reasoning about the flow of quantitative information
We present a novel strongest-postcondition-style calculus for quantitative reasoning about non-deterministic programs with loops. Whereas existing quantitative weakest pre allows reasoning about the value of a quantity after a program terminates on a given initial state, quantitative strongest post...
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| Published in: | Proceedings of ACM on programming languages Vol. 6; no. OOPSLA1; pp. 1 - 29 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
29.04.2022
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| ISSN: | 2475-1421, 2475-1421 |
| Online Access: | Get full text |
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| Summary: | We present a novel strongest-postcondition-style calculus for quantitative reasoning about non-deterministic programs with loops. Whereas existing quantitative weakest pre allows reasoning about the value of a quantity after a program terminates on a given initial state, quantitative strongest post allows reasoning about the value that a quantity had before the program was executed and reached a given final state. We show how strongest post enables reasoning about the flow of quantitative information through programs. Similarly to weakest liberal preconditions, we also develop a quantitative strongest liberal post. As a byproduct, we obtain the entirely unexplored notion of strongest liberal postconditions and show how these foreshadow a potential new program logic - partial incorrectness logic - which would be a more liberal version of O'Hearn's recent incorrectness logic. |
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| ISSN: | 2475-1421 2475-1421 |
| DOI: | 10.1145/3527331 |