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Reversible debuggers help programmers to find the causes of misbehaviours in concurrent programs more quickly, by executing a program backwards from the point where a misbehaviour was observed, and looking for the bug(s) that caused it.…

Programming Languages · Computer Science 2024-08-07 Laura Bocchi , Ivan Lanese , Claudio Antares Mezzina , Shoji Yuen

This supplementary material includes three parts: some preliminary results, four examples, an experiment, three new algorithms, and all proofs of the results in the paper "Reversible MCMC on Markov equivalence classes of sparse directed…

Machine Learning · Statistics 2013-08-13 Yangbo He , Jinzhu Jia , Bin Yu

This paper shows that, even at the most basic level, the parallel, countable branching and uncountable branching recurrences of Computability Logic (see http://www.cis.upenn.edu/~giorgi/cl.html) validate different principles.

Logic in Computer Science · Computer Science 2012-01-04 Giorgi Japaridze

Working in a semi-constructive logical system that supports the extraction of concurrent programs, we extract a program inverting non-singular real valued matrices from a constructive proof based on Gaussian elimination. Concurrency is used…

Logic in Computer Science · Computer Science 2023-05-18 Ulrich Berger , Monika Seisenberger , Dieter Spreen , Hideki Tsuiki

Research must be reproducible in order to make an impact on science and to contribute to the body of knowledge in our field. Yet studies have shown that 70% of research from academic labs cannot be reproduced. In software engineering, and…

Software Engineering · Computer Science 2018-04-10 Clinton Woodson , Jane Huffman Hayes , Sarah Griffioen

Primitive recursion, mu-recursion, universal object and universe theories, complexity controlled iteration, code evaluation, soundness, decidability, G\"odel incompleteness theorems, inconsistency provability for set theory, constructive…

Logic · Mathematics 2015-04-14 Michael Pfender

Quantum computer requires quantum arithmetic. The sophisticated design of a reversible arithmetic logic unit (reversible ALU) for quantum arithmetic has been investigated in this letter. We provide explicit construction of reversible ALU…

Hardware Architecture · Computer Science 2011-07-21 Rigui zhou , Yang shi , Manqun Zhang

Studies of issues related to computability and computational complexity involve the use of a model of computation. Pivotal to such a model are the computational processes considered. Processes of this kind can be described using an…

Logic in Computer Science · Computer Science 2024-06-24 C. A. Middelburg

We prolonge the list of C*-algebras for which all extensions by any stable separable C*-algebra are semi-invertible. In particular, we handle certain amalgamations, both of C*-algebras and of groups. Concerning groups we consider both…

Operator Algebras · Mathematics 2010-05-13 Vladimir Manuilov , Klaus Thomsen

Reversible computation is key in developing new, energy-efficient paradigms, but also in providing forward-only concepts with broader definitions and finer frames of study.Among other fields, the algebraic specification and representation…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-26 Clément Aubert

Conjunctive table algebras are introduced and axiomatically characterized. A conjunctive table algebra is a variant of SPJR algebra (a weaker form of relational algebra), which corresponds to conjunctive queries with equality. The table…

Logic · Mathematics 2024-04-03 Jens Kötters , Stefan E. Schmidt

We consider estimation procedures which are recursive in the sense that each successive estimator is obtained from the previous one by a simple adjustment. We study rate of convergence of recursive estimation procedures for the general…

Statistics Theory · Mathematics 2007-05-23 Teo Sharia

We study categories for reversible computing, focussing on reversible forms of event structures. Event structures are a well-established model of true concurrency. There exist a number of forms of event structures, including prime event…

Logic in Computer Science · Computer Science 2017-04-12 Eva Graversen , Iain Phillips , Nobuko Yoshida

We survey results of a quarter century of work on computation by reversible general-purpose computers (in this setting Turing machines), and general reversible simulation of irreversible computations, with respect to energy-, time- and…

Computational Complexity · Computer Science 2007-05-23 Paul Vitanyi

This paper extends a standard process algebra with a time-out operator, thereby increasing its absolute expressiveness, while remaining within the realm of untimed process algebra, in the sense that the progress of time is not quantified.…

Logic in Computer Science · Computer Science 2023-06-22 Rob van Glabbeek

A way to construct and classify the three dimensional polynomially deformed algebras is given and the irreducible representations is presented. for the quadratic algebras 4 different algebras are obtained and for cubic algebras 12 different…

Mathematical Physics · Physics 2007-05-23 Bindu A. Bambah

Reversing a (forward) computation history means undoing the history. In concurrent systems, undoing the history is not performed in a deterministic way but in a causally consistent fashion, where states that are reached during a backward…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-08-18 Luca Cardelli , Cosimo Laneve

Sequential propositional logic deviates from ordinary propositional logic by taking into account that during the sequential evaluation of a propositional statement,atomic propositions may yield different Boolean values at repeated…

Logic in Computer Science · Computer Science 2011-06-28 J. A. Bergstra , A. Ponse

The Massively Parallel Computation (MPC) model serves as a common abstraction of many modern large-scale data processing frameworks, and has been receiving increasingly more attention over the past few years, especially in the context of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-08 Danupon Nanongkai , Michele Scquizzato

In process algebras such as ACP (Algebra of Communicating Processes), parallel processes are considered to be interleaved in an arbitrary way. In the case of multi-threading as found in contemporary programming languages, parallel processes…

Logic in Computer Science · Computer Science 2020-04-22 J. A. Bergstra , C. A. Middelburg