Cheat sheets

TOC-17Cheat sheet1 pageIn a paid pack

Undecidability: Reductions, Rice, PCP

Decision problems as languages of encodings, the acceptance and halting problems and why they are recognisable but undecidable, diagonalisation shown as a table, mapping reductions with their direction and what they transfer (decidability, recognisability), the standard reduction chain, Rice's theorem with its conditions and the cases it does not cover, its extension showing non-recognisability, the Post correspondence problem in brief, and the solved 2014 question on CFG decision problems.

Diagrams from TOC-17

TOC-18Cheat sheet1 pageIn a paid pack

Decidability Master Table and Complements

The decidability master table for membership, emptiness, finiteness, universality, equivalence, containment, disjointness and regularity across regular, DCFL, CFL, CSL, recursive and RE languages, with the method behind each decidable entry; the four cases for a language and its complement; the standard problems with their exact status (RE, co-RE or neither); closure of REC and RE under complement and other operations; and the solved 2013 and 2018 questions. Table consistency and the past-question answers were checked by script.