Seventy-five problems for testing automatic
... be for another, (b) researchers are understandably shy about saying what problems their ATP might have, unless they know that it is so difficult that any ATP will have trouble with it, (c) especially with problems at the ‘easy end’ of the scale, researchers are prone to think that any ATP system can ...
... be for another, (b) researchers are understandably shy about saying what problems their ATP might have, unless they know that it is so difficult that any ATP will have trouble with it, (c) especially with problems at the ‘easy end’ of the scale, researchers are prone to think that any ATP system can ...
Satisfiability is Decidable for a Fragment of AMSO Logic on Infinite
... in three steps. In the first step, the satisfiability of AMSOnp is reduced to the limit satisfiability problem. The idea is to chop an infinite word into infinitely many finite pieces that have the same theory (using repeated use of the Theorem of Ramsey). Originally, this is a theory with respect t ...
... in three steps. In the first step, the satisfiability of AMSOnp is reduced to the limit satisfiability problem. The idea is to chop an infinite word into infinitely many finite pieces that have the same theory (using repeated use of the Theorem of Ramsey). Originally, this is a theory with respect t ...
Right associative exponentiation normal forms and properties
... In general expressing a number as a power results in a shorter expression; for instance, 2 ↑ 64 is shorter than 18446744073709551616. If the rule “if possible represent an integer by a power” is applied recursively, the sorter expression representing an integer is its exponential normal form. Howeve ...
... In general expressing a number as a power results in a shorter expression; for instance, 2 ↑ 64 is shorter than 18446744073709551616. If the rule “if possible represent an integer by a power” is applied recursively, the sorter expression representing an integer is its exponential normal form. Howeve ...
Restricted versions of the Tukey-Teichmüller Theorem that are
... The Tukey-Teichmüller Theorem seems tailor-made for certain applications. For example, it can be used to prove that every vector space has a basis by simply noting that the property of being linearly independent has finite character. Another nice application is a proof of the Alexander Subbase Theo ...
... The Tukey-Teichmüller Theorem seems tailor-made for certain applications. For example, it can be used to prove that every vector space has a basis by simply noting that the property of being linearly independent has finite character. Another nice application is a proof of the Alexander Subbase Theo ...
Appendix 3 - UCLA Department of Mathematics
... of the the immediate successors of β with respect to C. By (iv) and (v), we can—and do—make <β isomorphic to the standard ordering of the rationals. Let b and b0 be distinct branches of (T ; C). By (vii), there is a C-greatest β that belongs to both b and b0 . Let γ and γ 0 be the immediate C-succes ...
... of the the immediate successors of β with respect to C. By (iv) and (v), we can—and do—make <β isomorphic to the standard ordering of the rationals. Let b and b0 be distinct branches of (T ; C). By (vii), there is a C-greatest β that belongs to both b and b0 . Let γ and γ 0 be the immediate C-succes ...
