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Quantum computations are expressed in general as quantum circuits, which are specified by ordered lists of quantum gates. The resulting specifications are used during the optimisation and execution of the expressed computations. However,…

Quantum Physics · Physics 2018-08-08 Alexandru Paler , Simon J. Devitt

As deep neural models in NLP become more complex, and as a consequence opaque, the necessity to interpret them becomes greater. A burgeoning interest has emerged in rationalizing explanations to provide short and coherent justifications for…

Computation and Language · Computer Science 2024-05-21 Neema Kotonya , Francesca Toni

Configuring consists in simulating the realization of a complex product from a catalog of component parts, using known relations between types, and picking values for object attributes. This highly combinatorial problem in the field of…

Artificial Intelligence · Computer Science 2007-05-23 Stephane Grandcolas , Laurent Henocque , Nicolas Prcovic

The ever-growing complexity of mathematical proofs makes their manual verification by mathematicians very cognitively demanding. Autoformalization seeks to address this by translating proofs written in natural language into a formal…

Computation and Language · Computer Science 2023-01-06 Garett Cunningham , Razvan C. Bunescu , David Juedes

The algebraic properties of the combination of probabilistic choice and nondeterministic choice have long been a research topic in program semantics. This paper explains a formalization in the Coq proof assistant of a monad equipped with…

Logic in Computer Science · Computer Science 2023-12-12 Reynald Affeldt , Jacques Garrigue , David Nowak , Takafumi Saikawa

Exact real computation is an alternative to floating-point arithmetic where operations on real numbers are performed exactly, without the introduction of rounding errors. When proving the correctness of an implementation, one can focus…

Logic in Computer Science · Computer Science 2024-10-22 Michal Konečný , Sewon Park , Holger Thies

Functional specifications describe what program components do: the sufficient conditions to invoke a component's operations. They allow us to reason about the use of components in the closed world setting, where the component interacts with…

Programming Languages · Computer Science 2020-02-20 Sophia Drossopoulou , James Noble , Julian Mackay , Susan Eisenbach

Computer systems can be found everywhere: in space, in our homes, in our cars, in our pockets, and sometimes even in our own bodies. For concerns of safety, economy, and convenience, it is important that such systems work correctly.…

Logic in Computer Science · Computer Science 2019-05-22 Mathias Ruggaard Pedersen

Formal verification has been successfully developed in computer science for verifying combinatorial classes of models and specifications. In like manner, formal verification methods have been developed for dynamical systems. However, the…

Systems and Control · Computer Science 2013-08-27 Rafael Wisniewski

Logical specifications are widely used to represent software systems and their desired properties. Under system degradation or environmental changes, commonly seen in complex real-world robotic systems, these properties may no longer hold…

Logic in Computer Science · Computer Science 2025-10-20 Ben M. Andrew

The draft paper defines a system, which is capable of maintaining bases of test cases for logical specifications. The specifications, which are subject to this system are transformed from their original shape in first-order logic to…

Software Engineering · Computer Science 2010-02-04 Andreas Faatz , Andreas Zinnen

A desired but challenging property of compiler verification is compositionality, in the sense that the compilation correctness of a program can be deduced incrementally from that of its substructures ranging from statements, functions, and…

Programming Languages · Computer Science 2026-03-31 Zhang Cheng , Jiyang Wu , Di Wang , Qinxiang Cao

Most modern formalisms used in Databases and Artificial Intelligence for describing an application domain are based on the notions of class (or concept) and relationship among classes. One interesting feature of such formalisms is the…

Artificial Intelligence · Computer Science 2009-09-25 G. DeGiacomo , M. Lenzerini

Early stages of system development involve outlining desired features such as functionality, availability, or usability. Specifications are derived from these features that concretize vague ideas presented in natural languages. The…

Software Engineering · Computer Science 2014-10-09 Rongjie Yan , Chih-Hong Cheng , Guangquan Zhang , Yesheng Chai

Motivated by applications in automated verification of higher-order functional programs, we develop a notion of constrained Horn clauses in higher-order logic and a decision problem concerning their satisfiability. We show that, although…

Programming Languages · Computer Science 2017-08-02 Toby Cathcart Burn , C. -H. Luke Ong , Steven J. Ramsay

Composition technologies improve reuse in the development of large-scale complex systems. Safety critical systems require intensive validation and verification activities. These activities should be compositional in order to reduce the…

Software Engineering · Computer Science 2014-04-04 Mounira Kezadri Hamiaz , Marc Pantel , Benoît Combemale , Xavier Thirioux

If a code base is so big and complicated that complete mechanical verification is intractable, can we still apply and benefit from verification methods? We show that by allowing a deliberate mechanized formalization gap we can shrink and…

Programming Languages · Computer Science 2019-10-28 Antal Spector-Zabusky , Joachim Breitner , Yao Li , Stephanie Weirich

Type-level programming is an increasingly popular way to obtain additional type safety. Unfortunately, it remains a second-class citizen in the majority of industrially-used programming languages. We propose a new dependently-typed system…

Programming Languages · Computer Science 2020-11-17 Georg Stefan Schmid , Olivier Blanvillain , Jad Hamza , Viktor Kunčak

This paper presents a Hoare-style calculus for formal reasoning about reconfiguration programs of distributed systems. Such programs create and delete components and/or interactions (connectors) while the system components change state…

Logic in Computer Science · Computer Science 2022-03-17 Emma Ahrens , Marius Bozga , Radu Iosif , Joost-Pieter Katoen

Refinement types decorate types with assertions that enable automatic verification. Like assertions, refinements are limited to binders that are in scope, and hence, cannot express higher-order specifications. Ghost variables circumvent…

Programming Languages · Computer Science 2021-05-06 Anish Tondwalkar , Matthew Kolosick , Ranjit Jhala