\About \DTuring \dTuring machine interpreter \cThis application is developed using the Concurrent Clean System, \ca programming environment for the functional language Concurrent Clean. \cThis system is developed by the research group Functional Languages at \cthe University of Nijmegen. \dThe Concurrent Clean System is freely available via FTP for \dMacintoshes, Suns, and PCs (OS/2, Windows95) \d(see ftp.cs.kun.nl and http://www.cs.kun.nl/~clean/). \EndAbout \Help \DTuring A Turing Machine Interpreter written in Concurrent Clean, a functional language developed at the department of Functional Languages at the University of Nijmegen. This program is a complete programming environment for the simplest computer of all: \dThe Turing Machine. \DConventions In this Turing machine interpreter the following conventions are used: - The start state must be "S". - The halt state must be "halt". - An empty tapecell is filled with a '#'. - A transition has the following form: from,head -> to,move where from and to are states, head can be any symbol except L and R and move can be any symbol. When move is L or R the head will move one cell to the left resp. right. - Moving the head over the left edge of the tape is considered to be an error, which will be reported. - The interpreter will stop with an error message when there is no transition applicable. - A state can be up to 4 characters long. - The name of the T.M. can be up to 29 characters long. - There is no explicit alphabet the T.M. works on. - There is no explicit set of states. The alphabet and the set of states are defined implicitly by the transitions. A file containing a T.M. contains the transitions and the initial tape contents. First the transitions must be specified, one on each line. A transition consists of the parts 'from', 'head', 'to' and 'move', where 'from' and 'to' are states (max. four characters) and 'head' and 'move' are characters. These parts must be separated by blanks, or one or more of the following characters: (){}[],.;:->. When a complete transition has been read the rest of the line is considered to be comment. The following are all valid transitions: S # Q1 1 From state 'S' reading '#', go to state 'Q1' and write '1' ((Q1,1),(Q2,R)) Read a '1' and go right Q2 # -> halt L The tape is separated from the transitions by a line beginning with the word "Tape": Tape: #0000011111# Empty lines and lines beginning with a '|' (comment lines) are ignored. \DMenus and commands \L \bThe File menu: - The command New will open a new empty Turing Machine. - With the commands Open, Save and Save As a T.M. can be opened and saved. \bWarning: A T.M. is saved in a standard format (see the sample machines). Comments and special transition layouts will be lost! - Help gives you the information you are reading now. - With the command Quit you can quit the program. \L \bThe Machine Menu: - Step: let the T.M. do one step (transition). - Run: change the state into S and let the T.M. run until the halt-state is reached. - Halt/Continue: Halt halts a running T.M., Continue continues a halted T.M. - Speed: a submenu to set the speed of the T.M. (Very Slow - Very Fast). \L \bEditing the Turing Machine: By clicking anywhere on the Turing Machine the machine can be edited. When you click on the state a dialog appears that lets you alter the state of the machine, when you click on a transition a dialog appears that lets you change or remove that transition etcetera. When you click inside the transitions area but outside the existing transitions you can add a new transition. When you Command-click on the tape the head will move to the cell you clicked on. The empty cells between the current head position and the new position will be filled with #'s. \DSample machines Five sample machines have been defined which perform the following actions: \baddunary.tm Adds the two unary coded integers that are on the tape. The head position must be on the first empty cell on the right of the input. \bsleft.tm Shifts the input (consisting of 0's and 1's) one cell to the left. The head can begin anywhere in the input. The input is bounded by the empty cells to left and the right of it. \bsright.tm Shifts the input (consisting of a's and b's) one cell to the right. The head can begin anywhere in the input. The input is bounded by the empty cells to left and the right of it. \beright.tm Shifts the input one cell to the right (just like sright.tm) and after that starts again. Therefore it will continue to shift the input to the right "eternally" (until the heap is full). \bbininc.tm Increments the binary number that is on the tape. The binary number on the tape is reversed (low bits to the left, high bits to the right, e.g. 001 = 8 decimal). After incrementing the number it starts again. \EndHelp