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Static analyses overwhelmingly trade precision for soundness and automation. For this reason, their use-cases are restricted to situations where imprecision isn't prohibitive. In this paper, we propose and specify a static analysis that…

Programming Languages · Computer Science 2026-02-10 Abdullah H. Rasheed

We define an extension of predicate logic, called Binding Logic, where variables can be bound in terms and in propositions. We introduce a notion of model for this logic and prove a soundness and completeness theorem for it. This theorem is…

Logic in Computer Science · Computer Science 2023-05-26 Gilles Dowek , Thérèse Hardin , Claude Kirchner

We present a comprehensive programme analysing the decomposition of proof systems for non-classical logics into proof systems for other logics, especially classical logic, using an algebra of constraints. That is, one recovers a proof…

Logic in Computer Science · Computer Science 2023-10-20 Alexander V. Gheorghiu , David J. Pym

We present new proofs of termination of evaluation in reduction semantics (i.e., a small-step operational semantics with explicit representation of evaluation contexts) for System F with control operators. We introduce a modified version of…

Programming Languages · Computer Science 2013-09-06 Małgorzata Biernacka , Dariusz Biernacki , Sergueï Lenglet , Marek Materzok

It is well known that, under certain conditions, it is possible to split logic programs under stable model semantics, i.e. to divide such a program into a number of different "levels", such that the models of the entire program can be…

Artificial Intelligence · Computer Science 2007-05-23 Joost Vennekens , David Gilis , Marc Denecker

Mechanized verification of liveness properties for infinite programs with effects and nondeterminism is challenging. Existing temporal reasoning frameworks operate at the level of models such as traces and automata. Reasoning happens at a…

Programming Languages · Computer Science 2025-08-22 Eleftherios Ioannidis , Yannick Zakowski , Steve Zdancewic , Sebastian Angel

Increasing the success rate of a process, i.e. the percentage of cases that end in a positive outcome, is a recurrent process improvement goal. At runtime, there are often certain actions (a.k.a. treatments) that workers may execute to lift…

Machine Learning · Computer Science 2023-03-08 Zahra Dasht Bozorgi , Marlon Dumas , Marcello La Rosa , Artem Polyvyanyy , Mahmoud Shoush , Irene Teinemaa

Numerical software are widely used in safety-critical systems such as aircrafts, satellites, car engines and so on, facilitating dynamics control of such systems in real time, it is therefore absolutely necessary to verify their…

Optimization and Control · Mathematics 2018-10-30 Bai Xue , Naijun Zhan , Yangjia Li , Qiuye Wang

Program correctness (in imperative and functional programming) splits in logic programming into correctness and completeness. Completeness means that a program produces all the answers required by its specification. Little work has been…

Logic in Computer Science · Computer Science 2014-11-13 Wlodzimierz Drabent

We describe the Amber tool for proving and refuting the termination of a class of probabilistic while-programs with polynomial arithmetic, in a fully automated manner. Amber combines martingale theory with properties of asymptotic bounding…

Programming Languages · Computer Science 2021-07-29 Marcel Moosbrugger , Ezio Bartocci , Joost-Pieter Katoen , Laura Kovács

Reversible debugging is becoming increasingly popular for locating the source of errors. This technique proposes a more natural approach to debugging, where one can explore a computation from the observable misbehaviour backwards to the…

Programming Languages · Computer Science 2022-06-22 Germán Vidal

In this paper the reversibility of executable Interval Temporal Logic (ITL) specifications is investigated. ITL allows for the reasoning about systems in terms of behaviours which are represented as non-empty sequences of states. It allows…

Formal Languages and Automata Theory · Computer Science 2021-07-12 Antonio Cau , Stefan Kuhn , James Hoey

Separation Logic (SL) with inductive definitions is a natural formalism for specifying complex recursive data structures, used in compositional verification of programs manipulating such structures. The key ingredient of any automated…

Logic in Computer Science · Computer Science 2014-02-12 Radu Iosif , Adam Rogalewicz , Tomas Vojnar

Program equivalence is the fulcrum for reasoning about and proving properties of programs. For noninterference, for example, program equivalence up to the secrecy level of an observer is shown. A powerful enabler for such proofs are logical…

Programming Languages · Computer Science 2022-08-31 Farzaneh Derakhshan , Stephanie Balzer

Algorithms are commonly used to predict outcomes under a particular decision or intervention, such as predicting whether an offender will succeed on parole if placed under minimal supervision. Generally, to learn such counterfactual…

Machine Learning · Statistics 2021-04-19 Amanda Coston , Edward H. Kennedy , Alexandra Chouldechova

Contracts specifying a procedure's behavior in terms of pre- and postconditions are essential for scalable software verification, but cannot express any constraints on the events occurring during execution of the procedure. This…

Software Engineering · Computer Science 2022-11-22 Richard Bubel , Dilian Gurov , Reiner Hähnle , Marco Scaletta

We present an affine-intuitionistic system of types and effects which can be regarded as an extension of Barber-Plotkin Dual Intuitionistic Linear Logic to multi-threaded programs with effects. In the system, dynamically generated values…

Logic in Computer Science · Computer Science 2010-05-20 Roberto Amadio , Patrick Baillot , Antoine Madet

We present an affine-intuitionistic system of types and effects which can be regarded as an extension of Barber-Plotkin Dual Intuitionistic Linear Logic to multi-threaded programs with effects. In the system, dynamically generated values…

Logic in Computer Science · Computer Science 2009-12-03 Roberto Amadio , Patrick Baillot , Antoine Madet

We investigate the interplay between a modality for controlling the behaviour of recursive functional programs on infinite structures which are completely silent in the syntax. The latter means that programs do not contain "marks" showing…

Logic in Computer Science · Computer Science 2023-06-22 Paula Severi

This paper revisits the problem of determinacy inference addressing the problem of how to uniformly handle cut. To this end a new semantics is introduced for cut, which is abstracted to systematically derive a backward analysis that derives…

Programming Languages · Computer Science 2011-09-13 Jael Kriener , Andy King