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THE LOGICAL SYSTEM OF FREGE'S GRUNDGESTZE: A RATIONAL RECONSTRUCTION

open access: yesManuscrito, 2015
This paper aims at clarifying the nature of Frege's system of logic, as presented in the first volume of the Grundgesetze . We undertake a rational reconstruction of this system, by distinguishing its propositional and predicate fragments. This allows us
MÉVEN CADET, MARCO PANZA
doaj   +1 more source

An alternative proof method for possibilistic logic and its application to terminological logics [PDF]

open access: yes, 1993
Possibilistic logic, an extension of first-order logic, deals with uncertainty that can be estimated in terms of possibility and necessity measures. Syntactically, this means that a first-order formula is equipped with a possibility degree or a necessity
Baader   +8 more
core   +2 more sources

A Graph Calculus for Predicate Logic [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2013
We introduce a refutation graph calculus for classical first-order predicate logic, which is an extension of previous ones for binary relations. One reduces logical consequence to establishing that a constructed graph has empty extension, i. e.
Paulo A. S. Veloso, Sheila R. M. Veloso
doaj   +1 more source

Superdeduction in Lambda-Bar-Mu-Mu-Tilde [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2011
Superdeduction is a method specially designed to ease the use of first-order theories in predicate logic. The theory is used to enrich the deduction system with new deduction rules in a systematic, correct and complete way.
Clément Houtmann
doaj   +1 more source

Classical and fuzzy logic evaluation of students' master theses in Matlab Fuzzy Logic Toolbox software: Dealing with subjectivity in human reasoning [PDF]

open access: yesAgroznanje, 2018
The two-level evaluation of defined objectives, presented materials and methods and interpretation of results in master theses was done, in order to estimate their scientific contribution and statistical relevance. First level of evaluation was performed
Hajder Đurađ, Mićić Nikola
doaj   +1 more source

Complete Additivity and Modal Incompleteness [PDF]

open access: yes, 2019
In this paper, we tell a story about incompleteness in modal logic. The story weaves together a paper of van Benthem, `Syntactic aspects of modal incompleteness theorems,' and a longstanding open question: whether every normal modal logic can be ...
Holliday, Wesley H., Litak, Tadeusz
core   +2 more sources

Automating relatively complete verification of higher-order functional programs [PDF]

open access: yes, 2013
We present an automated approach to relatively completely verifying safety (i.e., reachability) property of higher-order functional programs. Our contribution is two-fold.
Kobayashi Naoki   +3 more
core   +1 more source

Towards depth-bounded natural deduction for classical first-order logic [PDF]

open access: yes, 2021
Summary: In this paper we lay the foundations of a new proof-theory for classical first-order logic that allows for a natural characterization of a notion of inferential depth. The approach we propose here aims towards extending the proof-theoretical framework presented by \textit{M. D'Agostino} et al. [Stud. Log. 108, No.
M. D'Agostino, C. Larese, S. Modgil
openaire   +1 more source

Tableau Systems for Epistemic Positional Logics

open access: yesBulletin of the Section of Logic, 2021
The goal of the article is twofold. The first one is to provide logics based on positional semantics which will be suitable for the analysis of epistemic modalities such as ‘agent ... knows/beliefs that ...’.
Mateusz Klonowski   +2 more
doaj   +1 more source

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