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We propose a call-by-value lambda calculus extended with a new construct inspired by abductive inference and motivated by the programming idioms of machine learning. Although syntactically simple the abductive construct has a complex and…

Programming Languages · Computer Science 2017-10-12 Koko Muroya , Steven Cheung , Dan R. Ghica

Much research has studied foundations for correct and reliable communication-centric systems. A salient approach to correctness uses session types to enforce structured communications; a recent approach to reliability uses reversible…

Logic in Computer Science · Computer Science 2016-06-21 Claudio A. Mezzina , Jorge A. Pérez

We propose the concept of adaptable processes as a way of overcoming the limitations that process calculi have for describing patterns of dynamic process evolution. Such patterns rely on direct ways of controlling the behavior and location…

Logic in Computer Science · Computer Science 2015-07-01 Mario Bravetti , Cinzia Di Giusto , Jorge A Perez , Gianluigi Zavattaro

Usually, mathematical objects have highly parallel interpretations. In this paper, we consider them as sequential constructors of other objects. In particular, we prove that every reflexive directed graph can be interpreted as a program…

Combinatorics · Mathematics 2007-10-27 Serge Burckel

Adding interaction to logic programming is an essential task. Expressive logics such as linear logic provide a theoretical basis for such a mechanism. Unfortunately, none of the existing linear logic languages can model interactions with…

Logic in Computer Science · Computer Science 2015-07-19 Keehang Kwon

We introduce a functional reactive programming language that extends WORMHOLES, an enhancement of YAMPA with support for effects. Our proposal relaxes the constraint in WORMHOLES that restricts all resources to single-use. Resources are…

Programming Languages · Computer Science 2025-03-11 Frédéric Dabrowski , Jordan Ischard

The literal and the initial literal shuffle have been introduced to model the behavior of two synchronized processes. However, it is not possible to describe the synchronization of multiple processes. Furthermore, both restricted forms of…

Formal Languages and Automata Theory · Computer Science 2021-08-23 Stefan Hoffmann

Context: Reynolds showed us how to use continuation-passing style and defunctionalization to transform a recursive interpreter for a language into an abstract machine for programs in that language. The same techniques explain other…

Programming Languages · Computer Science 2021-11-23 Jeremy Gibbons

Intensionality is a phenomenon that occurs in logic and computation. In the most general sense, a function is intensional if it operates at a level finer than (extensional) equality. This is a familiar setting for computer scientists, who…

Logic in Computer Science · Computer Science 2017-12-27 G. A. Kavvos

While loops are present in virtually all imperative programming languages. They are important both for practical reasons (performing a number of iterations not known in advance) and theoretical reasons (achieving Turing completeness). In…

Programming Languages · Computer Science 2023-09-26 David Nowak , Vlad Rusu

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

Using standard domain-theoretic fixed-points, we present an approach for defining recursive functions that are formulated in monadic style. The method works both in the simple option monad and the state-exception monad of Isabelle/HOL's…

Logic in Computer Science · Computer Science 2010-12-23 Alexander Krauss

We consider two classes of computations which admit taking linear combinations of execution runs: probabilistic sampling and generalized animation. We argue that the task of program learning should be more tractable for these architectures…

Logic in Computer Science · Computer Science 2015-12-17 Michael Bukatin , Steve Matthews

We consider random processes that are history-dependent, in the sense that the distribution of the next step of the process at any time depends upon the entire past history of the process. In general, therefore, the Markov property cannot…

Probability · Mathematics 2019-11-19 Peter Clifford , David Stirzaker

In this tutorial, we program big-step and small-step total interpreters for the While language extended with input and output primitives. While is a simple imperative language consisting of skip, assignment, sequence, conditional and loop.…

Programming Languages · Computer Science 2011-09-06 Keiko Nakata

String matching is a fundamental problem in algorithm. This study examines the development and construction of two reversible string-matching algorithms: a naive string-matching algorithm and the Rabin-Karp algorithm. The algorithms are…

Programming Languages · Computer Science 2022-11-23 Robert Glück , Tetsuo Yokoyama

Generative AI systems have revolutionized human interaction by enabling natural language-based coding and problem solving. However, the inherent ambiguity of natural language often leads to imprecise instructions, forcing users to…

Artificial Intelligence · Computer Science 2025-07-02 Fabrizio Marozzo

This paper presents a program logic for reasoning about multithreaded Java-like programs with dynamic thread creation, thread joining and reentrant object monitors. The logic is based on concurrent separation logic. It is the first detailed…

Logic in Computer Science · Computer Science 2015-07-01 Christian Haack , Marieke Huisman , Clément Hurlin , Afshin Amighi

The paper gives a detailed presentation of a framework, embedded into the simply typed higher-order logic and aimed at the support of sound and structured reasoning about various properties of models of imperative programs with interleaved…

Logic in Computer Science · Computer Science 2024-07-16 Maksym Bortin

Reversible computation opens up the possibility of overcoming some of the hardware's current physical limitations. It also offers theoretical insights, as it enriches multiple paradigms and models of computation, and sometimes…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-15 Clément Aubert , Ioana Cristescu