By Dan Coffin
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Extra resources for Algebra and pre-calculus on the HP-48G
I t e x t e n d s t h e method of t r e a t i n g e q u a l i t y i n f o r m a t i o n from t h e pre-def ined e q u a l i t i e s t o any user-def ined e q u a l ity. sJ%LXYx= I n a d d i t i o n t o t h e q u o t i e n t mechanism f o r comoreseine i n f o r m a t i o n . we propose a means of a c t u a l l y hidinn i t . There a r e i m p o r t a n t s i t u a t i o n s i n which we need t o know t h a t a proof e x i s t s . b u t we do n o t need any of t h e d e t a i l s . In r e c u r s i v e f u n c t i o n t h e o r y f o r example, t h e l e a s t number o p e r a t o r g i v e s r i s e t o such s i t u a t i o n s .
September 1979.  Dummett. M. Frege Philosophy of Language, (Duckworth. Oxford, 1973).  Feferman. S . Constructive Theories of Functions and Classes, in: Logic Colloquium '78 (North-Holland. Amsterdam. 1979). C231 Fraenkel. A.. and Bar-Hillel. Y.. Foundations of Set Theory (NorthHolland, Amsterdam. 1958). C241 Gordon. , Milner. R. and Wadsworth. C.. Edinburgh LCF: A Mechanized Logic of Computation, Lecture Notes in Computer Science. 78. Springer-Verlag (1979). C251 Cries. D. The Science of Programming (Springer-Verlag.
And Proof-Theory. D. Reidel (Dordrecht. 1972).  Skolem. , Begrt'odung der elementzren Arithmetik durch die rekurrierende Denkweise ohne Anwendung scheinbarer Varanderlichen mit unendlichen Ausdehnunggsbereich. Videnskapsselskapets Skrifter 1, Math-Naturv K16 (1924) 3-38, (also in: From Frege to Gb'del. 302-333 and in: Skolem's Selected Works in Logic, Fenstad. E. ) Oslo. 1970).  Teitelbaum. R. and Reps. , The Cornell Program Synthesizer: A SyntaxDirected Programming Environment, CACM. 24:9 (September 1981) 563-573.
Algebra and pre-calculus on the HP-48G by Dan Coffin