Congruent number problems and their variants
... degree n 3 has no nontrivial solutions in integers .a; b; c/. Here, by a nontrivial solution we mean a triple of integers .a; b; c/ with abc ¤ 0 satisfying the equation. This is the celebrated proof of Fermat’s Last Theorem [Wiles 1995; Taylor and Wiles 1995]. More generally, one considers a gener ...
... degree n 3 has no nontrivial solutions in integers .a; b; c/. Here, by a nontrivial solution we mean a triple of integers .a; b; c/ with abc ¤ 0 satisfying the equation. This is the celebrated proof of Fermat’s Last Theorem [Wiles 1995; Taylor and Wiles 1995]. More generally, one considers a gener ...
INDEX SETS FOR n-DECIDABLE STRUCTURES CATEGORICAL
... isomorphic but not computably isomorphic (see [7]). Mal’cev in [23] studied the question of uniqueness of a constructive enumeration for a model and introduced the notion of a recursively stable model. Later in [24] he built isomorphic computable infinite-dimensional vector spaces that were not comp ...
... isomorphic but not computably isomorphic (see [7]). Mal’cev in [23] studied the question of uniqueness of a constructive enumeration for a model and introduced the notion of a recursively stable model. Later in [24] he built isomorphic computable infinite-dimensional vector spaces that were not comp ...
August, 2011 Burlington Edison Mathematics Benchmark
... Model addition by joining sets of objects that have 10 or fewer total objects when joined and model subtraction by separating a set of 10 or fewer objects. Describe a situation that involves the actions of joining (addition) or separating (subtraction) using words, pictures, objects, or numbers. Ide ...
... Model addition by joining sets of objects that have 10 or fewer total objects when joined and model subtraction by separating a set of 10 or fewer objects. Describe a situation that involves the actions of joining (addition) or separating (subtraction) using words, pictures, objects, or numbers. Ide ...
How complicated is the set of stable models of a recursive logic
... recursive program (Theorem 3.3). Thus the problem of finding a stable model of a recursive program and the problem of finding an infinite path through a countably branching recursive tree are essentially equivalent. An important consequence of these correspondences is that the following problem is Σ ...
... recursive program (Theorem 3.3). Thus the problem of finding a stable model of a recursive program and the problem of finding an infinite path through a countably branching recursive tree are essentially equivalent. An important consequence of these correspondences is that the following problem is Σ ...
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... to find a program that satisfies a mathematical model (i.e., a required set of properties) that is correct-by-construction. The synthesis problem has mainly been studied in two contexts: synthesizing programs from specification, where the entire specification is given, and synthesizing programs from ...
... to find a program that satisfies a mathematical model (i.e., a required set of properties) that is correct-by-construction. The synthesis problem has mainly been studied in two contexts: synthesizing programs from specification, where the entire specification is given, and synthesizing programs from ...
Conjecture
... RWD(G) CWD(G), CWD(H) 2 RWD(G)+1-1 What are the maximum and minimum values of CWD(H) ? Can one characterize the graphs that realize these values ? ...
... RWD(G) CWD(G), CWD(H) 2 RWD(G)+1-1 What are the maximum and minimum values of CWD(H) ? Can one characterize the graphs that realize these values ? ...
