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Matching logic is a logical framework for specifying and reasoning about programs using pattern matching semantics. A pattern is made up of a number of structural components and constraints. Structural components are syntactically matched,…

Logic in Computer Science · Computer Science 2024-11-01 Ádám Kurucz , Péter Bereczky , Dániel Horpácsi

Automated analysis of recursive derivations in logic programming is known to be a hard problem. Both termination and non-termination are undecidable problems in Turing-complete languages. However, some declarative languages offer a…

Programming Languages · Computer Science 2016-08-22 E. Komendantskaya , P. Johann , M. Schmidt

We study effects of the physical realization of quantum computers on their logical operation. Through simulation of physical models of quantum computer hardware, we analyse the difficulties that are encountered in programming physical…

Quantum Physics · Physics 2007-05-23 Hans De Raedt , Anthony Hams , Kristel Michielsen , Seiji Miyashita , Keiji Saito

We introduce Clerical, a programming language for exact real-number computation that combines first-order imperative-style programming with a limit operator for computation of real numbers as limits of Cauchy sequences. We address the…

Logic in Computer Science · Computer Science 2024-09-19 Andrej Bauer , Sewon Park , Alex Simpson

The use of formal methods provides confidence in the correctness of developments. Yet one may argue about the actual level of confidence obtained when the method itself -- or its implementation -- is not formally checked. We address this…

Logic in Computer Science · Computer Science 2009-02-24 Eric Jaeger , Catherine Dubois

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

Concolic testing is a popular software verification technique based on a combination of concrete and symbolic execution. Its main focus is finding bugs and generating test cases with the aim of maximizing code coverage. A previous approach…

Logic in Computer Science · Computer Science 2020-09-23 Fred Mesnard , Etienne Payet , German Vidal

Many functional logic languages are based on narrowing, a unification-based goal-solving mechanism which subsumes the reduction mechanism of functional languages and the resolution principle of logic languages. Needed narrowing is an…

Programming Languages · Computer Science 2007-05-23 Maria Alpuente , Michael Hanus , Salvador Lucas , German Vidal

Classical programming languages cannot model essential elements of complex systems such as true random number generation. This paper develops a formal programming language called the lambda-q calculus that addresses the fundamental…

Quantum Physics · Physics 2007-05-23 Philip Maymin

In this paper we consider the problem of certified static checking of module-like constructs of programming languages. We argue that there are algorithms and properties related to modules that can be defined and proven in an abstract way.…

Programming Languages · Computer Science 2017-06-20 Julia Belyakova

Those seeking to reproduce a computational experiment often need to manually look at the code to see how to build necessary libraries, configure parameters, find data, and invoke the experiment; it is not automatic. Automatic…

Software Engineering · Computer Science 2023-07-24 Samuel Grayson , Reed Milewicz , Joshua Teves , Daniel S. Katz , Darko Marinov

Effectful programs interact in ways that go beyond simple input-output, making compositional reasoning challenging. Existing work has shown that when such programs are ``separate'', i.e., when programs do not interfere with each other, it…

Programming Languages · Computer Science 2023-03-06 Pedro H. Azevedo de Amorim , Justin Hsu

The syntactic nature of logic and computation separates them from other fields of mathematics. Nevertheless, syntax has been the only way to adequately capture the dynamics of proofs and programs such as cut-elimination, and the finiteness…

Logic · Mathematics 2023-06-14 Norihiro Yamada

Eff is a programming language based on the algebraic approach to computational effects, in which effects are viewed as algebraic operations and effect handlers as homomorphisms from free algebras. Eff supports first-class effects and…

Programming Languages · Computer Science 2015-07-17 Andrej Bauer , Matija Pretnar

In Programming by Example, a system attempts to infer a program from input and output examples, generally by searching for a composition of certain base functions. Performing a naive brute force search is infeasible for even mildly involved…

Artificial Intelligence · Computer Science 2012-09-19 Aditya Krishna Menon , Omer Tamuz , Sumit Gulwani , Butler Lampson , Adam Tauman Kalai

Theories for reasoning about programs with effects initially focused on basic manipulation of lists and other mutable data. The next challenge was to consider higher-order programming, adding functions as first class objects to mutable…

Programming Languages · Computer Science 2023-06-22 Ian A. Mason , Carolyn L. Talcott

Processing programs as data is one of the successes of functional and logic programming. Higher-order functions, as program-processing programs are called in functional programming, and meta-programs, as they are called in logic…

Logic in Computer Science · Computer Science 2020-04-21 François Bry

Our aim here is to illustrate how the benefits of structural corecursion can be found in a broader swath of the programming landscape than previously thought. Beginning from a tutorial on structural corecursion in the total, pure functional…

Programming Languages · Computer Science 2021-03-15 Paul Downen , Zena M. Ariola

An algebraic method is used to study the semantics of exceptions in computer languages. The exceptions form a computational effect, in the sense that there is an apparent mismatch between the syntax of exceptions and their intended…

Logic in Computer Science · Computer Science 2012-10-30 Jean-Guillaume Dumas , Dominique Duval , Laurent Fousse , Jean-Claude Reynaud

Proofs (sequent calculus, natural deduction) and imperative algorithms (pseudocodes) are two well-known coexisting concepts. Then what is their relationship? Our answer is that \[ imperative\ algorithms\ =\ proofs\ with\ cuts \] This…

Logic in Computer Science · Computer Science 2022-02-15 Keehang Kwon , Hyung Joon Kwon
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