Types. Benjamin J. Keller. Department of Computer Science, Virginia Tech. Page
2. Programming Languages — Types. 2. Types Overview. • Type Systems.
Types and Programming Languages. Benjamin C. Pierce. The MIT Press.
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Benjamin C. Pierce. University ... Overview. Birds-eye view of what's happening
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Benjamin C. Pierce. Types and Programming Languages, The MIT Press,.
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Programming Languages. Concepts of Programming Languages. Assignments.
CMSC 4023. Robert W. Sebesta 9th Edition. Page 1 of 1. Assignment. Number.
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Programming Languages &. Paradigms. PROP HT 2011. Lecture 13. Functional
Programming II – Introcuction to Clojure. Beatrice Åkerblom [email protected].
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A specific model of a parallel system is then defined by combining a program ...
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On the design of programming languages. Proceedings of IFIP Congress. 74.
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Philip Wadler. Issued: Monday 29 January 2007. Due: Monday 19 February 2007
. TAPL refers to Types and Programming Languages by Benjamin Pierce. 1.
Types and Programming Languages, Exercise 1 Philip Wadler Issued: Monday 29 January 2007. Due: Monday 19 February 2007. TAPL refers to Types and Programming Languages by Benjamin Pierce. 1. TAPL, Exercise 3.2.4 2. TAPL, Exercise 3.2.5 3. TAPL, Exercise 3.5.17 4. TAPL, Exercise 3.5.18 5. TAPL, Exercise 4.2.2 6. Write an implementation of untyped call-by-value lambda calculus based on the following principles: • • • •
use a big-step semantics; use an environment rather than substitution at each step; use variable names rather than de Bruijn indices; include booleans and naturals as base types, with the operations given in the text (boolean constants, conditionals, zero, successor, predecessor, test for zero).
7. Using your implementation above, write and test the following: (a) addition, multiplication, and exponentiation on naturals. (Hint: you will need to use the fixpoint combinator Y to support recursion.) (b) addition, multiplication, and exponentiation on Church numerals. (Hint: do not use the fixpoint combinator.) (c) functions to convert a Church numeral to the corresponding natural, and vice versa. 8. Update your answer to Exercise 6 to typed lambda calculus, plus the typed fixpoint operator fix (as in TAPL 11.11). 9. Update your answer to Exercise 7 to typed lambda calculus. (Hint: you may need to assign Church numerals different types depending on how they are used.)