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020 _a9783642547898
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024 7 _a10.1007/978-3-642-54789-8
_2doi
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_2bicssc
072 7 _aCOM014000
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082 0 4 _a005.131
_223
245 1 0 _aCategories and Types in Logic, Language, and Physics
_h[electronic resource] :
_bEssays dedicated to Jim Lambek on the Occasion of this 90th Birthday /
_cedited by Claudia Casadio, Bob Coecke, Michael Moortgat, Philip Scott.
250 _a1st ed. 2014.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2014.
300 _aXII, 421 p. 61 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
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490 1 _aTheoretical Computer Science and General Issues,
_x2512-2029 ;
_v8222
505 0 _aSemantic Unification: A Sheaf Theoretic Approach to Natural Language -- On Residuation -- Type Similarity for the Lambek-Grishin Calculus Revisited -- NP-Completeness of Grammars Based Upon Products of Free Pregroups -- Distributional Semantics: A Montagovian View -- A Logical Basis for Quantum Evolution and Entanglement -- Learning Lambek Grammars from Proof Frames -- Multi-Sorted Residuation -- Italian Clitic Patterns in Pregroup Grammar: State of the Art -- On Associative Lambek Calculus Extended with Basic Proper Axioms -- Classical Structures Based on Unitaries -- Initial Algebras of Terms with Binding and Algebraic Structure -- Abstract Tensor Systems as Monoidal Categories -- On Canonical Embeddings of Residuated Groupoids -- L-Completeness of the Lambek Calculus with the Reversal Operation Allowing Empty Antecedents -- A Note on Multidimensional Dyck Languages -- Extended Lambek Calculi and First-Order Linear Logic -- A Categorial Type Logic -- Chasing Diagrams in Cryptography -- The Monotone Lambek Calculus Is NP-Complete -- A Mathematical Analysis of Masaccio's Trinity -- Conjoin ability in 1-Discontinuous Lambek Calculus -- The Hidden Structural Rules of the Discontinuous Lambek Calculus.
520 _aFor more than 60 years, Jim Lambek has been a profoundly inspirational mathematician, with groundbreaking contributions to algebra, category theory, linguistics, theoretical physics, logic and proof theory. This Festschrift was put together on the occasion of his 90th birthday. The papers in it give a good picture of the multiple research areas where the impact of Jim Lambek's work can be felt. The volume includes contributions by prominent researchers and by their students, showing how Jim Lambek's ideas keep inspiring upcoming generations of scholars.
650 0 _aMachine theory.
_9161476
650 0 _aComputer science.
_99832
650 0 _aComputers
_xHistory.
_923463
650 1 4 _aFormal Languages and Automata Theory.
_9161477
650 2 4 _aTheory of Computation.
_9161478
650 2 4 _aComputer Science Logic and Foundations of Programming.
_942203
650 2 4 _aHistory of Computing.
_932123
650 2 4 _aComputer Science.
_99832
700 1 _aCasadio, Claudia.
_eeditor.
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700 1 _aCoecke, Bob.
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700 1 _aMoortgat, Michael.
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_9161481
700 1 _aScott, Philip.
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_9161482
710 2 _aSpringerLink (Online service)
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773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783642547881
776 0 8 _iPrinted edition:
_z9783642547904
830 0 _aTheoretical Computer Science and General Issues,
_x2512-2029 ;
_v8222
_9161484
856 4 0 _uhttps://doi.org/10.1007/978-3-642-54789-8
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