WebJan 29, 2024 · By applying matching theory, we obtain new results for MLL+Mix proof nets: a linear-time correctness criterion, a quasi-linear sequentialization algorithm, and a … WebProof Nets for Unit-free Multiplicative-Additive Linear Logic DOMINIC J. D. HUGHES and ROB J. VAN GLABBEEK Stanford University A cornerstone of the theory of proof nets for unit …
Proof nets: cographs and perfect matchings - LIRMM
WebProof nets for MLL, MILL, MILL1, L , labeled proof nets and proof nets for NL3R. This last proof net calculus is new, and we will provide a correction criterion for this calculus and prove soundness and completeness results. Part III builds on the proof nets for NL3R and contains reflections on automated deduction using proof nets, an analysis ... WebIn addition, we show that affine logic and MLL + MIX are not appropriate for this framework. That explains why MLL is better than such similar logics. 1 Introduction ... (MLL Proof Nets) An MLL proof structure Θis an MLL proof net if Θis sequentializable. Next we give a graph-theoreticcharacterizationof MLL proof nets, following [Gir96]. The ... dj tira ft makhadzi red card remix
Lecture Verifiable Mix-Net Voting - MIT OpenCourseWare
Web(resp. MLL+Mix) proof nets may be presented as inductive derivation trees, which are isomorphictotheusualsequentcalculusproofs ofMLL(resp.MLL+Mix): seeFigure2for anexample, andFigure3fortheinferencerulesofthesequentcalculus. Anexampleof … WebP1: IAZ ACMJ086-07 ACM-TRANSACTION September 21, 2005 3:21 4 • D. J. D. Hughes and R. J. van Glabbeek Fig. 4. Example of composition f, g → gf in our category N of cut-free proof nets. Objects are MALL formulas, and a morphism h: A → B is a cut-free proof net on the sequent A⊥, B. The morphisms f (top-left) and g (top-right) are the left- and right … WebSubnets of proof-nets in multiplicative linear logic with MIX Gianluigi Bellin 1 Abstract: This paper studies the properties of the subnets of a proof-net for first-order Multiplicative Linear Logic without propositional constants (MLL−), extended with the rule of Mix: from [vdash ]Γ and [vdash ]Δ infer [vdash ]Γ, Δ. dj toby tarrant