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Probability for a First-Order Language

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Topic #3: Lambda

Topic #3: Lambda. CSE 413, Autumn 2007 Programming Languages. Scheme procedures are "first class". Procedures can be manipulated like the other data types in Scheme A variable can have a value that is a procedure A procedure value can be passed as an argument to another procedure

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? I P ( a /x) ? x P a does not occur in ? x P a does not occur in an

? I P ( a /x) ? x P ? E ? xP P(a/x) Q Q a does not occur in undischarged assumption a does not occur in ? xP a does not occur in Q. ? I P ( a /x) ? x P a does not occur in ? x P a does not occur in an undischarged assumption ? E ? x P P ( a /x). ? I

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? I P ( a /x) ? x P a does not occur in ? x P a does not occur in an

? I P ( a /x) ? x P ? E ? xP P(a/x) Q Q a does not occur in undischarged assumption a does not occur in ? xP a does not occur in Q. ? I P ( a /x) ? x P a does not occur in ? x P a does not occur in an undischarged assumption ? E ? x P P ( a /x). ? I

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