Axioms of Versioning Marc de Graauw

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Marc de Graauw

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Intro ,[object Object],[object Object],[object Object],[object Object],[object Object]

Refreshening Set Theory ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Extension of a language ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Extensional equivalence ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Extensional equivalence ,[object Object],[object Object],[object Object]

Accept and Reject ,[object Object],[object Object],[object Object],[object Object]

Semantics of a language ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Semantics and Behavior ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Behavior of message endpoint ,[object Object],[object Object],[object Object],[object Object],[object Object]

Behavior of message endpoint ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

ELx U Lx Px1 “ high”! “ wide”! “ square”!

Processors and Behavior ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Some Idealizations ,[object Object],[object Object],[object Object],[object Object]

Ly Py accept reject MLx ELy U make reject Lx Px accept reject make reject MLy ELx

Syntactical Compatibility ,[object Object],[object Object],[object Object]

Ly Py accept reject MLx = MLy ELx U ELz make reject Lx Px accept reject make reject

Lx+1 Px+1 accept MLx MLx+1 U make reject Lx Px accept make reject ELx = ELx+1

Compatibility and Versioning ,[object Object],[object Object],[object Object],[object Object],[object Object]

ELx U Lx Px1 “ high”! “ wide”! “ square”! MLx SLx,1 SLx,2 SLx,3

ELx+1 U Lx+1 Px+1 “ wide”! “ street”! “ tree”! “ house”! “ high”! “ lawn”! “ square”! “ shed”! “ bush”!

Semantical Equivalence Set ,[object Object],[object Object]

Semantical Equivalence Set ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object]

Conclusion ,[object Object],[object Object],[object Object]

Definitions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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