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Titlebook: Computational Logic and Proof Theory; 5th Kurt Gödel Collo Georg Gottlob,Alexander Leitsch,Daniele Mundici Conference proceedings 19971st e

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楼主: FERN
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Invariant definability,efinability and definability with built-in relations) and establish connections between them. In descriptive complexity theory, invariant definability is mostly used with a linear order (or a successor relation) as the auxiliary relation. We formulate a conjecture which spells out the special role l
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Restart tableaux with selection function, clauses: .-ordered tableaux, tableaux with selection function, and strict restart model elimination. We present two new sound and complete abstract tableau calculi which generalize these on the ground level. This makes differences and similarities between the calculi clearer and, in addition, gives
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,Two semantics and logics based on the Gödel interpretation, its Dialectica interpretation in the language of arithmetic in all finite types. The translation (..)° of .. back into the language of first-order arithmetic using the system . of hereditary recursive operations is considered. The theories T. and T. consist of arithmetic sentences . such that (..)°
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https://doi.org/10.1007/978-3-642-52190-4 a natural ordering on trees. We present alternating logarithmic time algorithms for the tree isomorphism problem, the tree canonization problem and the tree comparison problem. As a consequence, there is a recursive enumeration of the alternating log time tree problems.
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Der „Mensch“ im Prolog des IV. Evangeliums completeness and the eliminability of cut are sketched along with three applications: The foundations for recursive definitions of well-founded and non-well founded predicates, classical and intuitionistic second order arithmetic, and a study of Cantor‘s diagonal argument and paradox.
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Studien zum Problem der Identität is mostly used with a linear order (or a successor relation) as the auxiliary relation. We formulate a conjecture which spells out the special role linear order plays in capturing complexity classes with logies and prove two special cases.
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