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Reading
Read the handouts from class.
Read what we covered in today's class: Preface, 1.1, 1.2
Read what we will cover in the next class: 1.3
When reading the Preface pay special attention to the following concepts:
- set, subset, union, intersection, difference, complement, N, N+, Z,
ordered pair, Cartesian product, An, domain of a function, range of a function,
restriction of a function, extension of a function, composition of functions,
partial function on N, total function on N, n-ary relation, iff, ->, <->,
upside down A, backwards E.
When reading 1.1 pay special attention to the following concepts:
- algorithm, effective procedure, computable, noncomputable.
When reading 1.2 pay special attention to the following concepts:
- URM, register, instruction, program, zero instruction, successor instruction,
transfer instruction, jump instruction, initial configuration, final configuration,
how one moves through a list of instructions when preforming a computation,
flow diagram, convergent computation, divergent computation.
When reading 1.3 pay special attention to the following concepts:
- URM-computable function, computable function, flow diagrams, make sure that
you understand the process one goes through in writing programs for URMs.
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