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Propositional Dynamic Logic, PDL, is a modal logic designed to formalize the reasoning about programs. By extending accessibility between states to states and state sets, concurrent propositional dynamic logic CPDL, is introduced to include…

Logic in Computer Science · Computer Science 2025-01-17 Chun-Yu Lin

Deep inference is a proof theoretic methodology that generalizes the standard notion of inference of the sequent calculus, whereby inference rules become applicable at any depth inside logical expressions. Deep inference provides more…

Logic in Computer Science · Computer Science 2015-07-01 Ozan Kahramanogullari

Epistemic Logic Programs (ELPs), that is, Answer Set Programming (ASP) extended with epistemic operators, have received renewed interest in recent years, which led to a flurry of new research, as well as efficient solvers. An important…

Logic in Computer Science · Computer Science 2018-11-13 Wolfgang Faber , Michael Morak , Stefan Woltran

Pre-trained language models (PLMs) have shown impressive performance in various language tasks. However, they are prone to spurious correlations, and often generate illusory information. In real-world applications, PLMs should justify…

Computation and Language · Computer Science 2023-10-31 Zheyuan Zhang , Shane Storks , Fengyuan Hu , Sungryull Sohn , Moontae Lee , Honglak Lee , Joyce Chai

A grammar logic refers to an extension to the multi-modal logic K in which the modal axioms are generated from a formal grammar. We consider a proof theory, in nested sequent calculus, of grammar logics with converse, i.e., every modal…

Logic in Computer Science · Computer Science 2012-04-12 Alwen Tiu , Egor Ianovski , Rajeev Gore

Like any other logical theory, domain descriptions in reasoning about actions may evolve, and thus need revision methods to adequately accommodate new information about the behavior of actions. The present work is about changing action…

Artificial Intelligence · Computer Science 2008-11-13 Ivan Varzinczak

We argue that the notion of epistemic \emph{possible worlds} in constructivism (intuitionism) is not as the same as it is in classic view, and there are possibilities, called non-predetermined worlds, which are ignored in (classic)…

Logic in Computer Science · Computer Science 2013-02-06 Rasoul Ramezanian

Negotiations are a formalism for describing multiparty distributed cooperation. Alternatively, they can be seen as a model of concurrency with synchronized choice as communication primitive. Well-designed negotiations must be sound, meaning…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Javier Esparza , Denis Kuperberg , Anca Muscholl , Igor Walukiewicz

Epistemic Logic Programs (ELPs) are an extension of Answer Set Programming (ASP) with epistemic operators that allow for a form of meta-reasoning, that is, reasoning over multiple possible worlds. Existing ELP solving approaches generally…

Logic in Computer Science · Computer Science 2020-01-07 Manuel Bichler , Michael Morak , Stefan Woltran

We present a computer-supported approach for the logical analysis and conceptual explicitation of argumentative discourse. Computational hermeneutics harnesses recent progresses in automated reasoning for higher-order logics and aims at…

Artificial Intelligence · Computer Science 2022-12-12 David Fuenmayor , Christoph Benzmüller

We propose a monotonic logic of internalised non-monotonic or instant interactive proofs (LiiP) and reconstruct an existing monotonic logic of internalised monotonic or persistent interactive proofs (LiP) as a minimal conservative extension…

Logic in Computer Science · Computer Science 2013-02-07 Simon Kramer

The human capability to reason about one domain by using knowledge of other domains has been researched for more than 50 years, but models that are formally sound and predict cognitive process are sparse. We propose a formally sound method…

Artificial Intelligence · Computer Science 2022-01-10 Claudia Schon , Ulrich Furbach , Marco Ragni

A number of flexible tactic-based logical frameworks are nowadays available that can implement a wide range of mathematical theories using a common higher-order metalanguage. Used as proof assistants, one of the advantages of such powerful…

Logic in Computer Science · Computer Science 2010-03-26 João Marcos

Consider a community of scientists whose labs are each capable of conducting a different set of experiments. The scientists want to work together to confirm a new hypothesis, but to ensure blindness, their labs generally prohibit the…

Logic in Computer Science · Computer Science 2026-05-01 Siddharth Namachivayam

This paper proposes new semantics for nondeterministic program execution, replacing the standard relational semantics for propositional dynamic logic (PDL). Under these new semantics, program execution is represented as fundamentally…

Logic in Computer Science · Computer Science 2018-03-23 Adam Bjorndahl

We present PEC, an Event Calculus (EC) style action language for reasoning about probabilistic causal and narrative information. It has an action language style syntax similar to that of the EC variant Modular-E. Its semantics is given in…

Artificial Intelligence · Computer Science 2017-07-03 Fabio Aurelio D'Asaro , Antonis Bikakis , Luke Dickens , Rob Miller

This work describes our group's submission to the PROCESS Challenge 2024, with the goal of assessing cognitive decline through spontaneous speech, using three guided clinical tasks. This joint effort followed a holistic approach,…

Clarithmetics are number theories based on computability logic (see http://www.csc.villanova.edu/~japaridz/CL/ ). Formulas of these theories represent interactive computational problems, and their "truth" is understood as existence of an…

Logic in Computer Science · Computer Science 2023-06-22 Giorgi Japaridze

Action models are semantic structures similar to Kripke models that represent a change in knowledge in an epistemic setting. Whereas the language of action model logic embeds the semantic structure of an action model directly within the…

Logic in Computer Science · Computer Science 2014-06-10 Tim French , James Hales , Edwin Tay

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

Logic in Computer Science · Computer Science 2011-02-08 Giorgi Japaridze