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相关论文: Fully-abstract concurrent games for pi

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Linear logic Concurrent Constraint programming (LCC) is an extension of concurrent constraint programming (CC) where the constraint system is based on Girard's linear logic instead of the classical logic. In this paper we address the…

编程语言 · 计算机科学 2011-08-02 Rémy Haemmerlé

We study comparisons between interpretations in description logics with respect to "logical consequences" of the form of semi-positive concepts (like semi-positive concept assertions). Such comparisons are characterized by conditions…

计算机科学中的逻辑 · 计算机科学 2013-04-23 Ali Rezaei Divroodi , Linh Anh Nguyen

The notion of a critical successor [dJV90] has been central to almost all modal completeness proofs in interpretability logics. In this paper we shall work with an alternative notion, that of an assuring successor. As we shall see, this…

逻辑 · 数学 2022-03-01 Evan Goris , Marta Bílková , Joost J. Joosten , Luka Mikec

We give a new treatment of the pi-calculus based on the semantic theory of separation logic, continuing a research program begun by Hoare and O'Hearn. Using a novel resource model that distinguishes between public and private ownership, we…

编程语言 · 计算机科学 2011-05-06 Aaron Turon , Mitchell Wand

Expanding the ideas of the author's paper 'Nonexpansive maps and option pricing theory' (Kibernetica 34:6 (1998), 713-724) we develop a pure game-theoretic approach to option pricing, by-passing stochastic modeling. Risk neutral…

最优化与控制 · 数学 2022-05-03 Vassili Kolokoltsov

While discounted payoff games and classic games that reduce to them, like parity and mean-payoff games, are symmetric, their solutions are not. We have taken a fresh view on the constraints that optimal solutions need to satisfy, and…

数据结构与算法 · 计算机科学 2023-10-03 Daniele Dell'Erba , Arthur Dumas , Sven Schewe

We present a new game semantics for Martin-L\"of type theory (MLTT), our aim is to give a mathematical and intensional explanation of MLTT. Specifically, we propose a category with families of a novel variant of games, which induces a…

计算机科学中的逻辑 · 计算机科学 2021-06-18 Norihiro Yamada

We present the first fully abstract normal form bisimulation for call-by-value PCF (PCF$_{\textsf{v}}$). Our model is based on a labelled transition system (LTS) that combines elements from applicative bisimulation, environmental…

编程语言 · 计算机科学 2023-10-03 Vasileios Koutavas , Yu-Yang Lin , Nikos Tzevelekos

The analysis of concurrent and reactive systems is based to a large degree on various notions of process equivalence, ranging, on the so-called linear-time/branching-time spectrum, from fine-grained equivalences such as strong bisimilarity…

计算机科学中的逻辑 · 计算机科学 2014-10-17 Alexander Kurz , Stefan Milius , Dirk Pattinson , Lutz Schröder

We define a model of predicate logic in which every term and predicate, open or closed, has an absolute denotation independently of a valuation of the variables. For each variable a, the domain of the model contains an element [[a]] which…

计算机科学中的逻辑 · 计算机科学 2026-04-20 Gilles Dowek , Murdoch J. Gabbay

We define memory-efficient certificates for $\mu$-calculus model checking problems based on the well-known correspondence of the $\mu$-calculus model checking with winning certain parity games. Winning strategies can independently checked,…

计算机科学中的逻辑 · 计算机科学 2014-01-09 Martin Hofmann , Harald Ruess

We describe a denotational semantics for an abstract effect system for a higher-order, shared-variable concurrent programming language. We prove the soundness of a number of general effect-based program equivalences, including a…

编程语言 · 计算机科学 2015-10-12 Nick Benton , Martin Hofmann , Vivek Nigam

We give another proof of ordinal analysis of $I\Sigma_{k}$-fragments of Peano Arithmetic which is free from cut-elimination of $\omega$-logic. Our main tool is a direct witnessing argument utilizing game notion, motivated from the realm of…

逻辑 · 数学 2024-09-04 Eitetsu Ken

The notion of innocent strategy was introduced by Hyland and Ong in order to capture the interactive behaviour of lambda-terms and PCF programs. An innocent strategy is defined as an alternating strategy with partial memory, in which the…

计算机科学中的逻辑 · 计算机科学 2007-06-11 Paul-André Melliès , Samuel Mimram

Formal, mathematically rigorous programming language semantics are the essential prerequisite for the design of logics and calculi that permit automated reasoning about concurrent programs. We propose a novel modular semantics designed to…

A categorical approach to study model comparison games in terms of comonads was recently initiated by Abramsky et al. In this work, we analyse games that appear naturally in the context of description logics and supplement them with…

计算机科学中的逻辑 · 计算机科学 2022-11-18 Mateusz Urbańczyk

How to handle division in systems that compute with logical formulas involving what would otherwise be polynomial constraints over the real numbers is a surprisingly difficult question. This paper argues that existing approaches from both…

符号计算 · 计算机科学 2024-12-03 Christopher W. Brown

Parikh's game logic is a PDL-like fixpoint logic interpreted on monotone neighbourhood frames that represent the strategic power of players in determined two-player games. Game logic translates into a fragment of the monotone…

计算机科学中的逻辑 · 计算机科学 2017-09-05 Helle Hvid Hansen , Clemens Kupke , Johannes Marti , Yde Venema

Parity games play a central role in model checking and satisfiability checking. Solving parity games is computationally expensive, among others due to the size of the games, which, for model checking problems, can easily contain $10^9$…

计算机科学中的逻辑 · 计算机科学 2016-03-22 S. Cranen , J. J. A. Keiren , T. A. C. Willemse

We design various logics for proving hyper properties of iterative programs by application of abstract interpretation principles. In part I, we design a generic, structural, fixpoint abstract interpreter parameterized by an algebraic…

计算机科学中的逻辑 · 计算机科学 2024-11-19 Patrick Cousot , Jeffery Wang