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Formal verification provides strong guarantees of correctness of software, which are especially important in safety or security critical systems. Hoare logic is a widely used formalism for rigorous verification of software against…

Programming Languages · Computer Science 2021-03-11 Jayaraj Poroor

Dynamically typed object-oriented languages enable programmers to write elegant, reusable and extensible programs. However, with the current methodology for program verification, the absence of static type information creates significant…

Programming Languages · Computer Science 2015-01-13 Björn Engelmann , Ernst-Rüdiger Olderog , Nils Erik Flick

We present a Hoare logic that extends program specifications with regular expressions that capture behaviors in terms of sequences of events that arise during the execution. The idea is similar to session types or process-like behavioral…

Logic in Computer Science · Computer Science 2022-05-16 Gidon Ernst , Alexander Knapp , Toby Murray

Hoare logic is a foundation of axiomatic semantics of classical programs and it provides effective proof techniques for reasoning about correctness of classical programs. To offer similar techniques for quantum program verification and to…

Quantum Physics · Physics 2009-06-26 Mingsheng Ying

Hoare-style verification provides a principled foundation for reasoning about the correctness of quantum programs, but existing approaches do not allow fully automatic verification. While automata-based verification scales well when…

Logic in Computer Science · Computer Science 2026-05-08 Wei-Lun Tsai , Yu-Fang Chen , Ondřej Lengál

Hoare logics are proof systems that allow one to formally establish properties of computer programs. Traditional Hoare logics prove properties of individual program executions (such as functional correctness). Hoare logic has been…

Logic in Computer Science · Computer Science 2024-04-12 Thibault Dardinier , Peter Müller

Higher-order functions and imperative states are language features supported by many mainstream languages. Their combination is expressive and useful, but complicates specification and reasoning, due to the use of yet-to-be-instantiated…

Programming Languages · Computer Science 2024-07-03 Darius Foo , Yahui Song , Wei-Ngan Chin

Deductive verification techniques based on program logics (i.e., the family of Floyd-Hoare logics) are a powerful approach for program reasoning. Recently, there has been a trend of increasing the expressive power of such logics by…

Logic in Computer Science · Computer Science 2021-01-27 Marco Gaboardi , Shin-ya Katsumata , Dominic Orchard , Tetsuya Sato

We propose a general framework to allow: (a) specifying the operational semantics of a programming language; and (b) stating and proving properties about program correctness. Our framework is based on a many-sorted system of hybrid modal…

Logic in Computer Science · Computer Science 2025-12-01 Ioana Leustean , Natalia Moanga , Traian Florin Serbanuta

We study transformational program logics for correctness and incorrectness that we extend to explicitly handle both termination and nontermination. We show that the logics are abstract interpretations of the right image transformer for a…

Logic in Computer Science · Computer Science 2023-11-27 Patrick Cousot

Separation Logic is an effective Program Logic for proving programs that involve pointers. Reasoning with pointers becomes difficult especially when there is aliasing arising due to several pointers to a given cell location. In this paper,…

Logic in Computer Science · Computer Science 2017-04-07 Abhishek Kr Singh , Raja Natrajan

Verifying a real-world program's functional correctness can be decomposed into (1) a refinement proof showing that the program implements a more abstract high-level program and (2) an algorithm correctness proof at the high level.…

Programming Languages · Computer Science 2025-08-22 Shushu Wu , Xiwei Wu , Qinxiang Cao

Binary-level pointer analysis can be of use in symbolic execution, testing, verification, and decompilation of software binaries. In various such contexts, it is crucial that the result is trustworthy, i.e., it can be formally established…

Software Engineering · Computer Science 2025-01-30 Freek Verbeek , Ali Shokri , Daniel Engel , Binoy Ravindran

We propose a simple imperative programming language, ERC, that features arbitrary real numbers as primitive data type, exactly. Equipped with a denotational semantics, ERC provides a formal programming language-theoretic foundation to the…

Intrinsic definitional interpreters, definitional interpreters that operate on typing derivations instead of abstract syntax trees, have recently been studied as a promising methodology for defining dynamic semantics of programming…

Programming Languages · Computer Science 2026-05-06 Ke Sun , Di Wang , Yuyan Bao , Meng Wang , Dan Hao

Following Hoare's seminal invention, now called Hoare logic, to reason about correctness of computer programs, we advocate a related but fundamentally different approach to reason about access security of computer programs such as access…

Logic in Computer Science · Computer Science 2026-04-01 Arnold Beckmann , Anton Setzer

Previously, gradual verification has been developed using overapproximating logics such as Hoare logic. We show that the static verification component of gradual verification is also connected to underapproximating logics like incorrectness…

Logic in Computer Science · Computer Science 2024-12-03 Conrad Zimmerman , Jenna DiVincenzo

Relational descriptions have been used in formalizing diverse computational notions, including, for example, operational semantics, typing, and acceptance by non-deterministic machines. We therefore propose a (restricted) logical theory…

Logic in Computer Science · Computer Science 2010-09-02 Andrew Gacek , Dale Miller , Gopalan Nadathur

In systems verification we are often concerned with multiple, inter-dependent properties that a program must satisfy. To prove that a program satisfies a given property, the correctness of intermediate states of the program must be…

Logic in Computer Science · Computer Science 2024-10-23 Danielle Matichuk

We advocate a declarative approach to proving properties of logic programs. Total correctness can be separated into correctness, completeness and clean termination; the latter includes non-floundering. Only clean termination depends on the…

Logic in Computer Science · Computer Science 2011-10-25 W. Drabent , M. Milkowska
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