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slide 1 courtesy costas busch - rpi1 mathematical preliminaries slide 2 courtesy costas busch - rpi2 mathematical preliminaries sets functions relations graphs proof techniques…
slide 1 courtesy costas busch - rpi1 turing machines slide 2 courtesy costas busch - rpi2 the language hierarchy regular languages context-free languages ? ? slide 3 courtesy…
slide 1 courtesy costas busch - rpi1 pushdown automata pdas slide 2 courtesy costas busch - rpi2 pushdown automaton -- pda input string stack states slide 3 courtesy costas…
slide 1 courtesy costas busch - rpi1 non-regular languages slide 2 courtesy costas busch - rpi2 regular languages non-regular languages slide 3 courtesy costas busch - rpi3…
slide 1courtesy costas busch - rpi1 linear bounded automata lbas slide 2 courtesy costas busch - rpi2 linear bounded automata (lbas) are the same as turing machines with…
slide 1 courtesy costas busch - rpi1 a universal turing machine slide 2 courtesy costas busch - rpi2 turing machines are “hardwired” they execute only one program a limitation…
slide 1 courtesy costas busch - rpi1 turing’s thesis slide 2 courtesy costas busch - rpi2 turing’s thesis: any computation carried out by mechanical means can be performed…
slide 1 courtesy costas busch - rpi1 recursively enumerable and recursive languages slide 2 courtesy costas busch - rpi2 definition: a language is recursively enumerable…
slide 1 courtesy costas busch - rpi1 npdas accept context-free languages slide 2 courtesy costas busch - rpi2 instantaneous description current state remaining input current…
slide 1 courtesy costas busch - rpi1 reducibility slide 2 courtesy costas busch - rpi2 problem is reduced to problem if we can solve problem then we can solve problem slide…
slide 1 courtesy costas busch - rpi1 positive properties of context-free languages slide 2 courtesy costas busch - rpi2 context-free languages are closed under: union is…
slide 1 costas busch - rpi1 context-free languages slide 2 costas busch - rpi2 regular languages slide 3 costas busch - rpi3 regular languages context-free languages slide…
slide 1 costas busch - rpi1 mathematical preliminaries slide 2 costas busch - rpi2 mathematical preliminaries sets functions relations graphs proof techniques slide 3 costas…
slide 1 costas busch - rpi1 finite automata slide 2 costas busch - rpi2 finite automaton input string output string finite automaton slide 3 costas busch - rpi3 finite accepter…
slide 1 costas busch - rpi1 turing machines slide 2 costas busch - rpi2 the language hierarchy regular languages context-free languages ? ? slide 3 costas busch - rpi3 regular…
slide 1 costas busch - rpi1 pushdown automata pdas slide 2 costas busch - rpi2 pushdown automaton -- pda input string stack states slide 3 costas busch - rpi3 initial stack…
costas busch - lsu1 time complexity costas busch - lsu2 consider a deterministic turing machine which decides a language costas busch - lsu3 for any string the computation…
slide 11 costas busch Õ(congestion + dilation) hot-potato routing on leveled networks costas busch rensselaer polytechnic institute slide 2 2 leveled networks congestion…
costas busch - lsu * regular expressions costas busch - lsu costas busch - lsu * regular expressions regular expressions describe regular languages example: describes the…
costas busch - lsu3 we need a tool to prove that the previous problems for context-free languages are undecidable: the post correspondence problem