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Introduction to mathematical logic
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
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Logic of Typical and Atypical Instances of a Concept—A Mathematical Model
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
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Modalities in medieval logic [PDF]
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.
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Amortised resource analysis with separation logic [PDF]
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
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The prospects for mathematical logic in the twenty-first century [PDF]
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
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Connectivity of complexes of separating curves [PDF]
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
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Normativity and its vindication: The case of Logic [PDF]
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
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Games as mathematics of logic and computation [PDF]
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
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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
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