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Stop comparing spells: a defense of mechanistic reasoning in quantitative medicine. [PDF]
Mangalam M, Kiyono K.
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Reverse Mathematics and Ordinal Multiplication
Mathematical Logic Quarterly, 1998AbstractThis paper uses the framework of reverse mathematics to analyze the proof theoretic content of several statements concerning multiplication of countable well‐orderings. In particular, a division algorithm for ordinal arithmetic is shown to be equivalent to the subsystem ATR0.
Jeffry L. Hirst
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REVERSE MATHEMATICS OF MF SPACES
Journal of Mathematical Logic, 2006This paper gives a formalization of general topology in second-order arithmetic using countably based MF spaces. This formalization is used to study the reverse mathematics of general topology. For each poset P we let MF (P) denote the set of maximal filters on P endowed with the topology generated by {Np | p ∈ P}, where Np = {F ∈ MF (P) | p ∈ F}. We
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Graph Coloring and Reverse Mathematics
MLQ, 2000The author proves that for any natural numbers \(k\) and \(m\) such that \(2 \leq k \leq m\), \(\text{RCA}_0\) proves that \(\text{WKL}_0\) is equivalent to the statement ``if every finite subset of a graph can be \(k\)-colored, then the entire graph can be \(m\)-colored.'' Here, \(\text{RCA}_0\) and \(\text{WKL}_0\) are subsystems of arithmetic used ...
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Reverse mathematics and semisimple rings
Archive for Mathematical Logic, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Reverse Mathematics, Projective Modules and Invertible Modules
Lecture Notes in Computer Science, 2020Huishan Wu
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The Dirac delta function in two settings of Reverse Mathematics
Archive for Mathematical Logic, 2011Keita Yokoyama, Sam Sanders
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Reverse Mathematics and Grundy colorings of graphs
Mathematical Logic Quarterly, 2010James Henry Schmerl
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