Pushdown Automata and Context-Free Grammars in Bisimulation Semantics
| Autor: | Baeten, Jos C. M., Carissimo, Cesare, Luttik, Bas |
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| Rok vydání: | 2023 |
| Předmět: |
FOS: Computer and information sciences
Computer Science - Logic in Computer Science TheoryofComputation_COMPUTATIONBYABSTRACTDEVICES General Computer Science Formal Languages and Automata Theory (cs.FL) Theory of computation ��� Turing machines Intermediate acceptance Computer Science - Formal Languages and Automata Theory Theory of computation ��� Grammars and context-free languages Pushdown automaton Logic in Computer Science (cs.LO) Theoretical Computer Science Bisimilarity TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES Theory of computation ��� Process calculi Theory of computation ��� Interactive computation Context-free grammar State awareness Computer Science::Formal Languages and Automata Theory |
| Zdroj: | Logical Methods in Computer Science, 19(1), 15:1-15:32 |
| ISSN: | 1860-5974 |
| DOI: | 10.46298/lmcs-19(1:15)2023 |
| Popis: | The Turing machine models an old-fashioned computer, that does not interact with the user or with other computers, and only does batch processing. Therefore, we came up with a Reactive Turing Machine that does not have these shortcomings. In the Reactive Turing Machine, transitions have labels to give a notion of interactivity. In the resulting process graph, we use bisimilarity instead of language equivalence. Subsequently, we considered other classical theorems and notions from automata theory and formal languages theory. In this paper, we consider the classical theorem of the correspondence between pushdown automata and context-free grammars. By changing the process operator of sequential composition to a sequencing operator with intermediate acceptance, we get a better correspondence in our setting. We find that the missing ingredient to recover the full correspondence is the addition of a notion of state awareness. LIPIcs, Vol. 211, 9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021), pages 8:1-8:16 |
| Databáze: | OpenAIRE |
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