منابع مشابه
Linear Läuchli Semantics
We introduce a linear analogue of Lauchli's semantics for intuitionistic logic. In fact, our result is a strengthening of L auchli's work to the level of proofs, rather than provability. This is obtained by considering continuous actions of the additive group of integers on a category of topological vector spaces. The semantics, based on functorial polymorphism, consists of dinatural transfor...
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We use formal semantic analysis based on new, model-theoretic constructions to generate intuitive confidence that the Heyting Calculus is an appropriate system of deduction for constructive reasoning. Well-known modal semantic formalisms have been defined by Kripke and Beth, but these have no formal concepts corresponding to constructions, and shed little intuitive light on the meanings of form...
متن کاملLinear Ll Auchli Semantics
Dedicated to the memory of Moez Alimohamed Abstract We introduce a linear analogue of LL auchli's semantics for intuitionistic logic. In fact, our result is a strengthening of LL auchli's work to the level of proofs, rather than provability. This is obtained by considering continuous actions of the additive group of integers on a category of topological vector spaces. The semantics, based on fu...
متن کاملProfunctor Semantics for Linear Logic
Linear logic is a sort of “resource-aware” logic underlying intuitionistic logic. Investigations into the proof theory of this logic typically revolve around proof nets, certain two-dimensional graphical representations of proofs. Where sequent calculus deductions enforce arbitrary distinctions between proofs and complicate these investigations, proof nets represent sequent calculus deductions ...
متن کاملGuiding Linear Deductions with Semantics
Guidance is a central issue in Automatic Theorem Proving systems due to the enormity of the search space that these systems navigate. Semantic guidance uses semantic information to direct the path an ATP system takes through the search space. The use of semantic information is potentially more powerful than syntactic information for guidance. This research aimed to discover a method for incorpo...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 1996
ISSN: 0168-0072
DOI: 10.1016/0168-0072(95)00017-8