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This paper presents the logic QRC$_1$, which is a strictly positive fragment of quantified modal logic. The intended reading of the diamond modality is that of consistency of a formal theory. Predicate symbols are interpreted as…

Logic · Mathematics 2020-10-15 Ana de Almeida Borges , Joost J. Joosten

Security protocols are essential building blocks of modern IT systems. Subtle flaws in their design or implementation may compromise the security of entire systems. It is, thus, important to prove the absence of such flaws through formal…

Cryptography and Security · Computer Science 2023-09-12 Linard Arquint , Malte Schwerhoff , Vaibhav Mehta , Peter Müller

Formalisms for specifying statistical models, such as probabilistic-programming languages, typically consist of two components: a specification of a stochastic process (the prior), and a specification of observations that restrict the…

Databases · Computer Science 2015-01-06 Vince Barany , Balder ten Cate , Benny Kimelfeld , Dan Olteanu , Zografoula Vagena

Session types, types for structuring communication between endpoints in distributed systems, are recently being integrated into mainstream programming languages. In practice, a very important notion for dealing with such types is that of…

Programming Languages · Computer Science 2023-06-22 Mario Bravetti , Marco Carbone , Julien Lange , Nobuko Yoshida , Gianluigi Zavattaro

Bisimulation is crucial for verifying process equivalence in probabilistic systems. This paper presents a novel logical framework for analyzing bisimulation in probabilistic parameterized systems, namely, infinite families of finite-state…

Software Engineering · Computer Science 2025-05-16 Chih-Duo Hong , Anthony W. Lin , Philipp Rümmer , Rupak Majumdar

Restricted non-deterministic matrices (RNmatrices) impose constraints on the rows of non-deterministic matrices (Nmatrices), filtering out "unsound" rows and retaining only "valid" ones. This yields a more expressive framework than standard…

Logic in Computer Science · Computer Science 2026-05-07 Renato R. Leme , Carlos Olarte , Elaine Pimentel

In this article, we review several aspects of composability in the context of quantum cryptography. The first part is devoted to key distribution. We discuss the security criteria that a quantum key distribution protocol must fulfill to…

Quantum Physics · Physics 2010-06-14 Joern Mueller-Quade , Renato Renner

An efficient entailment proof system is essential to compositional verification using separation logic. Unfortunately, existing decision procedures are either inexpressive or inefficient. For example, Smallfoot is an efficient procedure but…

Logic in Computer Science · Computer Science 2022-10-04 Quang Loc Le , Xuan-Bach D. Le

I review the ideas and main results in the derivation of security bounds in quantum key distribution for keys of finite length. In particular, all the detailed studies on specific protocols and implementations indicate that no secret key…

Quantum Physics · Physics 2010-10-05 Valerio Scarani

The P versus NP problem asks whether every language verifiable in polynomial time can also be decided in deterministic polynomial time. In this paper, we present a constructive proof that P = NP by introducing a universal, graph-based…

Computational Complexity · Computer Science 2026-04-02 Changryeol Lee

A conjunctive query (CQ) is semantically acyclic if it is equivalent to an acyclic one. Semantic acyclicity has been studied in the constraint-free case, and deciding whether a query enjoys this property is NP-complete. However, in case the…

Databases · Computer Science 2016-06-06 Pablo Barcelo , Georg Gottlob , Andreas Pieris

Informal arguments that cryptographic protocols are secure can be made rigorous using inductive definitions. The approach is based on ordinary predicate calculus and copes with infinite-state systems. Proofs are generated using…

Cryptography and Security · Computer Science 2021-05-14 Lawrence C. Paulson

This paper shows that a variety of software model-checking algorithms can be seen as proof-search strategies for a non-standard proof system, known as a cyclic proof system. Our use of the cyclic proof system as a logical foundation of…

Programming Languages · Computer Science 2021-11-11 Takeshi Tsukada , Hiroshi Unno

The theory of sequences, supported by many SMT solvers, can model program data types including bounded arrays and lists. Sequences are parameterized by the element data type and provide operations such as accessing elements, concatenation,…

Programming Languages · Computer Science 2025-09-09 Denghang Hu , Taolue Chen , Philipp Rümmer , Fu Song , Zhilin Wu

Session types are a type-based approach to the verification of message-passing programs. They specify communication structures essential to enforcing program correctness; by relying on sequencing constructs, a session type can precisely…

Programming Languages · Computer Science 2025-05-14 Alen Arslanagić , Jorge A. Pérez , Dan Frumin

In this paper, we derive a new proof of security for the Extended B92 QKD protocol. We derive a general entropic uncertainty relation for QKD protocols with data filtering and rejection. Our bound requires one to determine the size of a…

Quantum Physics · Physics 2026-04-28 Walter O. Krawec

Determining the space complexity of $x$-obstruction-free $k$-set agreement for $x\leq k$ is an open problem. In $x$-obstruction-free protocols, processes are required to return in executions where at most $x$ processes take steps. The best…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-11 Faith Ellen , Rati Gelashvili , Leqi Zhu

We consider the problem of intruder deduction in security protocol analysis: that is, deciding whether a given message M can be deduced from a set of messages Gamma under the theory of blind signatures and arbitrary convergent equational…

Logic in Computer Science · Computer Science 2015-07-01 Alwen F Tiu , Rajeev Gore , Jeremy Dawson

Most cryptosystems are defined over finite algebraic structures where arithmetic operations are performed modulo natural numbers. This applies to private key as well as to public key ciphers. No secure cryptosystems defined over the field…

Cryptography and Security · Computer Science 2016-02-16 Youssef Hassoun

Periodically-driven systems are ubiquitous in science and technology. In quantum dynamics, even a small number of periodically-driven spins leads to complicated dynamics. Hence, it is of interest to understand what constraints such dynamics…

Quantum Physics · Physics 2022-04-20 Tanmoy Pandit , Alaina M. Green , C. Huerta Alderete , Norbert M. Linke , Raam Uzdin