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We introduce and investigate here a formalisation for conditionals that allows the definition of a broad class of reasoning systems. This framework covers the most popular kinds of conditional reasoning in logic-based KR: the semantics we…

Artificial Intelligence · Computer Science 2022-02-16 Giovanni Casini , Umberto Straccia

We present a comprehensive programme analysing the decomposition of proof systems for non-classical logics into proof systems for other logics, especially classical logic, using an algebra of constraints. That is, one recovers a proof…

Logic in Computer Science · Computer Science 2023-10-20 Alexander V. Gheorghiu , David J. Pym

Justification theory is a general framework for the definition of semantics of rule-based languages that has a high explanatory potential. Nested justification systems, first introduced by Denecker et al. (2015), allow for the composition…

Artificial Intelligence · Computer Science 2022-05-11 Simon Marynissen , Jesse Heyninck , Bart Bogaerts , Marc Denecker

Models are heavily used in software engineering and together with their systems they evolve over time. Thus, managing their changes is an important challenge for system maintainability. Existing approaches to model differencing concentrate…

Software Engineering · Computer Science 2014-09-10 Shahar Maoz , Jan Oliver Ringert , Bernhard Rumpe

A new class of Semantic Numeration Systems, namely, positive rational Semantic Numeration Systems is introduced. For cardinal semantic operators, differences in the formation of carry (common carry) and remainders are defined. The…

Logic in Computer Science · Computer Science 2026-05-01 Alexander Chunikhin

One of the proposed solutions for improving the scalability of semantics of programming languages is Component-Based Semantics, introduced by Peter D. Mosses. It is expected that this framework can also be used effectively for modular meta…

Logic in Computer Science · Computer Science 2011-08-17 Ken Madlener , Sjaak Smetsers , Marko van Eekelen

In artificial intelligence, multi agent systems constitute an interesting typology of society modeling, and have in this regard vast fields of application, which extend to the human sciences. Logic is often used to model such kind of…

Artificial Intelligence · Computer Science 2019-09-19 Valentina Pitoni , Stefania Costantini

Topological semantics for modal logics has recently gained new momentum in many different branches of logic. In this paper, we will consider the topological semantics of both classical and paraconsistent modal logics. This work is a new…

Logic · Mathematics 2011-08-19 Can Baskent

We define and study logics in the framework of probabilistic team semantics and over metafinite structures. Our work is paralleled by the recent development of novel axiomatizable and tractable logics in team semantics that are closed under…

Logic in Computer Science · Computer Science 2021-04-12 Miika Hannula , Minna Hirvonen , Juha Kontinen

We extend the {\lambda}-calculus with constructs suitable for relational and functional-logic programming: non-deterministic choice, fresh variable introduction, and unification of expressions. In order to be able to unify…

Programming Languages · Computer Science 2021-03-02 Pablo Barenbaum , Federico Lochbaum , Mariana Milicich

The semantic technologies pose new challenge for the way in which we built and operate systems. They are tools used to represent significances, associations, theories, separated from data and code. Their goal is to create, to discover, to…

Software Engineering · Computer Science 2009-03-26 Ioan Despi , Lucian Luca

Defeasible logic is an efficient logic for defeasible reasoning. It is defined through a proof theory and, until now, has had no model theory. In this paper a model-theoretic semantics is given for defeasible logic. The logic is sound and…

Logic in Computer Science · Computer Science 2007-05-23 Michael J. Maher

We develop a framework for epistemic logic that combines relevant modal logic with classical propositional logic. In our framework the agent is modeled as reasoning in accordance with a relevant modal logic while the propositional fragment…

Logic in Computer Science · Computer Science 2022-06-08 Igor Sedlár , Pietro Vigiani

A plausible definition of "reasoning" could be "algebraically manipulating previously acquired knowledge in order to answer a new question". This definition covers first-order logical inference or probabilistic inference. It also includes…

Artificial Intelligence · Computer Science 2011-02-14 Leon Bottou

Natural language understanding often requires deep semantic knowledge. Expanding on previous proposals, we suggest that some important aspects of semantic knowledge can be modeled as a language model if done at an appropriate level of…

Computation and Language · Computer Science 2016-06-28 Haoruo Peng , Dan Roth

An inductive logic can be formulated in which the elements are not propositions or probability distributions, but information systems. The logic is complete for information systems with binary hypotheses, i.e., it applies to all such…

Artificial Intelligence · Computer Science 2013-04-11 Norman C. Dalkey

Formal semantics and distributional semantics are distinct approaches to linguistic meaning: the former models meaning as reference via model-theoretic structures; the latter represents meaning as vectors in high-dimensional spaces shaped…

Logic · Mathematics 2026-02-04 Daniel Quigley

We introduce a novel framework for causal explanations of stochastic, sequential decision-making systems built on the well-studied structural causal model paradigm for causal reasoning. This single framework can identify multiple,…

Artificial Intelligence · Computer Science 2023-01-12 Samer B. Nashed , Saaduddin Mahmud , Claudia V. Goldman , Shlomo Zilberstein

An FOL-program consists of a background theory in a decidable fragment of first-order logic and a collection of rules possibly containing first-order formulas. The formalism stems from recent approaches to tight integrations of ASP with…

Programming Languages · Computer Science 2014-05-15 Yi Bi , Jia-Huai You , Zhiyong Feng

We present a method for logical specification of the behavior of a system based on the specification of its components and for representing and specifying the effect of a class of communication "signaling pathways" among them. Variations in…

Other Quantitative Biology · Quantitative Biology 2019-09-09 Leo Marcus