Browsing by Subject "Cover"

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    Covering a rectangular chessboard with staircase walks
    (Elsevier, 2015) Kerimov, A.
    Let C(n, m) be a n×m chessboard. An ascending (respectively descending) staircase walk on C(n, m) is a rook’s path on C(n, m) that in every step goes either right or up (respectively right or down). We determine the minimal number of ascending and descending staircase walks covering C(n, m).
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    Stability of covers under different rights structures
    (2012) Akbulut, Çiğdem
    A countryís social welfare depends on Örmsí proÖts and consumersí surplus. Given unions of countries, a countryís aim is to maximize its own social welfare when it decides to enter or exit a union. For examining unions, we use the notion of a cover as elaborated in Koray (2007).We utilize the Öndings of Ilk¨l¨Á · (2010) about the Cournot equilibrium in our setting to examine core stability and e¢ ciency of covers of countries.We adapt di§erent rightsístructures based on; free exit, free entry, approved exit and approved entry introduced by Sertel (1992) to the context of covers, along with introducing some stronger structures and study how stability of covers varies when linkage costs are imposed upon countries.
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    Superplurals analyzed away
    (Routledge, 2025-01-23) Nicolas, David; Payton, Jonathan D.
    Many natural languages include plural terms, i.e. terms which denote many individuals at once. Are there also superplural terms, i.e. terms which denote many pluralities of individuals at once? Some philosophers say 'Yes', citing a range of sentence types which apparently can't be analyzed in a first-order plural logic, but which can be analyzed in a superplural one. We argue that all the data presented in favor of the superplural can, in fact, be analyzed using only first-order resources. The key is to add to ordinary plural logic a new notion of a generalized cover. A generalized cover reflects how interlocutors in a conversation may divide a salient plurality into many subpluralities, which can then be involved in reference and predication. With generalized covers in place, all the apparently troublesome sentences can be easily handled. Our approach can also be extended to account, not only for linguistic data which seem to favor the superplural but also for other phenomena involving plurals. The result is a unified approach to natural language plurals on which superplurals are analyzed away.