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This directory contains the rec-thy package. This package provides a large number of macros to express standard pieces of notation in recursion theory aka computability theory. The file rec-thy.pdf (which can be generated from rec-thy.tex) provides a guide to usage and examples of almost all the macros and package options as well as release notes. Comments, feedback and patches welcomes. Since my goal is to provide something of use to the community (and myself) and having seen some of the problems that can result from even well intentioned licenses later down the road, e.g., difficulties updating TeX, and since I still hold sole copyright I'm releasing this into the public domain (this applies retroactively to prior releases). I would *ask* anyone who reuses it not to be a dick about it (give credit, commit upgrades back, rename if forking etc..). Note, I will assume that any contributions to this package are implicitly released into the public domain as well unless told otherwise. Author: Peter Gerdes email: email@example.com Github URL: https://github.com/TruePath/Recursion-Theory-Latex-Package 10/15/2010 - v1.0 - Original Release 01/01/2011 - v1.2 06/20/2012 - v1.3 09/26/2017 - v2.0 - Added support for introducing requirements, the subfunction relation and probably other undocumented features 10/05/2017 - v2.1 - Fixed way packages are required so rec-thy can be loaded in a flexible order. Also fixed one or two bugs. 11/14/2017 - v2.2 - Fixed \Tdeg so it works different on symbols and vars and added \Tdegof and \Tvarof. Added \subfunneq and \supfunneq. 12/31/2017 - v2.3 - Added proof cases helper. Also fixed the issue with \ncequiv in XeLaTeX 1/17/2018 - v2.4 - Added priority tree helpers. Should be more robust with respect to existing definitions of common commands 2/14/2018 - v2.4.1 - Moved to using xparse to define the case macros and several other macros to allow nested brackets for optional arguments. Added the recf command and cleaned up some option processing. Also worked around the mathtools/unicode-math font bug described here: https://tex.stackexchange.com/questions/335164/incompatibility-with-mathtools-and-unicode-math-in-xelatex/335177 11/29/2018 - v2.4.2 - Fixed horrible bugs introduced in last version and fixed many symbols to work even in pdflatex mode. Also things are compiling again. 11/29/2018 - v2.4.3 - Rendered compatible with beamer by removing enumitem requirement if beamer is loaded. 02/16/2019 - v3.0 - Added requirements environment for multiple requirements. Changed the \req and \require commands to take their optional argument after the first mandatory arguments as well as before. Added the commands \module and \modof. Added operator \xor. Fixed corner quotes. Added \leftofeq, \rightof, \rightofeq. Added \RE, \CE, \Ce, \Re and \Tincompat, \Tincomp, \Tcompat. Changed the way strings are symbolized and coded. Fixed commands to work even with unicode-math. Also added \require* inside \requirements. Added \nleftofeq, \nrightof, \nrightofeq, \nleftof. Commands \ancestor, \descendant, etc... and \reqof, \Astages and \Vstages now require the option suppPriorityTrees be passed to the class to use and should be viewed as depreciated. Fixed the options system so different symbols can be correctly passed to the class. 02/17/2019 - v3.01 - Fixed \RE \CE \Re and \Ce for the various capitalized versions. Fixed weird bug with recfnl not printing. Removed \interior and \closure as not really appropriate commands for the package and having bugs. Also fixed package to indicate correct version. 02/26/2019 - v3.1 - Fixed \wck to use roman capital CK. ?? - v3.2 Removed \reaop, \alphaREAop, \aREAop in favor of using the single form \REAop. Removed \functo, \map and funcomp, \hgtO as useless synonyms and removed \KleeneOBelow and KleeneOLess as beyond what the package should define. Added package option compat31 to ensure package compatibility with version 3.1. An optional parentheses delimited argument specifying the base has been added to \REAop. Both \REAop and the pair \REA/\CEA have been updated to ignore order of optional arguments. The square brackets used to delimit the argument to the use command are now auto-sized. Added \pmapsto, \pmapsfrom, \kleeneZero, \kleeneNum, \entersat. Also Misc typesetting fixes. 05/08/2020 - v3.3 Fixed/added tweak to overline so it looks correct. Also added real symbols so that \subfunneq and \supfunneq can be defined appropriately. Fixed incorrect use of tiny in math mode. 06/01/2020 - v3.3.1 Fixed typo causing error under pdflatex.