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In this paper we will see deductive systems for classical propositional and predicate logic in the calculus of structures. Like sequent systems, they have a cut rule which is admissible. In addition, they enjoy a top-down symmetry and some…

Logic · Mathematics 2009-09-29 Kai Bruennler

We present Coneris, the first higher-order concurrent separation logic for reasoning about error probability bounds of higher-order concurrent probabilistic programs with higher-order state. To support modular reasoning about concurrent…

Logic in Computer Science · Computer Science 2025-08-08 Kwing Hei Li , Alejandro Aguirre , Simon Oddershede Gregersen , Philipp G. Haselwarter , Joseph Tassarotti , Lars Birkedal

Properties such as provable security and correctness for randomized programs are naturally expressed relationally as approximate equivalences. As a result, a number of relational program logics have been developed to reason about such…

Logic in Computer Science · Computer Science 2024-12-04 Philipp G. Haselwarter , Kwing Hei Li , Alejandro Aguirre , Simon Oddershede Gregersen , Joseph Tassarotti , Lars Birkedal

We introduce a logical framework for the specification and verification of component-based systems, in which finitely many component instances are active, but the bound on their number is not known. Besides specifying and verifying…

Logic in Computer Science · Computer Science 2019-08-30 Marius Bozga , Radu Iosif , Joseph Sifakis

Some approaches to increasing program reliability involve a disciplined use of programming languages so as to minimise the hazards introduced by error-prone features. This is realised by writing code that is constrained to a subset of the a…

Programming Languages · Computer Science 2007-11-06 Guillem Marpons-Ucero , Julio Mariño , Ángel Herranz , Lars-Åke Fredlund , Manuel Carro , Juan José Moreno-Navarro

Logical frameworks based on intuitionistic or linear logics with higher-type quantification have been successfully used to give high-level, modular, and formal specifications of many important judgments in the area of programming languages…

Logic in Computer Science · Computer Science 2007-05-23 Raymond C. McDowell , Dale A. Miller

We present a static analysis technique for non-termination inference of logic programs. Our framework relies on an extension of the subsumption test, where some specific argument positions can be instantiated while others are generalized.…

Programming Languages · Computer Science 2007-05-23 Etienne Payet , Fred Mesnard

We introduce a generalized logic programming paradigm where programs, consisting of facts and rules with the usual syntax, can be enriched by co-facts, which syntactically resemble facts but have a special meaning. As in coinductive logic…

Programming Languages · Computer Science 2017-09-26 Davide Ancona , Francesco Dagnino , Elena Zucca

Logical inference algorithms for conditional independence (CI) statements have important applications from testing consistency during knowledge elicitation to constraintbased structure learning of graphical models. We prove that the…

Artificial Intelligence · Computer Science 2012-05-14 Mathias Niepert

Execution of concurrent programs implies frequent switching between different thread contexts. This property perplexes analyzing and reasoning about concurrent programs. Trace simplification is a technique that aims at alleviating this…

Software Engineering · Computer Science 2014-05-20 Mohamed A. El-Zawawy , Mohammad N. Alanazi

Whereas an extension with non-interference of Hoare logic for sequential programs Owicki--Gries logic ensures the correctness of concurrent programs on strict consistency, it is unsound to weak memory models adopted by modern computer…

Logic in Computer Science · Computer Science 2026-02-17 Tatsuya Abe

The goal of inductive logic programming (ILP) is to search for a hypothesis that generalises training examples and background knowledge (BK). To improve performance, we introduce an approach that, before searching for a hypothesis, first…

Machine Learning · Computer Science 2022-12-06 Andrew Cropper , Céline Hocquette

Modern program verifiers use logic-based encodings of the verification problem that are discharged by a back end reasoning engine. However, instances of such encodings for large programs can quickly overwhelm these back end solvers. Hence,…

Logic in Computer Science · Computer Science 2016-07-18 Peter Schrammel

Artificial Intelligence has gained a lot of traction in the recent years, with machine learning notably starting to see more applications across a varied range of fields. One specific machine learning application that is of interest to us…

Software Engineering · Computer Science 2023-05-10 Teodor Rares Begu

The semantics of assignment and mutual exclusion in concurrent and multi-core/multi-processor systems is presented with attention to low level architectural features in an attempt to make the presentation realistic. Recursive functions on…

Discrete Mathematics · Computer Science 2008-10-09 Victor Yodaiken

Automatic differentiation plays a prominent role in scientific computing and in modern machine learning, often in the context of powerful programming systems. The relation of the various embodiments of automatic differentiation to the…

Programming Languages · Computer Science 2020-02-04 Martin Abadi , Gordon D. Plotkin

Predicate intuitionistic logic is a well established fragment of dependent types. According to the Curry-Howard isomorphism proof construction in the logic corresponds well to synthesis of a program the type of which is a given formula. We…

Logic in Computer Science · Computer Science 2016-08-22 Maciej Zielenkiewicz , Aleksy Schubert

Contextual refinement and separation logics are successful verification techniques that are very different in nature. First, the former guarantees behavioral refinement between a concrete program and an abstract program while the latter…

Programming Languages · Computer Science 2021-09-08 Youngju Song , Minki Cho , Dongjae Lee , Chung-Kil Hur

Verification problems of programs written in various paradigms (such as imperative, logic, concurrent, functional, and object-oriented ones) can be reduced to problems of solving Horn clause constraints on predicate variables that represent…

Programming Languages · Computer Science 2016-10-24 Hiroshi Unno , Sho Torii

This paper suggests a [email protected] of composable specification of concurrent programs that permits: (1) verification of program code for a given specification, and (2) composition of the specifications of the components to yield…

Programming Languages · Computer Science 2017-04-07 Jayadev Misra