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The automated proof search system and decidability for logic of correlated knowledge is presented in this paper. The core of the proof system is the sequent calculus with the properties of soundness, completeness, admissibility of cut and…

Logic in Computer Science · Computer Science 2019-02-26 Haroldas Giedra , Romas Alonderis

This paper introduces a tool for verifying Python programs, which, using type annotation and front-end processing, can harness the capabilities of a bounded model-checking (BMC) pipeline. It transforms an input program into an abstract…

Software Engineering · Computer Science 2024-07-08 Bruno Farias , Rafael Menezes , Eddie B. de Lima Filho , Youcheng Sun , Lucas C. Cordeiro

This paper is a survey of two kinds of "compressed" proof schemes, the \emph{matrix method} and \emph{proof nets}, as applied to a variety of logics ranging along the substructural hierarchy from classical all the way down to the…

Logic in Computer Science · Computer Science 2012-03-23 Sean A. Fulop

Proof Designer is a computer software program designed to help Mathematics students learn to write mathematical proofs. Under the guidance of the user, Proof Designer assists in writing outlines of proofs in elementary set theory. Proof…

History and Overview · Mathematics 2015-07-20 Moez A. AbdelGawad

This work presents a model-based development methodology for verified software systems as well as a tool support for it: an applied AutoFocus tool chain and its basic principles emphasizing the verification of the system under development…

Software Engineering · Computer Science 2012-07-11 Maria Spichkova , Florian Hölzl , David Trachtenherz

Software model checking constitutes an undecidable problem and, as such, even an ideal tool will in some cases fail to give a conclusive answer. In practice, software model checkers fail often and usually do not provide any information on…

Software Engineering · Computer Science 2017-08-21 Rodrigo Castaño , Victor Braberman , Diego Garbervetsky , Sebastian Uchitel

Synthetic verification techniques such as generating test cases and reward modelling are common ways to enhance the coding capabilities of large language models (LLM) beyond predefined tests. Additionally, code verification has recently…

Artificial Intelligence · Computer Science 2025-07-31 Aleksander Ficek , Somshubra Majumdar , Vahid Noroozi , Boris Ginsburg

A recent case study from AWS by Chong et al. proposes an effective methodology for Bounded Model Checking in industry. In this paper, we report on a follow up case study that explores the methodology from the perspective of three research…

Software Engineering · Computer Science 2021-07-05 Siddharth Priya , Xiang Zhou , Yusen Su , Yakir Vizel , Yuyan Bao , Arie Gurfinkel

This paper develops an algorithmic-based approach for proving inductive properties of propositional sequent systems such as admissibility, invertibility, cut-elimination, and identity expansion. Although undecidable in general, these…

Logic in Computer Science · Computer Science 2021-01-11 Carlos Olarte , Elaine Pimentel , Camilo Rocha

Model checking is an established technique to formally verify automation systems which are required to be trusted. However, for sufficiently complex systems model checking becomes computationally infeasible. On the other hand, testing,…

Software Engineering · Computer Science 2019-07-30 Igor Buzhinsky , Valeriy Vyatkin

Memory safety remains a critical and widely violated property in reality. Numerous defense techniques have been proposed and developed but most of them are not applied or enabled by default in production-ready environment due to their…

Cryptography and Security · Computer Science 2021-11-30 Wei Song , Jiameng Ying , Sihao Shen , Boya Li , Hao Ma , Peng Liu

Fault-tolerant distributed algorithms are central for building reliable spatially distributed systems. Unfortunately, the lack of a canonical precise framework for fault-tolerant algorithms is an obstacle for both verification and…

Formal Languages and Automata Theory · Computer Science 2012-10-16 Annu John , Igor Konnov , Ulrich Schmid , Helmut Veith , Josef Widder

Cirquent calculus is a new proof-theoretic and semantic framework, whose main distinguishing feature is being based on circuits, as opposed to the more traditional approaches that deal with tree-like objects such as formulas or sequents.…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

High confidence in floating-point programs requires proving numerical properties of final and intermediate values. One may need to guarantee that a value stays within some range, or that the error relative to some ideal value is well…

Numerical Analysis · Computer Science 2008-01-04 Florent De Dinechin , Christoph Quirin Lauter , Guillaume Melquiond

We propose a tool-supported methodology for design-space exploration for embedded systems. It provides means to define high-level models of applications and multi-processor architectures and evaluate the performance of different deployment…

Software Engineering · Computer Science 2014-06-10 Jean-Francois Kempf , Olivier Lebeltel , Oded Maler

This paper presents composable attestation as a generalized cryptographic framework for Continuous and Incremental Trust in Distributed Systems,such as Artificial Intelligence (AI) computation, and Open Source Software (OSS) supply chain…

Cryptography and Security · Computer Science 2026-03-04 Sheng Sun , Sarah Evans

We describe and motivate a proposed new approach to lowerbounding the circuit complexity of boolean functions, based on a new formalization of "patterns" as elements of a special basis of the vector space of all truth table properties. We…

Computational Complexity · Computer Science 2016-06-17 Bruce K. Smith

Bounded model checking of pointer programs is a debugging technique for programs that manipulate dynamically allocated pointer structures on the heap. It is based on the following four observations. First, error conditions like dereference…

Logic in Computer Science · Computer Science 2016-03-02 Witold Charatonik , Piotr Witkowski

To realize reliable quantum software, techniques to automatically ensure the quantum software's correctness have recently been investigated. However, they primarily focus on fixed quantum circuits rather than the procedure of building…

Computation and Language · Computer Science 2023-04-03 Masaomi Yamaguchi , Nobukazu Yoshioka

This thesis develops a framework for formalizing reasoning about specifications of systems written in LF. This formalization centers around the development of a reasoning logic that can express the sorts of properties which arise in…

Logic in Computer Science · Computer Science 2021-05-11 Mary Southern