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Logic programming has developed as a rich field, built over a logical substratum whose main constituent is a nonclassical form of negation, sometimes coexisting with classical negation. The field has seen the advent of a number of…

Logic in Computer Science · Computer Science 2011-05-09 Éric A. Martin

We introduce a framework for reasoning about the security of computer systems using modal logic. This framework is sufficiently expressive to capture a variety of known security properties, while also being intuitive and independent of…

Cryptography and Security · Computer Science 2023-09-19 Matvey Soloviev , Musard Balliu , Roberto Guanciale

We describe several views of the semantics of a simple programming language as formal documents in the calculus of inductive constructions that can be verified by the Coq proof system. Covered aspects are natural semantics, denotational…

Logic in Computer Science · Computer Science 2007-07-10 Yves Bertot

Authentication and authorization are two tightly coupled and interrelated concepts which are used to keep transactions secure and help in protecting confidential information. This paper proposes to evaluate the current techniques used for…

Cryptography and Security · Computer Science 2011-04-22 K. Lakshmi Madhuri , T. R. Gopalakrishnan Nair

We introduce Cryptis, an extension of the Iris separation logic that can be used to verify cryptographic components using the symbolic model of cryptography. The combination of separation logic and cryptographic reasoning allows us to prove…

Cryptography and Security · Computer Science 2025-07-15 Arthur Azevedo de Amorim , Amal Ahmed , Marco Gaboardi

Propositional term modal logic is interpreted over Kripke structures with unboundedly many accessibility relations and hence the syntax admits variables indexing modalities and quantification over them. This logic is undecidable, and we…

Logic in Computer Science · Computer Science 2019-01-01 Anantha Padmanabha , R Ramanujam

Kripke frames (and models) provide a suitable semantics for sub-classical logics, for example Intuitionistic Logic (of Brouwer and Heyting) axiomatizes the reflexive and transitive Kripke frames (with persistent satisfaction relations), and…

Logic · Mathematics 2019-07-02 Parvin Safari , Saeed Salehi

We present the Flow-Limited Authorization First-Order Logic (FLAFOL), a logic for reasoning about authorization decisions in the presence of information-flow policies. We formalize the FLAFOL proof system, characterize its proof-theoretic…

Cryptography and Security · Computer Science 2020-12-11 Andrew K. Hirsch , Pedro H. Azevedo de Amorim , Ethan Cecchetti , Ross Tate , Owen Arden

This paper describes a procedure that system developers can follow to translate typical mathematical representations of linearized control systems into logic theories. These theories are then used to verify system requirements and find…

Logic in Computer Science · Computer Science 2021-08-09 Andrea Domenici , Cinzia Bernardeschi

Cyberlogic is an enabling logical foundation for building and analyzing digital transactions that involve the exchange of digital forms of evidence. It is based on an extension of (first-order) intuitionistic predicate logic with an…

Cryptography and Security · Computer Science 2023-04-04 Harald Ruess , Natarajan Shankar

This paper presents a language-independent proof system for reachability properties of programs written in non-deterministic (e.g., concurrent) languages, referred to as all-path reachability logic. It derives partial-correctness properties…

Programming Languages · Computer Science 2023-06-22 Andrei Stefanescu , Stefan Ciobaca , Radu Mereuta , Brandon Moore , Traian Florin Serbanuta , Grigore Rosu

\textbf{T-BAT} logic is a formal system designed to express the notion of informal provability. This type of provability is closely related to mathematical practice and is quite often contrasted with formal provability, understood as a…

Logic in Computer Science · Computer Science 2025-10-17 Pawel Pawlowski

We define a modification of the standard Kripke model, called the ordered Kripke model, by introducing a linear order on the set of accessible states of each state. We first show this model can be used to describe the lexicographic belief…

Econometrics · Economics 2018-01-29 Shuige Liu

In [Hitzler and Wendt 2002, 2005], a new methodology has been proposed which allows to derive uniform characterizations of different declarative semantics for logic programs with negation. One result from this work is that the well-founded…

Artificial Intelligence · Computer Science 2007-05-23 Pascal Hitzler

In this paper, we introduce $\textit{partial}$ dependency modality $\mathcal{D}$ into epistemic logic so as to reason about $\textit{partial}$ dependency relationship in Kripke models. The resulted dependence epistemic logic possesses…

Logic · Mathematics 2019-08-28 Xinyu Wang

We give a calculus for reasoning about the first-order fragment of classical logic that is adequate for giving the truth conditions of intuitionistic Kripke frames, and outline a proof-theoretic soundness and completeness proof, which we…

Logic in Computer Science · Computer Science 2022-04-28 Robert Rothenberg

The goal of this lecture is to show how modern theorem provers---in this case, the Coq proof assistant---can be used to mechanize the specification of programming languages and their semantics, and to reason over individual programs and…

Programming Languages · Computer Science 2010-10-28 Xavier Leroy

Logic rules and inference are fundamental in computer science and have been studied extensively. However, prior semantics of logic languages can have subtle implications and can disagree significantly, on even very simple programs,…

Logic in Computer Science · Computer Science 2021-10-07 Yanhong A. Liu , Scott D. Stoller

This chapter provides an introduction to some basic concepts of epistemic logic, basic formal languages, their semantics, and proof systems. It also contains an overview of the handbook, and a brief history of epistemic logic and pointers…

Artificial Intelligence · Computer Science 2015-03-04 Hans van Ditmarsch , Joseph Y. Halpern , Wiebe van der Hoek , Barteld Kooi

Argumentation has proved a useful tool in defining formal semantics for assumption-based reasoning by viewing a proof as a process in which proponents and opponents attack each others arguments by undercuts (attack to an argument's premise)…

Logic in Computer Science · Computer Science 2007-05-23 Ralf Schweimeier , Michael Schroeder