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Tautology Elimination, Cut Elimination, and S5

open access: yesLogic and Logical Philosophy, 2017
Tautology elimination rule was successfully applied in automated deduction and recently considered in the framework of sequent calculi where it is provably equivalent to cut rule. In this paper we focus on the advantages of proving admissibility of tautology elimination rule instead of cut for sequent calculi.
openaire   +3 more sources

Partial cut elimination for combinations of propositional multi-modal logics with past time

open access: yesLietuvos Matematikos Rinkinys, 2011
We consider combinations of nine propositional multi-modal logics with propositional discrete linear time temporal logic with past time. For these combinations, we present sound and complete Gentzen-type sequent calculi with a restricted cut rule.
Jūratė Sakalauskaitė
doaj   +1 more source

The Basics of Display Calculi [PDF]

open access: yes, 2017
The aim of this paper is to introduce and explain display calculi for a variety of logics. We provide a survey of key results concerning such calculi, though we focus mainly on the global cut elimination theorem.
Eckhardt, Timo   +3 more
core   +2 more sources

On Combining Intuitionistic and S4 Modal Logic

open access: yesBulletin of the Section of Logic
We address the problem of combining intuitionistic and S4 modal logic in a non-collapsing way inspired by the recent works in combining intuitionistic and classical logic.
João Rasga, Cristina Sernadas
doaj   +1 more source

Composite power system reliability evaluation using modified minimal cut set approach

open access: yesAlexandria Engineering Journal, 2018
The composite power system reliability analysis is generally based on minimal path or cut enumeration, tracing of power flow paths from which the related reliability indices are calculated.
T. Bharath Kumar   +2 more
doaj   +1 more source

A New Arithmetically Incomplete First- Order Extension of Gl All Theorems of Which Have Cut Free Proofs [PDF]

open access: yes, 2016
Reference [12] introduced a novel formula to formula translation tool (“formulators”) that enables syntactic metatheoretical investigations of first-order modal logics, bypassing a need to convert them first into Gentzen style logics in order to rely on ...
Tourlakis, George
core   +1 more source

On Nested Sequents for Constructive Modal Logics [PDF]

open access: yesLogical Methods in Computer Science, 2015
We present deductive systems for various modal logics that can be obtained from the constructive variant of the normal modal logic CK by adding combinations of the axioms d, t, b, 4, and 5.
Lutz Strassburger   +2 more
doaj   +1 more source

Novikov's Cut Elimination

open access: yesLogique et Analyse, 2018
This is an exposition of Novikov's cut-elimination procedure for a Hilbert-style formulation of the first-order predicate calculus, which depends on a property of formulas introduced by him, called 'regularity'. A comparison with other methods is outlined.
openaire   +2 more sources

Cut elimination by unthreading

open access: yesArchive for Mathematical Logic, 2023
AbstractWe provide a non-Gentzen, though fully syntactical, cut-elimination algorithm for classical propositional logic. The designed procedure is implemented on $$\textsf{GS4}$$ GS 4 , the one-sided version of Kleene’s sequent system $$\textsf{G4}$$
openaire   +4 more sources

Personalized Selumetinib Dosing in Pediatric Neurofibromatosis Type 1: Insights From a Pilot Therapeutic Drug Monitoring Study

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Objective To evaluate selumetinib exposure using therapeutic drug monitoring (TDM) in pediatric patients with neurofibromatosis type 1 (NF1) and plexiform neurofibromas (PN), assess interpatient pharmacokinetic variability, and explore the relationship between drug exposure, clinical response, and adverse effects.
Janka Kovács   +8 more
wiley   +1 more source

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