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The standard approach to logic in the literature in philosophy and mathematics, which has also been adopted in computer science, is to define a language (the syntax), an appropriate class of models together with an interpretation of…

Artificial Intelligence · Computer Science 2009-09-25 Joseph Y. Halpern

Business processes need to have certain constraints such that they can lead to sustainable outcomes. These constraints can be manifold and their adherence has to be monitored. In the past compliance checking has been applied in several…

Computers and Society · Computer Science 2020-06-19 Clemens Schreiber

The language Timed Concurrent Constraint (tccp) is the extension over time of the Concurrent Constraint Programming (cc) paradigm that allows us to specify concurrent systems where timing is critical, for example reactive systems. Systems…

Logic in Computer Science · Computer Science 2007-05-23 Moreno Falaschi , Alicia Villanueva

Prior work has combined chain-of-thought prompting in large language models (LLMs) with programmatic representations to perform effective and transparent reasoning. While such an approach works well for tasks that only require forward…

Computation and Language · Computer Science 2023-10-13 Xi Ye , Qiaochu Chen , Isil Dillig , Greg Durrett

An essential element of any verification technique is that of identifying and communicating to the user, system behaviour which leads to a deviation from the expected behaviour. Such behaviours are typically made available as long traces of…

Software Engineering · Computer Science 2014-06-10 Gordon J. Pace , Michael Rosner

Programmable Logic Controllers (PLCs) are widely used in industrial automation to control physical systems. As PLC applications become increasingly complex, ensuring their correctness is crucial. Existing formal verification techniques…

Programming Languages · Computer Science 2025-07-22 Jaeseo Lee , Kyungmin Bae

This document shows how Z specifications can be translated into $\{log\}$ and, later, on how $\{log\}$ can be used to run simulations and automated proofs. This can help users of other specification languages such as B and VDM to use…

Software Engineering · Computer Science 2021-03-30 Maximiliano Cristiá , Gianfranco Rossi

Computability logic (CoL) is a formal theory of interactive computation. It understands computational problems as games played by two players: a machine and its environment, uses logical formalism to describe valid principles of…

Logic in Computer Science · Computer Science 2013-11-27 Meixia Qu , Ke Chen , Daming Zhu , Junfeng Luan

This paper presents a logic language for expressing NP search and optimization problems. Specifically, first a language obtained by extending (positive) Datalog with intuitive and efficient constructs (namely, stratified negation,…

Logic in Computer Science · Computer Science 2009-11-17 Sergio Greco , Cristian Molinaro , Irina Trubitsyna , Ester Zumpano

Computation Tree Logic (CTL) and its extensions CTL* and CTL+ are widely used in automated verification as a basis for common model checking tools. But while they can express many properties of interest like reachability, even simple…

Logic in Computer Science · Computer Science 2019-10-28 Jens Oliver Gutsfeld , Markus Müller-Olm , Christian Dielitz

We introduce IsalProgram (Instruction Set and Language for Programming), a novel assembly-like programming language with three distinctive theoretical properties: (1) it is a regular language in the sense of formal language theory, meaning…

Programming Languages · Computer Science 2026-05-19 Ezequiel López-Rubio

With the technology of the time, Kowalski's seminal 1974 paper {\em Predicate Logic as a Programming Language} was a breakthrough for the use of logic in computer science. It introduced two fundamental ideas: on the declarative side, the…

Logic in Computer Science · Computer Science 2018-03-14 Broes De Cat , Bart Bogaerts , Maurice Bruynooghe , Gerda Janssens , Marc Denecker

Answer set programming is a prominent declarative programming paradigm used in formulating combinatorial search problems and implementing different knowledge representation formalisms. Frequently, several related and yet substantially…

Artificial Intelligence · Computer Science 2023-03-01 Yuliya Lierler

Most automated program verifiers for separation logic use either symbolic execution or verification condition generation to extract proof obligations, which are then handed over to an SMT solver. Existing verification algorithms are…

Programming Languages · Computer Science 2024-05-28 Marco Eilers , Malte Schwerhoff , Peter Müller

We develop the first two heap logics that have implicit heaplets and that admit FO-complete program verification. The notion of FO-completeness is a theoretical guarantee that all theorems that are valid when recursive definitions are…

Logic in Computer Science · Computer Science 2026-01-13 Adithya Murali , Hrishikesh Balakrishnan , Aaron Councilman , P. Madhusudan

Concolic testing is a popular dynamic validation technique that can be used for both model checking and automatic test case generation. We have recently introduced concolic testing in the context of logic programming. In contrast to…

Logic in Computer Science · Computer Science 2016-08-11 Fred Mesnard , Etienne Payet , German Vidal

Formal verification provides a rigorous and systematic approach to ensure the correctness and reliability of software systems. Yet, constructing specifications for the full proof relies on domain expertise and non-trivial manpower. In view…

Software Engineering · Computer Science 2024-04-03 Cheng Wen , Jialun Cao , Jie Su , Zhiwu Xu , Shengchao Qin , Mengda He , Haokun Li , Shing-Chi Cheung , Cong Tian

Computability logic (CL) (see http://www.cis.upenn.edu/~giorgi/cl.html) is a recently launched program for redeveloping logic as a formal theory of computability, as opposed to the formal theory of truth that logic has more traditionally…

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

The ability to generate test data is often a necessary prerequisite for automated software testing. For the generated data to be fit for its intended purpose, the data usually has to satisfy various logical constraints. When testing is…

Software Engineering · Computer Science 2020-05-19 Ghanem Soltana , Mehrdad Sabetzadeh , Lionel C. Briand

Foundational verification considers the functional correctness of programming languages with formalized semantics and uses proof assistants (e.g., Coq, Isabelle) to certify proofs. The need for verifying complex programs compels it to…

Programming Languages · Computer Science 2025-07-08 Qiyuan Xu , David Sanan , Zhe Hou , Xiaokun Luan , Conrad Watt , Yang Liu
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