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In the logic programming paradigm, a program is defined by a set of methods, each of which can be executed when specific conditions are met during the current state of an execution. The semantics of these programs can be elegantly…

Logic in Computer Science · Computer Science 2024-10-02 Matteo Acclavio , Roberto Maieli

We study a syntax for specifying quantitative "assertions" - functions mapping program states to numbers - for probabilistic program verification. We prove that our syntax is expressive in the following sense: Given any probabilistic…

Logic in Computer Science · Computer Science 2022-02-01 Kevin Batz , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja

We present a type theory combining both linearity and dependency by stratifying typing rules into a level for logics and a level for programs. The distinction between logics and programs decouples their semantics, allowing the type system…

Programming Languages · Computer Science 2025-10-08 Qiancheng Fu , Hongwei Xi

Categorization systems are widely studied in psychology, sociology, and organization theory as information-structuring devices which are critical to decision-making processes. In the present paper, we introduce a sound and complete…

Logic in Computer Science · Computer Science 2017-07-28 Willem Conradie , Sabine Frittella , Alessandra Palmigiano , Michele Piazzai , Apostolos Tzimoulis , Nachoem M. Wijnberg

Instruction sets, from families like x86 and ARM, are at the center of many ambitious formal-methods projects. Many verification, synthesis, programming, and debugging tools rely on formal semantics of instruction sets, but different tools…

Logic in Computer Science · Computer Science 2022-11-18 Thomas Bourgeat , Ian Clester , Andres Erbsen , Samuel Gruetter , Pratap Singh , Andrew Wright , Adam Chlipala

Recently, we have proposed a framework for verification of agents' abilities in asynchronous multi-agent systems, together with an algorithm for automated reduction of models. The semantics was built on the modeling tradition of distributed…

Logic in Computer Science · Computer Science 2025-01-22 Wojciech Jamroga , Wojciech Penczek , Teofil Sidoruk

Abductive logic programming offers a formalism to declaratively express and solve problems in areas such as diagnosis, planning, belief revision and hypothetical reasoning. Tabled logic programming offers a computational mechanism that…

Logic in Computer Science · Computer Science 2016-08-15 José Júlio Alferes , Luís Moniz Pereira , Terrance Swift

Intuitionistic epistemic logic introduces an epistemic operator, which reflects the intended BHK semantics of intuitionism, to intuitionistic logic. The fundamental assumption concerning intuitionistic knowledge and belief is that it is the…

Logic · Mathematics 2016-01-14 Tudor Protopopescu

Part of the theory of logic programming and nonmonotonic reasoning concerns the study of fixed-point semantics for these paradigms. Several different semantics have been proposed during the last two decades, and some have been more…

Artificial Intelligence · Computer Science 2007-05-23 Pascal Hitzler , Matthias Wendt

Reasoning abilities of human beings are limited. Logics that treat logical inference for human knowledge should reflect these limited abilities. Logic of awareness is one of those logics. In the logic, what an agent with a limited reasoning…

Multiagent Systems · Computer Science 2024-02-14 Yudai Kubono

In previous work, we proposed a logic-based framework in which computation is the execution of actions in an attempt to make reactive rules of the form if antecedent then consequent true in a canonical model of a logic program determined by…

Artificial Intelligence · Computer Science 2020-02-19 Robert Kowalski , Fariba Sadri

Constructor-Based Conditional Rewriting Logic is a general framework for integrating first-order functional and logic programming which gives an algebraic semantics for non-deterministic functional-logic programs. In the context of this…

Logic in Computer Science · Computer Science 2007-05-23 Juan M. Molina , Ernesto Pimentel

We apply to logic programming some recently emerging ideas from the field of reduction-based communicating systems, with the aim of giving evidence of the hidden interactions and the coordination mechanisms that rule the operational…

Logic in Computer Science · Computer Science 2007-05-23 Roberto Bruni , Ugo Montanari , Francesca Rossi

Logic programming is a flexible programming paradigm due to the use of predicates without a fixed data flow. To extend logic languages with the compact notation of functional programming, there are various proposals to map evaluable…

Programming Languages · Computer Science 2022-05-17 Michael Hanus

Fact-checking real-world claims often requires collecting multiple pieces of evidence and applying complex multi-step reasoning. In this paper, we present Program-Guided Fact-Checking (ProgramFC), a novel fact-checking model that decomposes…

Computation and Language · Computer Science 2023-05-23 Liangming Pan , Xiaobao Wu , Xinyuan Lu , Anh Tuan Luu , William Yang Wang , Min-Yen Kan , Preslav Nakov

Description logic Knowledge and Action Bases (KAB) are a mechanism for providing both a semantically rich representation of the information on the domain of interest in terms of a description logic knowledge base and actions to change such…

Artificial Intelligence · Computer Science 2014-02-05 Babak Bagheri Hariri , Diego Calvanese , Marco Montali , Giuseppe De Giacomo , Riccardo De Masellis , Paolo Felli

This paper presents a comprehensive framework for modeling and verifying multi-agent systems. The paper introduce an Epistemic Process Calculus for multi-agent systems, which formalizes the syntax and semantics to capture the essential…

Formal Languages and Automata Theory · Computer Science 2025-01-31 Qixian Yu , Zining Cao , Zong Hui , Yuan Zhou

Conditioning is a key feature in probabilistic programming to enable modeling the influence of data (also known as observations) to the probability distribution described by such programs. Determining the posterior distribution is also…

Logic in Computer Science · Computer Science 2025-04-30 Christina Gehnen , Dominique Unruh , Joost-Pieter Katoen

This paper describes a simpler way for programmers to reason about the correctness of their code. The study of semantics of logic programs has shown strong links between the model theoretic semantics (truth and falsity of atoms in the…

Logic in Computer Science · Computer Science 2014-11-17 Lee Naish

Two distinct research approaches have been proposed for assigning a purely extensional semantics to higher-order logic programming. The former approach uses classical domain theoretic tools while the latter builds on a fixed-point…

Logic in Computer Science · Computer Science 2015-09-11 Angelos Charalambidis , Panos Rondogiannis , Ioanna Symeonidou