Download PDF by Benjamin C. Pierce: Advanced Topics in Types and Programming Languages

By Benjamin C. Pierce

ISBN-10: 0262162288

ISBN-13: 9780262162289

The examine of variety structures for programming languages now touches many components of laptop technology, from language layout and implementation to software program engineering, community defense, databases, and research of concurrent and allotted structures. This booklet bargains obtainable introductions to key principles within the box, with contributions by way of specialists on every one topic.

The issues coated contain distinct style analyses, which expand uncomplicated style structures to offer them a greater grip at the run time habit of platforms; kind structures for low-level languages; purposes of sorts to reasoning approximately machine courses; variety concept as a framework for the layout of refined module structures; and complicated recommendations in ML-style style inference.

Advanced themes in forms and Programming Languages builds on Benjamin Pierce's Types and Programming Languages (MIT Press, 2002); lots of the chapters will be available to readers accustomed to easy notations and strategies of operational semantics and kind systems—the fabric lined within the first half the sooner book.

Advanced themes in varieties and Programming Languages can be utilized within the lecture room and as a source for execs. such a lot chapters contain routines, ranging in hassle from speedy comprehension exams to difficult extensions, many with options.

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X:T list). compose l) Fortunately, a substructural type system can be used to eliminate both problems by allowing us to define a class of non-size-increasing functions and by preventing the construction of troublesome higher-order functions, such as exp2 . The first step is to demand that all user-defined objects have affine type. They can be used zero or one times, but not more. This restriction immediately rules out programs such as exp2 . System defined operators like cons can be used many times.

But the technical setup is slightly different; we have explicit operations to increment and decrement reference counts whereas incrementing and decrementing counts in Chirimar’s system is done implicitly. Stephanie Weirich suggested the invariant for proving our reference counting system sound. Turner and Wadler (1999) summarize two computational interpretations that arise directly through the Curry-Howard isomorphism from Girard’s linear logic. They differ from the account given in this chapter as neither account has both shared, usable data structures and deallocation.

Xn−1 ] (S;free(xa ,xf )) q →β (S ∼ xa ;App(xf ,x0 , . . ,xn−1 )) (E-Free) where App(xf ,·) = () App(xf ,x0 ,. . ) = xf x0 ;App(xf ,. . 6 Exercise [ , ]: Use the functions provided above to write matrix-matrix multiply. Your multiply function should return an integer and deallocate both arrays in the process. Use any standard integer operations necessary. ✷ In the examples above, we needed some sort of dummy value to swap into an array to replace the value we wanted to extract. For integers and arrays it was easy to come up with one.

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Advanced Topics in Types and Programming Languages by Benjamin C. Pierce

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