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EXPLORATION AN OF DIAGRAMS IN STRING COMPUTER SCIENCE DOMINIC VERITY CENTRE OF AUSTRALIAN CATEGORY THEORY MACQUARIE UNIVERSITY WORKSHOP DRHE UNIVERSITY OF NEWCASTLE 10k NOVEMBER 2018 VEIT CATEGORY OF FINITE DIMENSIONAL VECTOR SPACES IR


  1. EXPLORATION AN OF DIAGRAMS IN STRING COMPUTER SCIENCE DOMINIC VERITY CENTRE OF AUSTRALIAN CATEGORY THEORY MACQUARIE UNIVERSITY WORKSHOP DRHE UNIVERSITY OF NEWCASTLE 10k NOVEMBER 2018

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  4. ANAXIOMATISATION OFTRACE SYMMETRC MONOIDAL CATEGORY G I Emma nine Time MONOIDAL OPERATION ON ARROWS EXTRA AN ADD t.tw turns xx V U V U U W TraYuff f O O Homl44uT Tru.uitlomluxou.HU WHAT AXIOMS QUESTION SHOULD SATISFY ABSTRACT TRACE OPERATION THE

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  19. THESEMANTICCIATEGORY AND SETS OF PAI THE CATEGORY PARTIAL FUNCTIONS DIS JOINT UNION 1 for UNIT EMPTY SET A SYMMETRIC MONOIDAL CATEGORY THIS IS ADMITS A CRUCIALLY Per 1 IMPORTANT TRACE COMPUTATIONALLY Vtw f Ut W 5 I F ko IFF an Tra f v a Xi EU AND eien xn Xo AND V U f AND Xiii Osian Xi At Xo pen WE trace oo7 CALL EicTgI f Execution

  20. f t igh n.si W NEVER ITERATING f MAY V US TO LEAD ITS TOTAL f IS EVEN IF TRACE Tray f NEED NOT BE PARTIAL That f IS THE IF ALSO MAY GET Stuck ITERATING IT Process of

  21. ITERATION THE PROPOSITI ABOVE MAKES DEFINED TRACE A SYMMETRIC Pad 1,0 INTO TRACED MONOIDAL CATEGORY I IS THE THIS TMC AN OF EXAMPLE UR CATEGORY ITERATION

  22. THESEMANTICFUNCTOI PAR D It Lf O O II.to fE Ef w Stole State Stole IIe I copies n State e 1 State Escoe EeDs S s xi 1 i

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  25. Proposition EQUIVALENCE TAKING ON OF Lf ARROWS OF CLASSES EQUIVALENCE THE UNDER RELATION EGI EFI G F n CATEGORY Fter A GET WE A TRACED MONOIDAL INHERITS THIS From Pad STRUCTURE CATEGORY THE IS WITH COMPATIBLE WHICH of THE MEANINGS INTENDED AND Trt D FIG FjG combinations OF TMC FLOWCHARTS THE THIS IS OF COMPUTATION NOTION THIS FOR

  26. WE MIGHT IDGITIFY NOW FLOWCHART DIA WITH Arms TMC Flow THE DIAartms IN MANY ALGEBRAIC PROPERTIES MAY BE FLOWCHARTS OF From DERIVED THE TMC FORMALISM Flowchthts THAT ARE SHOWN BE TMC Earth USING TO DIAGRAMMATIC REASONING DEFINE MACHINE THE SAME

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