Category Archives: partial functions

Logic without truth

Pi is wrong! But so what? It is neither new, nor complicated enough to count as real math! And suggestions that  or  might be even better show that it not clear-cut either. I recently invested sufficient energy into some logical questions to … Continue reading

Posted in category theory, logic, partial functions | Tagged , , | 5 Comments

A canonical labeling technique by Brendan McKay and isomorphism testing of deterministic finite automata

A deterministic finite automaton (DFA) is a 5-tuple, , consisting of a finite set of states a finite set of input symbols a (partial) transition function an initial state a set of accept states An isomorphism between two DFAs and … Continue reading

Posted in inverse semigroups, isomorphism, partial functions | Tagged , | 4 Comments

Reversibility of binary relations, substochastic matrices, and partial functions

After the last post, I decided that the next post should contain images. Next I decided that the time to publish another post has come. Here is an image of an acceptor finite-state machine, parsing the string “nice”. How can … Continue reading

Posted in partial functions | Tagged , | 1 Comment