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We study transformational program logics for correctness and incorrectness that we extend to explicitly handle both termination and nontermination. We show that the logics are abstract interpretations of the right image transformer for a…

Logic in Computer Science · Computer Science 2023-11-27 Patrick Cousot

Computation nowadays is becoming inherently concurrent, either because of characteristics of the hardware (with multicore processors becoming omnipresent) or due to the ubiquitous presence of distributed systems (incarnated in the…

Software Engineering · Computer Science 2011-08-01 Mohammad Reza Mousavi , Antonio Ravara

Clifford gates are a winsome class of quantum operations combining mathematical elegance with physical significance. The Gottesman-Knill theorem asserts that Clifford computations can be classically efficiently simulated but this is true…

Quantum Physics · Physics 2013-06-04 Richard Jozsa , Maarten Van den Nest

Symbolic computation is the science of computing with symbolic objects (terms, formulae, programs, algebraic objects, geometrical objects, etc). Powerful symbolic algorithms have been developed during the past decades and have played an…

Symbolic Computation · Computer Science 2013-07-31 Adel Bouhoula , Tetsuo Ida , Fairouz Kamareddine

We show that in quantum logic of closed subspaces of Hilbert space one cannot substitute quantum operations for classical (standard Hilbert space) ones and treat them as primitive operations. We consider two possible ways of such a…

Quantum Physics · Physics 2007-05-23 Norman D. Megill , Mladen Pavicic

This volume contains the proceedings of the 10th International Workshop on Quantum Physics and Logic (QPL X), which was held July 17-19, 2013 at ICFO in Castelldefels (Barcelona), Spain. The goal of this workshop series is to bring together…

Quantum Physics · Physics 2014-12-30 Bob Coecke , Matty Hoban

Weighted logic programming, a generalization of bottom-up logic programming, is a well-suited framework for specifying dynamic programming algorithms. In this setting, proofs correspond to the algorithm's output space, such as a path…

Artificial Intelligence · Computer Science 2012-08-15 Shay B. Cohen , Robert J. Simmons , Noah A. Smith

Logic $L$ was introduced by Lewitzka [7] as a modal system that combines intuitionistic and classical logic: $L$ is a conservative extension of CPC and it contains a copy of IPC via the embedding $\varphi\mapsto\square\varphi$. In this…

Logic in Computer Science · Computer Science 2017-03-10 Steffen Lewitzka

We introduce a first proofs-as-parallel-programs correspondence for classical logic. We define a parallel and more powerful extension of the simply typed lambda calculus corresponding to an analytic natural deduction based on the excluded…

Logic in Computer Science · Computer Science 2018-09-24 Federico Aschieri , Agata Ciabattoni , Francesco Antonio Genco

We survey the landscape of Hoare logics for quantum programs. We review three papers: "Reasoning about imperative quantum programs" by Chadha, Mateus and Sernadas; "A logic for formal verification of quantum programs" by Yoshihiko Kakutani;…

Logic in Computer Science · Computer Science 2019-04-10 Robert Rand

These proceedings present the accepted regular papers and some selected extended abstracts from the 3rd joint DICE-FOPARA workshop, which was held in Prague, Czech Republic on April 6-7, 2019, as a part of ETAPS. The joint workshop provides…

Computational Complexity · Computer Science 2019-08-14 Thomas Seiller , Steffen Jost

Termination is a major question in both logic and computer science. In logic, termination is at the heart of proof theory where it is usually called strong normalization (of cut elimination). In computer science, termination has always been…

Logic in Computer Science · Computer Science 2016-08-16 Frédéric Blanqui , Jean-Pierre Jouannaud , Albert Rubio

The DICE workshop explores the area of Implicit Computational Complexity (ICC), which grew out from several proposals to use logic and formal methods to provide languages for complexity-bounded computation (e.g. Ptime, Logspace…

Logic in Computer Science · Computer Science 2017-04-19 Guillaume Bonfante , Georg Moser

There is a sharp disconnect between the programming and mathematical portions of the standard undergraduate computer science curriculum, leading to student misunderstanding about how the two are related. We propose connecting the subjects…

Programming Languages · Computer Science 2019-07-10 David G. Wonnacott , Peter-Michael Osera

This volume contains the papers presented at the Tenth International Workshop on Developments in Computational Models (DCM) held in Vienna, Austria on 13th July 2014, as part of the Vienna Summer of Logic. Several new models of computation…

Logic in Computer Science · Computer Science 2015-04-09 Ugo Dal Lago , Russ Harmer

This volume contains the proceedings of the Tenth International Workshop on Fixed Points in Computer Science (FICS 2015) which took place on September 11th and 12th, 2015 in Berlin, Germany, as a satellite event of the conference Computer…

Logic in Computer Science · Computer Science 2015-09-10 Ralph Matthes , Matteo Mio

This proceedings contains abstracts and position papers for the work presented at the second Logic and Practice of Programming (LPOP) Workshop. The workshop was held online, virtually in place of Chicago, USA, on November 15, 2010, in…

Programming Languages · Computer Science 2022-11-21 David S. Warren , Peter Van Roy , Yanhong A. Liu

The emphasis is made on the juxtaposition of (quantum~theorem) proving versus quantum (theorem~proving). The logical contents of verification of the statements concerning quantum systems is outlined. The Zittereingang (trembling input)…

Quantum Physics · Physics 2009-10-28 R. R. Zapatrin

Goedel's functional "Dialectica" interpretation can be used to extract functional programs from non-constructive proofs in arithmetic by employing two sorts of higher-order witnessing terms: positive realisers and negative counterexamples.…

Logic in Computer Science · Computer Science 2011-01-31 Trifon Trifonov

The UITP workshop series brings together researchers interested in designing, developing and evaluating user interfaces for automated reasoning tools, such as interactive proof assistants, automated theorem provers, model finders, tools for…

Logic in Computer Science · Computer Science 2014-10-30 Christoph Benzmüller , Bruno Woltzenlogel Paleo