Results 11 to 20 of about 5,644 (162)

Infinitary action logic with exponentiation [PDF]

open access: yesAnnals of Pure and Applied Logic, 2022
Submitted to a ...
Kuznetsov, Stepan L.   +1 more
openaire   +2 more sources

“Mathematics is the Logic of the Infinite”: Zermelo’s Project of Infinitary Logic

open access: yesStudies in Logic, Grammar and Rhetoric, 2021
In this paper I discuss Ernst Zermelo’s ideas concerning the possibility of developing a system of infinitary logic that, in his opinion, should be suitable for mathematical inferences. The presentation of Zermelo’s ideas is accompanied with some remarks
Pogonowski Jerzy
doaj   +1 more source

A Finite-Model-Theoretic View on Propositional Proof Complexity [PDF]

open access: yesLogical Methods in Computer Science, 2022
We establish new, and surprisingly tight, connections between propositional proof complexity and finite model theory. Specifically, we show that the power of several propositional proof systems, such as Horn resolution, bounded-width resolution, and the ...
Erich Grädel   +3 more
doaj   +1 more source

SMALL INFINITARY EPISTEMIC LOGICS [PDF]

open access: yesThe Review of Symbolic Logic, 2019
AbstractWe develop a series of small infinitary epistemic logics to study deductive inference involving intra-/interpersonal beliefs/knowledge such as common knowledge, common beliefs, and infinite regress of beliefs. Specifically, propositional epistemic logics GL (Lα) are presented for ordinalαup to a givenαo(αo≥ω) so that GL(L0) is finitary ...
Hu, Tai-Wei   +2 more
openaire   +4 more sources

A Coalgebraic Approach to Dualities for Neighborhood Frames [PDF]

open access: yesLogical Methods in Computer Science, 2022
We develop a uniform coalgebraic approach to J\'onsson-Tarski and Thomason type dualities for various classes of neighborhood frames and neighborhood algebras.
Guram Bezhanishvili   +2 more
doaj   +1 more source

Indexed linear logic and higher-order model checking [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2015
In recent work, Kobayashi observed that the acceptance by an alternating tree automaton A of an infinite tree T generated by a higher-order recursion scheme G may be formulated as the typability of the recursion scheme G in an appropriate intersection ...
Charles Grellois, Paul-André Melliès
doaj   +1 more source

"Rule-Following I: The Basic Issues". [PDF]

open access: yesPhilos Compass
Abstract ‘Rule‐following’ is a name for a cluster of phenomena where we seem both guided and “normatively” constrained by something general in performing particular actions. Understanding the phenomenon is important because of its connection to meaning, representation, and content.
Reiland I.
europepmc   +2 more sources

Effective Characterizations of Simple Fragments of Temporal Logic Using Carton--Michel Automata [PDF]

open access: yesLogical Methods in Computer Science, 2013
We present a framework for obtaining effective characterizations of simple fragments of future temporal logic (LTL) with the natural numbers as time domain.
Preugschat Sebastian, Thomas Wilke
doaj   +1 more source

The Pebble-Relation Comonad in Finite Model Theory [PDF]

open access: yesLogical Methods in Computer Science
The pebbling comonad, introduced by Abramsky, Dawar and Wang, provides a categorical interpretation for the k-pebble games from finite model theory.
Yoàv Montacute, Nihil Shah
doaj   +1 more source

On Equivalence of Infinitary Formulas under the Stable Model Semantics [PDF]

open access: yes, 2014
Propositional formulas that are equivalent in intuitionistic logic, or in its extension known as the logic of here-and-there, have the same stable models. We extend this theorem to propositional formulas with infinitely long conjunctions and disjunctions
Harrison, Amelia   +2 more
core   +1 more source

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