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Most modern (classical) programming languages support recursion. Recursion has also been successfully applied to the design of several quantum algorithms and introduced in a couple of quantum programming languages. So, it can be expected…

Logic in Computer Science · Computer Science 2021-07-27 Zhaowei Xu , Mingsheng Ying , Benoît Valiron

Formal verification of strategic abilities is a hard problem. We propose to use the methodology of assume-guarantee reasoning in order to facilitate model checking of alternating-time temporal logic with imperfect information and imperfect…

Logic in Computer Science · Computer Science 2023-10-25 Łukasz Mikulski , Wojciech Jamroga , Damian Kurpiewski

Recently, authors have proposed under-approximate logics for reasoning about programs. So far, all such logics have been confined to reasoning about individual program behaviours. Yet there exist many over-approximate relational logics for…

Logic in Computer Science · Computer Science 2020-03-12 Toby Murray

Rely-guarantee (RG) is a highly influential compositional proof technique for concurrent programs, which was originally developed assuming a sequentially consistent shared memory. In this paper, we first generalize RG to make it parametric…

Programming Languages · Computer Science 2026-05-08 Ori Lahav , Brijesh Dongol , Heike Wehrheim

Inspired by the trend on unifying theories of programming, this paper shows how the algebraic treatment of standard data dependency theory equips relational data with functional types and an associated type system which is useful for type…

Logic in Computer Science · Computer Science 2012-10-18 Jose N. Oliveira

We present a process algebra based approach to formalize the interactions of computing devices such as the representation of policies and the resolution of conflicts. As an example we specify how promises may be used in coming to an…

Logic in Computer Science · Computer Science 2007-07-06 Jan Bergstra , Inge Bethke , Mark Burgess

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

In most presentations of ACP with guarded recursion, recursive specifications are finite or infinite sets of recursion equations of which the right-hand sides are guarded terms. The completeness with respect to bisimulation equivalence of…

Logic in Computer Science · Computer Science 2020-05-05 R. J. van Glabbeek , C. A. Middelburg

In this paper, we present a probabilistic adaptation of an Assume/Guarantee contract formalism. For the sake of generality, we assume that the extended state machines used in the contracts and implementations define sets of runs on a given…

Performance · Computer Science 2009-04-20 Benoît Delahaye , Benoît Caillaud

Process algebra ACP based on the interleaving semantics can not be reversed. We design a reversible version of APTC called RAPTC. It has algebraic laws of reversible choice, sequence, parallelism, communication, silent step and abstraction,…

Logic in Computer Science · Computer Science 2018-05-03 Yong Wang

In a previous paper, we presented several extensions of ACP with conditional expressions, including one with a retrospection operator on conditions to allow for looking back on conditions under which preceding actions have been performed.…

Logic in Computer Science · Computer Science 2012-04-17 J. A. Bergstra , C. A. Middelburg

Using formal tools in computer science to describe games is an interesting problem. We give games, exactly two person games, an axiomatic foundation based on the process algebra ACP (Algebra of Communicating Process). A fresh operator…

Logic in Computer Science · Computer Science 2019-05-09 Yong Wang

Model checking of strategic abilities is a notoriously hard problem, even more so in the realistic case of agents with imperfect information. Assume-guarantee reasoning can be of great help here, providing a way to decompose the complex…

Multiagent Systems · Computer Science 2023-10-25 Łukasz Mikulski , Wojciech Jamroga , Damian Kurpiewski

In relational verification, judicious alignment of computational steps facilitates proof of relations between programs using simple relational assertions. Relational Hoare logics (RHL) provide compositional rules that embody various…

Logic in Computer Science · Computer Science 2025-11-12 Ramana Nagasamudram , Anindya Banerjee , David A. Naumann

The objective of this paper is to present general, mechanically verified, refinement rules for reasoning about recursive programs and while loops in the context of concurrency. Unlike many approaches to concurrency, we do not assume that…

Logic in Computer Science · Computer Science 2025-12-09 Ian J. Hayes , Larissa A. Meinicke , Cliff B. Jones

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

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

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

We discuss the deal of imperfectness of atomic actions in reality with the background of process algebras. And we show the applications of the imperfect actions in verification of computational systems.

Logic in Computer Science · Computer Science 2023-06-14 Yong Wang

Specifications of significant systems can be made short and perspicuous by using abstract data types; data reification can provide a clear, stepwise, development history of programs that use more efficient concrete representations. Data…

Logic in Computer Science · Computer Science 2024-05-10 Larissa A. Meinicke , Ian J. Hayes , Cliff B. Jones