Results 51 to 60 of about 2,335,588 (204)

Introduction to mathematical logic

open access: yes, 2015
The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the ...
Mendelson, Elliott, Elliott Mendelson
core   +1 more source

Logic of Typical and Atypical Instances of a Concept—A Mathematical Model

open access: yes, 2019
In this paper, we give a mathematical model of the logic of determination of objects (LDO) based on preordered sets, and a mathematical model of the logic of typical and atypical instances (LTA). We prove that LTA is an extension of LDO.
Jean-Pierre Desclés   +1 more
core   +1 more source

Modalities in medieval logic [PDF]

open access: yes, 2009
This dissertation is an exercise in conceptual archeology. Using the tools of contemporary logic we analyse texts in medieval logic and reconstruct their logical theories by creating a formal framework which models them. Our focus is medieval texts which
Uckelman, S.L., Uckelman, Sara L.
core   +20 more sources

Amortised resource analysis with separation logic [PDF]

open access: yes, 2011
Type-based amortised resource analysis following Hofmann and Jost—where resources are associated with individual elements of data structures and doled out to the programmer under a linear typing discipline—have been successful in providing concrete ...
Atkey, Robert
core   +2 more sources

The prospects for mathematical logic in the twenty-first century [PDF]

open access: yes, 2001
The four authors present their speculations about the future developments of mathematical logic in the twenty-first century. The areas of recursion theory, proof theory and logic for computer science, model theory, and set theory are discussed ...
Kechris, Alexander S.   +3 more
core  

Connectivity of complexes of separating curves [PDF]

open access: yes, 2013
We prove that the separating curve complex of a closed orientable surface of genus g is (g − 3)-connected. We also obtain a connectivity property for a separating curve complex of the open surface that is obtained by removing a finite set from a closed ...
Sub Algebra,Geometry&Mathem. Logic begr.   +2 more
core   +1 more source

Normativity and its vindication: The case of Logic [PDF]

open access: yes, 2004
Physical laws are irresistible. Logical rules are not. That is why logic is said to be normative. Given a system of logic we have a Norma, a standard of correctness.
Martínez Vidal, Concha   +1 more
core   +1 more source

Logic as Mathematical Science

open access: yesAnnals of the Japan Association for Philosophy of Science, 1963
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Games as mathematics of logic and computation [PDF]

open access: yes, 2019
Mathematical logic and theoretical computer science are the mathematical studies of logic and computation, respectively, which largely correspond to each other notably by the Curry-Howard isomorphism.
Yamada, Norihiro
core   +1 more source

Bridging Knowledge and Learning: A Multi-Axis Analytical Survey for Neurosymbolic Artificial Intelligence

open access: yesMachine Learning and Knowledge Extraction
Neurosymbolic AI (NeSy AI) seeks to integrate the strengths of symbolic reasoning with computational learning methods, addressing fundamental challenges of each paradigm in isolation.
Sotiris Zikas   +3 more
doaj   +1 more source

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