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Untyping Typed Algebraic Structures and Colouring Proof Nets of Cyclic Linear Logic [chapter]

Damien Pous
2010 Lecture Notes in Computer Science  
Some of these theorems are obtained via a detour through fragments of cyclic linear logic, and give rise to a substantial optimisation of standard proof search algorithms.  ...  We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be derived from the underlying untyped equations  ...  We warmly thank Olivier Laurent, Tom Hirschowitz and the Choco band for the highly stimulating discussions we had about this work.  ... 
doi:10.1007/978-3-642-15205-4_37 fatcat:mj4j4ui2evey3lgqkg5io4pxou

Untyping Typed Algebras and Colouring Cyclic Linear Logic

Damien Pous, Helmut Veith
2012 Logical Methods in Computer Science  
Some of these theorems are obtained via a detour through fragments of cyclic linear logic, and give rise to a substantial optimisation of standard proof search algorithms.  ...  We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be derived from the underlying untyped equations  ...  We are grateful to Olivier Laurent and Tom Hirschowitz for the highly stimulating discussions we had on linear logic and about this work.  ... 
doi:10.2168/lmcs-8(2:13)2012 fatcat:kaevar7mnjbt7io2lvbcn5qzgi

Subject index volumes 1–200

1999 Theoretical Computer Science  
, 1122 second-order polymorphic h-calculus, 1664 Girard's linear logic, 2148, 2188, 2203 model of polymorphism, 1294 proof nets, 2189 system F, 1078,2101,2312 system F, (3299 Gire, 1429 girth  ...  -, 55 1 well-quasi-orderings, 1318 well-quasi-orders, 789 well-shaped segment, 3496 well-structured programs, 541 well-typed formulae, 2146 programs, translation of -, 3009 terms, 1664 well-typedness  ... 
doi:10.1016/s0304-3975(98)00319-3 fatcat:s22ud3iiqjht7lfbtc3zctk7zm

Stellar Resolution: Multiplicatives [article]

Boris Eng
2020 arXiv   pre-print
We then explain how it can represent multiplicative proof-structures, their cut-elimination and the correctness criterion of Danos and Regnier.  ...  Further use of realisability techniques lead to dynamic semantics for Multiplicative Linear Logic, following previous Geometry of Interaction models.  ...  proofs in linear logic.  ... 
arXiv:2007.16077v1 fatcat:3bvzl6f42rcl7dvtb336ttntiq

Change actions: from incremental computation to discrete derivatives [article]

Mario Alvarez-Picallo
2020 arXiv   pre-print
of Ehrhard and Regnier's differential lambda-calculus.  ...  To this end we define and explore the notions of change actions and differential maps between change actions and show how these notions relate to incremental computation through the concrete example of  ...  On one hand, the theory of proof nets and, more generally, interaction nets [64, 46] , graphical formalisms for studying proofs and proof reduction in linear logic, have been extended to the differential  ... 
arXiv:2002.05256v2 fatcat:o6zzymbz5rcgbgamuqve2fkyou

Termination Analysis of Higher-Order Functional Programs [chapter]

Damien Sereni, Neil D. Jones
2005 Lecture Notes in Computer Science  
This was proposed for strict firstorder programs, and a termination analysis of the pure untyped λ-calculus was subsequently obtained in this framework.  ...  , in particular the simply-typed λ-calculus.  ...  By the Curry-Howard isomorphism we may view types as logical formulae, and programs then represent proofs.  ... 
doi:10.1007/11575467_19 fatcat:xiqkc25wxvc3dg5grminbnmm6u

Organizing committee Sponsor

Tarmo Uustalu, Jüri Vain, Juhan Ernits, Wang Yi, Tarmo Uustalu, Monika Perkmann
2008 Nordic Workshop on Programming Theory NWPT   unpublished
logics, formal specification of programs, program verification, program construction, program transformation and refinement, real-time and hybrid systems, models of concurrent, distributed and mobile  ...  The scope of the meetings covers traditional as well as emerging disciplines within programming theory: semantics of programming languages, programming language design and programming methodology, programming  ...  We are grateful to the members of both projects for discussions on type systems and program logics for information flow.  ... 
fatcat:hoaq5jc5xzfrdmsnrvhbl7be34

Multilevel Modelling and Domain-Specific Languages [article]

Fernando Macías
2020 arXiv   pre-print
MTs can be exploited by MLM, becoming a precise and reusable definition of behaviour.  ...  This thesis presents a MLM and Multilevel MT approach which tackles open issues in the field and compares it with the state of the art through literature review and experiments, providing its formalisation  ...  We present a new version of Linear Temporal Logic which adds: (1) distributed evaluation of properties, (2) usage of explicit time constraints and (3) usage of a 4-valued boolean algebra which accounts  ... 
arXiv:1910.03313v2 fatcat:gw6zslbtxbdnfl5gyrdie46sbq

ON SYMBOLIC REPRESENTATIONS OF MUSIC Presentato da

Carmine Cella
unpublished
logical structure.  ...  Interpretation of the new algebra The interpretation of the given postulates leads to the definition of the formal structure of music.  ...  represents the successor operator, λatom.type represents the type creation by classification and type 1 type 2 represents the summation of types.  ... 
fatcat:wqkl3aywcbefzj2b7plqlrwqyi

Set based failure diagnosis for concurrent constraint programming [article]

Martin Ludwig Müller, Universität Des Saarlandes, Universität Des Saarlandes
2004
data structures, cells, and records, and we highlight the restrictions of Plain with respect to Oz.  ...  We define Plain, and we show that an expressive strong type system is possible for a language that combines key features of Oz, namely higher-order procedures, logic variables and partially determined  ...  This includes for instance boolean conditionals and boolean types, multiple-clause case-statements and variant types, and also recursive types as needed for cyclic data structures.  ... 
doi:10.22028/d291-25722 fatcat:wuc4nibn6natrcqcbgmi7svx5a

2015 Jahresbericht Annual Report

Registernummer Amtsgericht, Saarbrücken Hrb, Vorsitzender Des Aufsichtsrates, Ing, Jähnichen Stefan, Raimund Geschäftsführung, Seidel, Meißner Heike, Gesellschafter
unpublished
We would like to thank Dagmar Glaser and the staff at Schloss Dagstuhl for their continuous support and great hospitality which was the basis for the success of this seminar. Acknowledgements.  ...  Martin Rinard for his support and contribution to the organization of the seminar. We thank Sara Achour for her help with preparing the full report.  ...  Psd rank has inherent semi algebraic structure and its study crosses over into real and convex algebraic geometry, algebraic complexity, and semidefinite programming.  ... 
fatcat:tzkatxrngzbj7j3qvr7j7znvla

LIPIcs, Volume 11, ICLP'11, Complete Volume [article]

John P. Gallagher, Michael Gelfond
2013
Acknowledgements We acknowledge the support of Morgan Stanley Business and Technology Centre, Budapest in the development of the Q type checker system. We are especially grateful to Balázs G.  ...  NICTA is funded by the Department of Broadband, Communications and the Digital Economy, and the Australian Research Council.  ...  sizes, and net is the x-coordinate of the net.  ... 
doi:10.4230/lipics.iclp.2011 fatcat:3nmujmpwyzfibb4nlkgrofavee

A new Nested Graph Model for Data Integration

Giacomo Bergami
2018
Proof. This corollary is proved by the linearity of ⊕.  ...  Proof. This corollary is proved by the linearity of ⊕.  ...  Therefore: Moreover, each of the v ′ c+1 must have the same label of v c (ℓ(v ′ c+1 ) ∶= ℓ(v c )) and must share its same attributes (φ(v ′ c+1 ) = φ(v c )).  ... 
doi:10.6092/unibo/amsdottorato/8348 fatcat:4tfvtyhvhngejolqpooseqrkqu

Applied mathematics, 16–19 [article]

Peter K. Armstrong
2021
The dissertation is concerned with the role or applied mathematics in the curriculum, 16–19, and considers the validity or reasons which are advanced for it to continue in that role. [Continues.]  ...  had replaced laborious proof and rigidly logical sequence.  ...  and map colouring.  ... 
doi:10.26174/thesis.lboro.13525844 fatcat:23jsarhngzc4rlq2ukrelcs5ie

Editorial Associate: Position Papers of the 2016 Federated Conference on Computer Science and Information Systems

Maria Ganzha, Leszek Maciaszek, Marcin Paprzycki, Maria Ganzha, Leszek Maciaszek, Marcin Paprzycki, Wil Van Der Aalst, Marco Aiello, Mohammed Atiquzzaman, Barrett Bryant, Ana Fred, Janusz Górski (+13 others)
Position Papers of the 2015 Federated Conference on Computer Science and Information Systems, ISBN WEB   unpublished
The latter propose and describe research challenges in theory or practice of computer science and information systems.  ...  This is the forth year when position papers have been introduced as a separate category of contributions. They represent emerging research papers and challenge papers.  ...  of methods, to discover the limits of this algorithm; and extra work to implement the parallel version, which uses the advantages of the divide and conquer method.  ... 
fatcat:qfmkssbttfhl7hzaa52qzgoshe
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