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Many natural program correctness properties can be stated in terms of symmetries, but existing formal methods have little support for reasoning about such properties. We consider how to formally verify a broad class of symmetry properties…

Programming Languages · Computer Science 2025-09-04 Vaibhav Mehta , Justin Hsu

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

In this paper we propose a framework for combining Disjunctive Logic Programming and Poole's Probabilistic Horn Abduction. We use the concept of hypothesis to specify the probability structure. We consider the case in which probabilistic…

Artificial Intelligence · Computer Science 2013-02-18 Liem Ngo

I formulate the problem of closing the detection loophole as a constrained optimization problem. Numerical methods can then be used to maximize the detector efficiency subject to the constraint that there exists a local realist explanation…

Quantum Physics · Physics 2008-05-06 James H. Bigelow

In this work, we study the fully automated inference of expected result values of probabilistic programs in the presence of natural programming constructs such as procedures, local variables and recursion. While crucial, capturing these…

Programming Languages · Computer Science 2023-04-26 Martin Avanzini , Georg Moser , Michael Schaper

A new logic for verification of security policies is proposed. The logic, HyperLTL, extends linear-time temporal logic (LTL) with connectives for explicit and simultaneous quantification over multiple execution paths, thereby enabling…

Logic in Computer Science · Computer Science 2013-07-10 Masoud Koleini , Michael R. Clarkson , Kristopher K. Micinski

Hypersafety properties of arity $n$ are program properties that relate $n$ traces of a program (or, more generally, traces of $n$ programs). Classic examples include determinism, idempotence, and associativity. A number of relational…

Programming Languages · Computer Science 2022-10-31 Emanuele D'Osualdo , Azadeh Farzan , Derek Dreyer

Modern functional-logic programming languages like Toy or Curry feature non-strict non-deterministic functions that behave under call-time choice semantics. A standard formulation for this semantics is the CRWL logic, that specifies a proof…

Logic in Computer Science · Computer Science 2009-08-05 Francisco López Fraguas , Stephan Merz , Juan Rodríguez Hortalá

A $\lambda$-calculus is introduced in which all programs can be evaluated in probabilistic polynomial time and in which there is sufficient structure to represent sequential cryptographic constructions and adversaries for them, even when…

Programming Languages · Computer Science 2024-10-24 Ugo Dal Lago , Zeinab Galal , Giulia Giusti

Accessing longitudinal multimodal Electronic Healthcare Records (EHRs) is challenging due to privacy concerns, which hinders the use of ML for healthcare applications. Synthetic EHRs generation bypasses the need to share sensitive real…

Computation and Language · Computer Science 2022-11-04 Zifeng Wang , Jimeng Sun

The field of probabilistic logic programming (PLP) focuses on integrating probabilistic models into programming languages based on logic. Over the past 30 years, numerous languages and frameworks have been developed for modeling, inference…

Artificial Intelligence · Computer Science 2024-02-22 Vincent Derkinderen , Robin Manhaeve , Pedro Zuidberg Dos Martires , Luc De Raedt

A grammar formalism based upon CHR is proposed analogously to the way Definite Clause Grammars are defined and implemented on top of Prolog. These grammars execute as robust bottom-up parsers with an inherent treatment of ambiguity and a…

Computation and Language · Computer Science 2007-05-23 Henning Christiansen

Differential privacy is a de facto standard in data privacy with applications in the private and public sectors. Most of the techniques that achieve differential privacy are based on a judicious use of randomness. However, reasoning about…

Programming Languages · Computer Science 2020-07-29 Gian Pietro Farina , Stephen Chong , Marco Gaboardi

Human reliability analysis (HRA) is crucial for evaluating and improving the safety of complex systems. Recent efforts have focused on estimating human error probability (HEP), but existing methods often rely heavily on expert…

Computation and Language · Computer Science 2024-12-30 Xingyu Xiao , Peng Chen , Ben Qi , Hongru Zhao , Jingang Liang , Jiejuan Tong , Haitao Wang

Probabilistic programming combines general computer programming, statistical inference, and formal semantics to help systems make decisions when facing uncertainty. Probabilistic programs are ubiquitous, including having a significant…

Logic in Computer Science · Computer Science 2024-09-30 Kangfeng Ye , Jim Woodcock , Simon Foster

Separation logics are a family of extensions of Hoare logic for reasoning about programs that mutate memory. These logics are "abstract" because they are independent of any particular concrete memory model. Their assertion languages, called…

Logic in Computer Science · Computer Science 2013-11-27 Zhe Hou , Ranald Clouston , Rajeev Gore , Alwen Tiu

This paper presents a quantitative program verification infrastructure for discrete probabilistic programs. Our infrastructure can be viewed as the probabilistic analogue of Boogie: its central components are an intermediate verification…

Programming Languages · Computer Science 2023-11-16 Philipp Schröer , Kevin Batz , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja

We introduce an extension of first-order logic that comes equipped with additional predicates for reasoning about an abstract state. Sequents in the logic comprise a main formula together with pre- and postconditions in the style of Hoare…

Logic in Computer Science · Computer Science 2024-08-07 Thomas Powell

We present a logical framework for the verification of relational properties in imperative programs. Our work is motivated by relational properties which come from security applications and often require reasoning about formulas with…

Logic in Computer Science · Computer Science 2019-08-13 Gilles Barthe , Renate Eilers , Pamina Georgiou , Bernhard Gleiss , Laura Kovacs , Matteo Maffei

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