压榨机 发表于 2025-3-21 17:59:42
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μ-Calculus via Games (Extended Abstract) on labeled graphs. A fundamental connection was established by Emerson and Jutla [.] and subsequently developed by several authors [., ., ., .]. Essentially, the result is that any formula of the μ-calculus expresses the existence of a strategy in a certain game. The idea of such a correspondence cCOWER 发表于 2025-3-22 04:26:34
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On Continuous Normalizationckert, Buchholz and Schwichtenberg. In an extension of the untyped coinductive λ-calculus by void construcors (so-called repetition rules), a primitive recursive normalization function is defined. Compared with other formulations of continuous normalization, this definition is much simpler and thereObstruction 发表于 2025-3-22 11:42:09
Variants of Realizability for Propositional Formulas and the Logic of the Weak Law of Excluded Middls paper another approach to realizability of propositional formulas is studied. This approach is based on the following informal idea: a formula is realizable if it has a “simple” realization for each substitution. More precisely, logical connectives are interpreted as operations on sets of natural储备 发表于 2025-3-22 14:19:31
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Greibach Normal Form in Algebraically Complete Semiringsguages. In particular, we show that Greibach’s normal form theorem depends only on a few equational properties of least pre-fixed-points in semirings, and elimination of chain- and deletion rules depend on their inequational properties (and the idempotency of addition). It follows that these normaloracle 发表于 2025-3-23 09:12:11
Proofnets and Context Semantics for the Additivesed with cut-elimination on MALL sequents. The results extend the program of Gonthier, Abadi, and Lévy, who provided a “geometry of optimal λ-reduction” (context semantics) for λ-calculus and Multiplicative-Exponential Linear Logic (MELL). We integrate three features: a semantics that uses . to imple